TSTP Solution File: SWV685-1 by Otter---3.3

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV685-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jul 27 13:21:22 EDT 2022

% Result   : Unknown 262.90s 262.91s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWV685-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13  % Command  : otter-tptp-script %s
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Jul 27 06:24:50 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 261.78/261.81  ----- Otter 3.3f, August 2004 -----
% 261.78/261.81  The process was started by sandbox2 on n005.cluster.edu,
% 261.78/261.81  Wed Jul 27 06:24:50 2022
% 261.78/261.81  The command was "./otter".  The process ID is 1151.
% 261.78/261.81  
% 261.78/261.81  set(prolog_style_variables).
% 261.78/261.81  set(auto).
% 261.78/261.81     dependent: set(auto1).
% 261.78/261.81     dependent: set(process_input).
% 261.78/261.81     dependent: clear(print_kept).
% 261.78/261.81     dependent: clear(print_new_demod).
% 261.78/261.81     dependent: clear(print_back_demod).
% 261.78/261.81     dependent: clear(print_back_sub).
% 261.78/261.81     dependent: set(control_memory).
% 261.78/261.81     dependent: assign(max_mem, 12000).
% 261.78/261.81     dependent: assign(pick_given_ratio, 4).
% 261.78/261.81     dependent: assign(stats_level, 1).
% 261.78/261.81     dependent: assign(max_seconds, 10800).
% 261.78/261.81  clear(print_given).
% 261.78/261.81  
% 261.78/261.81  list(usable).
% 261.78/261.81  0 [] A=A.
% 261.78/261.81  0 [] -class_Ring__and__Field_Osemiring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_c))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_e)),V_c).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_d))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_c)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_Lim_OLIM(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_a),T_a,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),V_y)).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_b_H))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b_H)).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_ya)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_ya)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_ya)).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a_H)),V_b)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a_H),V_b)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_m)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_m))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_m).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))|V_c=V_d|V_a=V_b.
% 261.78/261.81  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y))|V_y=V_z|V_w=V_x.
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_xa),V_y)).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_b_H))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b_H)).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_a_H)),V_b)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a_H),V_b)).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y)),V_ya)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_ya)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_ya)).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__field(T_a)|c_Deriv_Odifferentiable(hAPP(hAPP(c_COMBS(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_HOL_Oplus__class_Oplus(T_a)),V_f)),V_g),V_x,T_a)| -c_Deriv_Odifferentiable(V_g,V_x,T_a)| -c_Deriv_Odifferentiable(V_f,V_x,T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__field(T_a)|c_Deriv_Odifferentiable(hAPP(hAPP(c_COMBS(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_HOL_Ominus__class_Ominus(T_a)),V_f)),V_g),V_x,T_a)| -c_Deriv_Odifferentiable(V_g,V_x,T_a)| -c_Deriv_Odifferentiable(V_f,V_x,T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_HOL_Oplus__class_Oplus(T_b)),V_f)),V_g),V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),V_L),V_M),T_a,T_b)| -c_Lim_OLIM(V_g,V_a,V_M,T_a,T_b)| -c_Lim_OLIM(V_f,V_a,V_L,T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_HOL_Ominus__class_Ominus(T_b)),V_f)),V_g),V_x,hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_b),V_l),V_m),T_a,T_b)| -c_Lim_OLIM(V_g,V_x,V_m,T_a,T_b)| -c_Lim_OLIM(V_f,V_x,V_l,T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__vector(T_b)|c_Limits_Otendsto(hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_HOL_Ominus__class_Ominus(T_b)),V_f)),V_g),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_b),V_a),V_b),V_net,T_a,T_b)| -c_Limits_Otendsto(V_g,V_b,V_net,T_a,T_b)| -c_Limits_Otendsto(V_f,V_a,V_net,T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__vector(T_b)|c_Limits_Otendsto(hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_HOL_Oplus__class_Oplus(T_b)),V_f)),V_g),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),V_a),V_b),V_net,T_a,T_b)| -c_Limits_Otendsto(V_g,V_b,V_net,T_a,T_b)| -c_Limits_Otendsto(V_f,V_a,V_net,T_a,T_b).
% 261.78/261.81  0 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.81  0 [] hAPP(c_Suc,V_nat_H)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.81  0 [] hAPP(c_Suc,V_m)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.81  0 [] -c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 261.78/261.81  0 [] -c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_n),V_m)!=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_n)!=c_HOL_Ozero__class_Ozero(tc_nat)|V_m=V_n.
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)!=c_HOL_Ozero__class_Ozero(tc_nat)|V_m=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)!=c_HOL_Ozero__class_Ozero(tc_nat)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_m)=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat))=V_m.
% 261.78/261.81  0 [] V_x!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a)|V_a=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)!=V_m|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.81  0 [] c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,V_nat_H).
% 261.78/261.81  0 [] c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,V_m).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n)=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.81  0 [] V_x=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat))=V_m.
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n)=V_n.
% 261.78/261.81  0 [] -class_RealVector_Oreal__field(T_a)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_d))),V_h)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_d)),V_h))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_c)),V_h)),V_d)).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_n,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n),tc_nat)| -c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_n,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_m),tc_nat)| -c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n),tc_nat)| -c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ofield(T_a)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__field(T_a)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y)),V_ya)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_ya)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_y),V_ya)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ofield(T_a)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__field(T_a)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_ya)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_ya)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_y),V_ya)).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBS(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Ominus__class_Ominus(T_a)),V_X)),V_Y),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b),T_a)| -c_SEQ_OLIMSEQ(V_Y,V_b,T_a)| -c_SEQ_OLIMSEQ(V_X,V_a,T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBS(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Oplus__class_Oplus(T_a)),V_X)),V_Y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)| -c_SEQ_OLIMSEQ(V_Y,V_b,T_a)| -c_SEQ_OLIMSEQ(V_X,V_a,T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBC(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Oplus__class_Oplus(T_a)),V_f)),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)| -c_SEQ_OLIMSEQ(V_f,V_a,T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBC(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Ominus__class_Ominus(T_a)),V_f)),V_b),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b),T_a)| -c_SEQ_OLIMSEQ(V_f,V_a,T_a).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_w),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_x),V_z))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_w),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_x),V_y))|V_y=V_z|V_w=V_x.
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_b),V_d))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_a),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_b),V_c))|V_c=V_d|V_a=V_b.
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),V_k)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_k)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_k)).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n)).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,V_k)),V_m)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,V_k)),V_n)|V_m=V_n.
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n),tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_k),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_k),tc_nat).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_x),V_z))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_x),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_x),V_y)).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_x),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_x),V_d))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_x),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_x),V_c)).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_u)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_j),V_u)),V_k))=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),V_i),V_j)),V_u)),V_k).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_n)),V_k)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_k)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_k)).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_n))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n)).
% 261.78/261.81  0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBB(tc_nat,T_a,tc_nat),V_f),hAPP(hAPP(c_COMBC(tc_nat,tc_nat,tc_nat),c_HOL_Oplus__class_Oplus(tc_nat)),V_k)),V_a,T_a)| -c_SEQ_OLIMSEQ(V_f,V_a,T_a).
% 261.78/261.81  0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_OLIMSEQ(V_f,V_a,T_a)| -c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBB(tc_nat,T_a,tc_nat),V_f),hAPP(hAPP(c_COMBC(tc_nat,tc_nat,tc_nat),c_HOL_Oplus__class_Oplus(tc_nat)),V_k)),V_a,T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_HOL_Ominus__class_Ominus(T_b)),V_f)),V_l),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)| -c_Lim_OLIM(V_f,V_a,V_l,T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(V_f,V_a,V_l,T_a,T_b)| -c_Lim_OLIM(hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_HOL_Ominus__class_Ominus(T_b)),V_f)),V_l),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_HOL_Oplus__class_Oplus(T_b)),V_f)),V_g),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)| -c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)| -c_Lim_OLIM(V_f,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OLIMSEQ(V_g,V_L,T_a)| -c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBS(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Ominus__class_Ominus(T_a)),V_f)),V_g),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_SEQ_OLIMSEQ(V_f,V_L,T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OLIMSEQ(V_f,V_L,T_a)| -c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBS(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Ominus__class_Ominus(T_a)),V_f)),V_g),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_SEQ_OLIMSEQ(V_g,V_L,T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),V_f),c_SetInterval_Oord__class_OatLeastLessThan(V_m,hAPP(c_Suc,V_n),tc_nat))=c_HOL_Ozero__class_Ozero(T_a)| -c_HOL_Oord__class_Oless(V_n,V_m,tc_nat).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)))=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y))!=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y))!=c_HOL_Ozero__class_Ozero(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),V_c))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),V_d))|V_c=V_d|V_r=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__comm__semiring__strict(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__semiring__strict(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(hAPP(hAPP(c_COMBB(T_b,T_b,T_a),hAPP(c_HOL_Otimes__class_Otimes(T_b),V_x)),V_g),V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_x),V_l),T_a,T_b)| -c_Lim_OLIM(V_g,V_a,V_l,T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_b)|c_Limits_Otendsto(hAPP(hAPP(c_COMBB(T_b,T_b,T_a),hAPP(c_HOL_Otimes__class_Otimes(T_b),V_x)),V_g),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_x),V_a),V_net,T_a,T_b)| -c_Limits_Otendsto(V_g,V_a,V_net,T_a,T_b).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Osemiring__0(T_a)| -class_Power_Opower(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_HOL_Ozero__class_Ozero(T_a)),hAPP(c_Suc,V_n))=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__field(T_a)|c_Deriv_Odifferentiable(hAPP(hAPP(c_COMBB(T_a,T_a,T_a),V_f),V_g),V_x,T_a)| -c_Deriv_Odifferentiable(V_g,V_x,T_a)| -c_Deriv_Odifferentiable(V_f,hAPP(V_g,V_x),T_a).
% 261.78/261.81  0 [] -class_RealVector_Ometric__space(T_a)| -class_RealVector_Ometric__space(T_b)| -class_RealVector_Ometric__space(T_c)|c_Lim_OLIM(hAPP(hAPP(c_COMBB(T_a,T_b,T_c),V_g),V_f),V_a,hAPP(V_g,V_l),T_c,T_b)| -c_Lim_OLIM(V_f,V_a,V_l,T_c,T_a)| -c_Lim_OLIM(V_g,V_l,hAPP(V_g,V_l),T_a,T_b).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_y)),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))),T_a).
% 261.78/261.81  0 [] -class_RealVector_Ometric__space(T_b)| -class_RealVector_Oreal__normed__vector(T_a)|c_Lim_OLIM(V_f,V_a,V_L,T_a,T_b)| -c_Lim_OLIM(hAPP(hAPP(c_COMBB(T_a,T_b,T_a),V_f),hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a)),c_HOL_Ozero__class_Ozero(T_a),V_L,T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Ometric__space(T_b)| -class_RealVector_Oreal__normed__vector(T_a)|c_Lim_OLIM(hAPP(hAPP(c_COMBB(T_a,T_b,T_a),V_f),hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a)),c_HOL_Ozero__class_Ozero(T_a),V_L,T_a,T_b)| -c_Lim_OLIM(V_f,V_a,V_L,T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Ometric__space(T_b)|c_Lim_OLIM(V_f,V_a,hAPP(V_f,V_a),T_a,T_b)| -c_Lim_OLIM(hAPP(hAPP(c_COMBB(T_a,T_b,T_a),V_f),hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a)),c_HOL_Ozero__class_Ozero(T_a),hAPP(V_f,V_a),T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__vector(T_a)| -class_RealVector_Ometric__space(T_b)|c_Lim_OLIM(hAPP(hAPP(c_COMBB(T_a,T_b,T_a),V_f),hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a)),c_HOL_Ozero__class_Ozero(T_a),hAPP(V_f,V_a),T_a,T_b)| -c_Lim_OLIM(V_f,V_a,hAPP(V_f,V_a),T_a,T_b).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)=V_a.
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=V_a.
% 261.78/261.81  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)=V_a.
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)=V_x.
% 261.78/261.81  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|V_x=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)).
% 261.78/261.81  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=V_a.
% 261.78/261.81  0 [] -class_OrderedGroup_Omonoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)=V_a.
% 261.78/261.81  0 [] -class_OrderedGroup_Omonoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=V_a.
% 261.78/261.81  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y)!=c_HOL_Ozero__class_Ozero(T_a)|V_x=V_y.
% 261.78/261.81  0 [] -class_OrderedGroup_Ogroup__add(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b.
% 261.78/261.81  0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b.
% 261.78/261.81  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|V_x!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x)=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Ogroup__add(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_a)=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Ogroup__add(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=V_a.
% 261.78/261.81  0 [] -class_OrderedGroup_Ogroup__add(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x)=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x)=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(hAPP(c_Suc,V_x),hAPP(c_Suc,V_n),tc_nat)| -c_HOL_Oord__class_Oless(V_x,V_n,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(c_Suc,V_m),hAPP(c_Suc,V_n),tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(hAPP(c_Suc,V_m),hAPP(c_Suc,V_n),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),V_n)=V_m.
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m)),V_n)=V_m.
% 261.78/261.81  0 [] -class_OrderedGroup_Ogroup__add(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_b)=V_a.
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)!=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|V_n=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)!=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|V_m=c_HOL_Ozero__class_Ozero(tc_nat)|V_m=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(hAPP(c_Suc,V_m),V_n,tc_nat)|hAPP(c_Suc,V_m)=V_n| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,V_k)),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,V_k)),V_n),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,V_k)),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,V_k)),V_n),tc_nat).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_i),V_j)),V_k)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_i),V_k)),V_j).
% 261.78/261.81  0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_c),V_d)).
% 261.78/261.81  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,V_n),tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,V_x),tc_nat).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_a)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_y),V_b))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_a)),V_b))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_y),V_b))).
% 261.78/261.81  0 [] V_x=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|V_x=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(V_x,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat).
% 261.78/261.81  0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_xa),V_y)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x)|V_xa=V_y.
% 261.78/261.81  0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_x)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H)|V_x_H=V_y_H.
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_i),V_j)),V_k)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_i),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_k)).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_n),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m))=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_d)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_b).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_d).
% 261.78/261.81  0 [] -class_OrderedGroup_Oab__semigroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),V_k)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)).
% 261.78/261.81  0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_z).
% 261.78/261.81  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)).
% 261.78/261.81  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)).
% 261.78/261.81  0 [] -class_Orderings_Opreorder(T_a)|c_HOL_Oord__class_Oless(V_x,V_z,T_a)| -c_HOL_Oord__class_Oless(V_y,V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 261.78/261.81  0 [] -class_Orderings_Oorder(T_a)|c_HOL_Oord__class_Oless(V_z,V_x,T_a)| -c_HOL_Oord__class_Oless(V_z,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 261.78/261.81  0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_OLIMSEQ(V_f,V_l,T_a)| -c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBB(tc_nat,T_a,tc_nat),V_f),c_Suc),V_l,T_a).
% 261.78/261.81  0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBB(tc_nat,T_a,tc_nat),V_f),c_Suc),V_l,T_a)| -c_SEQ_OLIMSEQ(V_f,V_l,T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Ogroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_b)=V_a.
% 261.78/261.81  0 [] V_n=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(V_n,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_m,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x)),tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_i,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_i)),tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_i,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_m)),tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat)| -c_HOL_Oord__class_Oless(V_i,V_j,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat)| -c_HOL_Oord__class_Oless(V_i,V_j,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_i,V_k,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)| -c_HOL_Oord__class_Oless(V_x,V_z,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat)| -c_HOL_Oord__class_Oless(V_x,V_y,tc_nat).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,V_m)),V_n)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n)).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),hAPP(c_Suc,V_n))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n)).
% 261.78/261.81  0 [] -class_RealVector_Ometric__space(T_b)| -class_RealVector_Oreal__normed__vector(T_a)|c_Lim_OLIM(hAPP(hAPP(c_COMBB(T_a,T_b,T_a),V_f),hAPP(hAPP(c_COMBC(T_a,T_a,T_a),c_HOL_Oplus__class_Oplus(T_a)),V_k)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_k),V_L,T_a,T_b)| -c_Lim_OLIM(V_f,V_a,V_L,T_a,T_b).
% 261.78/261.81  0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y.
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_y,V_x,tc_nat)|c_HOL_Oord__class_Oless(V_x,V_y,tc_nat)|V_x=V_y.
% 261.78/261.81  0 [] hBOOL(hAPP(hAPP(V_P,V_n),V_m))|c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)|V_m=V_n|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 261.78/261.81  0 [] -class_RealVector_Ometric__space(T_a)|V_a=V_b| -c_SEQ_OLIMSEQ(V_X,V_b,T_a)| -c_SEQ_OLIMSEQ(V_X,V_a,T_a).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_n,V_m,tc_nat)|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)|V_m=V_n.
% 261.78/261.81  0 [] -class_RealVector_Ometric__space(T_b)| -class_RealVector_Oreal__normed__algebra__1(T_a)|V_L=V_M| -c_Lim_OLIM(V_f,V_a,V_M,T_a,T_b)| -c_Lim_OLIM(V_f,V_a,V_L,T_a,T_b).
% 261.78/261.81  0 [] -class_Orderings_Olinorder(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 261.78/261.81  0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 261.78/261.81  0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(V_y,V_x,T_a)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)|V_x=V_y.
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(hAPP(c_Suc,V_i),V_k,tc_nat)| -c_HOL_Oord__class_Oless(V_j,V_k,tc_nat)| -c_HOL_Oord__class_Oless(V_i,V_j,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_x,hAPP(c_Suc,V_x),tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_n,hAPP(c_Suc,V_n),tc_nat).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a)| -c_HOL_Oord__class_Oless(V_b,V_c,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_Lim_OLIM(hAPP(hAPP(c_COMBC(T_a,T_a,T_a),c_HOL_Otimes__class_Otimes(T_a)),V_y),V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_y),T_a,T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBB(T_a,T_a,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x)),V_X),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_a),T_a)| -c_SEQ_OLIMSEQ(V_X,V_a,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)| -c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),T_a)| -c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y),T_a)| -c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),V_x)=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Suc,V_q)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Suc,V_q)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_p),V_q)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Suc,V_n))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)).
% 261.78/261.81  0 [] -class_OrderedGroup_Omonoid__mult(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Suc,V_n))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a).
% 261.78/261.81  0 [] -class_Power_Opower(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Suc,V_n))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Suc,V_q))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)).
% 261.78/261.81  0 [] -class_OrderedGroup_Omonoid__mult(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)| -c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__field(T_a)|c_Lim_OLIM(hAPP(hAPP(c_COMBC(T_a,T_a,T_a),c_HOL_Oinverse__class_Odivide(T_a)),V_y),V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_y),T_a,T_a).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_r),V_c))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_r),V_d))|V_c=V_d|V_r=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n)!=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|V_m=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n)!=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|V_n=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)|V_m=V_n.
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n),tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_k),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_k),tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n),tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n),tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_j),V_k),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)| -c_HOL_Oord__class_Oless(V_i,V_j,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_i),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_j),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)| -c_HOL_Oord__class_Oless(V_i,V_j,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_k),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_k),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat).
% 261.78/261.81  0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBB(tc_nat,T_a,tc_nat),V_X),hAPP(hAPP(c_COMBC(tc_nat,tc_nat,tc_nat),c_HOL_Otimes__class_Otimes(tc_nat)),V_l)),V_x,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_l,tc_nat)| -c_SEQ_OLIMSEQ(V_X,V_x,T_a).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(v_i,v_n,tc_nat).
% 261.78/261.81  0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),hAPP(hAPP(c_COMBB(tc_nat,T_a,tc_nat),V_f),hAPP(hAPP(c_COMBC(tc_nat,tc_nat,tc_nat),c_HOL_Oplus__class_Oplus(tc_nat)),V_k))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),V_f),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k),tc_nat))),hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),V_f),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat))).
% 261.78/261.81  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),V_f),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k),tc_nat))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),hAPP(hAPP(c_COMBB(tc_nat,T_a,tc_nat),V_f),hAPP(hAPP(c_COMBC(tc_nat,tc_nat,tc_nat),c_HOL_Oplus__class_Oplus(tc_nat)),V_k))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat))),hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),V_f),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat))).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__ring(T_a)| -class_OrderedGroup_Omonoid__mult(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Suc,V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Suc,V_n)))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y)),hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),hAPP(hAPP(c_COMBS(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Otimes__class_Otimes(T_a)),hAPP(c_Power_Opower__class_Opower(T_a),V_x))),hAPP(hAPP(c_COMBB(tc_nat,T_a,tc_nat),hAPP(c_Power_Opower__class_Opower(T_a),V_y)),hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_n)))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,V_n),tc_nat))).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(hAPP(hAPP(c_COMBB(T_b,T_b,T_a),hAPP(c_HOL_Otimes__class_Otimes(T_b),V_c)),V_f),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)| -c_Lim_OLIM(V_f,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(hAPP(hAPP(c_COMBB(T_b,T_b,T_a),hAPP(c_HOL_Otimes__class_Otimes(T_b),V_x)),V_g),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)| -c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_b)|c_Limits_Otendsto(hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_HOL_Otimes__class_Otimes(T_b)),V_g)),V_y),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_a),V_y),V_net,T_a,T_b)| -c_Limits_Otendsto(V_g,V_a,V_net,T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_HOL_Otimes__class_Otimes(T_b)),V_g)),V_y),V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_l),V_y),T_a,T_b)| -c_Lim_OLIM(V_g,V_a,V_l,T_a,T_b).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_c),V_b),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_c),V_b),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ofield(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_w),V_z))=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_z))|V_z=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)|c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_z),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y))=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_z),V_y))),V_y)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_z),V_y))),V_y)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a)| -c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a)| -c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a)| -c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a)| -c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ofield(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_w),V_z))=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_z))|V_z=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(V_z,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y),T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_z),V_y),V_x,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y),V_z,T_a)| -c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_z),V_y),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__field(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c),V_a,T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_HOL_Otimes__class_Otimes(T_b)),V_f)),V_g),V_a,hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_L),V_M),T_a,T_b)| -c_Lim_OLIM(V_g,V_a,V_M,T_a,T_b)| -c_Lim_OLIM(V_f,V_a,V_L,T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_b)|c_Limits_Otendsto(hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_HOL_Otimes__class_Otimes(T_b)),V_f)),V_g),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_b),V_a),V_b),V_net,T_a,T_b)| -c_Limits_Otendsto(V_g,V_b,V_net,T_a,T_b)| -c_Limits_Otendsto(V_f,V_a,V_net,T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__field(T_a)|c_Deriv_Odifferentiable(hAPP(hAPP(c_COMBS(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_HOL_Otimes__class_Otimes(T_a)),V_f)),V_g),V_x,T_a)| -c_Deriv_Odifferentiable(V_g,V_x,T_a)| -c_Deriv_Odifferentiable(V_f,V_x,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_HOL_Ozero__class_Ozero(tc_nat)),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__idom(T_a)|V_n=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_n),T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__field(T_b)|c_Limits_Otendsto(hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_HOL_Oinverse__class_Odivide(T_b)),V_g)),V_y),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_b),V_a),V_y),V_net,T_a,T_b)| -c_Limits_Otendsto(V_g,V_a,V_net,T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__field(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_HOL_Oinverse__class_Odivide(T_b)),V_g)),V_y),V_a,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_b),V_l),V_y),T_a,T_b)| -c_Lim_OLIM(V_g,V_a,V_l,T_a,T_b).
% 261.78/261.81  0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_HOL_Ominus__class_Ominus(T_a)),V_f)),V_g)),V_A)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_g),V_A)).
% 261.78/261.81  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_HOL_Oplus__class_Oplus(T_a)),V_f)),V_g)),V_A)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_g),V_A)).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBS(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Otimes__class_Otimes(T_a)),V_X)),V_Y),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b),T_a)| -c_SEQ_OLIMSEQ(V_Y,V_b,T_a)| -c_SEQ_OLIMSEQ(V_X,V_a,T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBC(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Otimes__class_Otimes(T_a)),V_X)),V_y),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_y),T_a)| -c_SEQ_OLIMSEQ(V_X,V_a,T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__field(T_a)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBC(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Oinverse__class_Odivide(T_a)),V_X)),V_y),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_y),T_a)| -c_SEQ_OLIMSEQ(V_X,V_a,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__ring(T_a)| -class_OrderedGroup_Omonoid__mult(T_a)|hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),hAPP(hAPP(c_COMBC(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Ominus__class_Ominus(T_a)),hAPP(hAPP(c_COMBS(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_COMBB(tc_nat,T_a,tc_nat),hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_z),V_h))),hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m)))),hAPP(c_Power_Opower__class_Opower(T_a),V_z)))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_z),V_m))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat))=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),hAPP(hAPP(c_COMBS(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Otimes__class_Otimes(T_a)),hAPP(c_Power_Opower__class_Opower(T_a),V_z))),hAPP(hAPP(c_COMBS(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Ominus__class_Ominus(T_a)),hAPP(hAPP(c_COMBB(tc_nat,T_a,tc_nat),hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_z),V_h))),hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m)))),hAPP(hAPP(c_COMBB(tc_nat,T_a,tc_nat),hAPP(c_Power_Opower__class_Opower(T_a),V_z)),hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m))))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__field(T_a)|c_Deriv_Odifferentiable(hAPP(hAPP(c_COMBC(T_a,tc_nat,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_nat,T_a),T_a),c_Power_Opower__class_Opower(T_a)),V_f)),V_n),V_x,T_a)| -c_Deriv_Odifferentiable(V_f,V_x,T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_b)| -class_Power_Opower(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(hAPP(hAPP(c_COMBC(T_a,tc_nat,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_nat,T_b),T_a),c_Power_Opower__class_Opower(T_b)),V_f)),V_n),V_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_l),V_n),T_a,T_b)| -c_Lim_OLIM(V_f,V_a,V_l,T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_a)| -class_Power_Opower(T_a)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBC(tc_nat,tc_nat,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_nat,T_a),tc_nat),c_Power_Opower__class_Opower(T_a)),V_X)),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m),T_a)| -c_SEQ_OLIMSEQ(V_X,V_a,T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),V_f),c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,V_m),hAPP(c_Suc,V_n),tc_nat))=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),hAPP(hAPP(c_COMBB(tc_nat,T_a,tc_nat),V_f),c_Suc)),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_n,tc_nat)).
% 261.78/261.81  0 [] V_n!=hAPP(c_Suc,V_n).
% 261.78/261.81  0 [] hAPP(c_Suc,V_n)!=V_n.
% 261.78/261.81  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),V_f),c_SetInterval_Oord__class_OatLeastLessThan(V_m,hAPP(c_Suc,V_n),tc_nat))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),V_f),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_n,tc_nat))),hAPP(V_f,V_n))|c_HOL_Oord__class_Oless(V_n,V_m,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_n),V_m),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_n),V_m),tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_m,hAPP(c_Suc,V_n),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(c_Suc,V_m),V_n,tc_nat).
% 261.78/261.81  0 [] hAPP(c_Suc,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_n),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))))=V_n| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 261.78/261.81  0 [] -class_Ring__and__Field_Osemiring__1(T_a)|c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),T_a)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)).
% 261.78/261.81  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H)|c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x),V_y)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_x_H),V_y_H)|c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),V_f),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_n,tc_nat))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(V_f,V_m)),hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),V_f),c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,V_m),V_n,tc_nat)))| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)!=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|V_m=c_HOL_Ozero__class_Ozero(tc_nat)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)!=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|V_n=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|V_m=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat).
% 261.78/261.81  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)|c_HOL_Oord__class_Oless(V_x,hAPP(c_Suc,V_x),tc_nat).
% 261.78/261.81  0 [] -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_n,hAPP(c_Suc,V_m),tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_n,hAPP(c_Suc,V_m),tc_nat)|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(c_Suc,V_m)),V_n)),hAPP(c_Suc,V_k))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_n)),V_k).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)|V_m=V_n.
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n)|V_m=V_n.
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_y)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)|V_y=V_z.
% 261.78/261.81  0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)|V_y=V_z.
% 261.78/261.81  0 [] -class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)|V_b=V_c.
% 261.78/261.81  0 [] -class_OrderedGroup_Ocancel__semigroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)|V_b=V_c.
% 261.78/261.81  0 [] -class_OrderedGroup_Ocancel__semigroup__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a)|V_b=V_c.
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_n).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_n).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,V_m)),V_n)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(c_Suc,V_n)).
% 261.78/261.81  0 [] hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)|V_n=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.81  0 [] hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)|V_m=c_HOL_Ozero__class_Ozero(tc_nat)|V_m=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.81  0 [] hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))).
% 261.78/261.81  0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_u)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)=V_u.
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_n),hAPP(c_Suc,V_m),tc_nat).
% 261.78/261.81  0 [] -hBOOL(hAPP(V_P,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_b),V_x)),V_b)))|hBOOL(hAPP(V_P,V_x)).
% 261.78/261.81  0 [] -hBOOL(hAPP(V_P,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_b),V_d)),V_b)))|hBOOL(hAPP(V_P,V_d)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c)).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,V_m)),V_n)=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(c_Suc,V_n))=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c)=V_d.
% 261.78/261.81  0 [] -class_Ring__and__Field_Oring(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d)|V_c=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_l)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n)| -c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_x).
% 261.78/261.81  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_l),V_n),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_l),V_m),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_l,tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 261.78/261.81  0 [] hAPP(c_Suc,V_nat)!=hAPP(c_Suc,V_nat_H)|V_nat=V_nat_H.
% 261.78/261.81  0 [] hAPP(c_Suc,V_x)!=hAPP(c_Suc,V_y)|V_x=V_y.
% 261.78/261.81  0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c),V_d,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b)),V_e)),V_c),V_d,T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_HOL_Oord__class_Oless(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d),T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Opordered__ring(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a)| -c_HOL_Oord__class_Oless(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_b),V_a)),V_e)),V_d),T_a).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 261.78/261.81  0 [] hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)|V_m=c_HOL_Ozero__class_Ozero(tc_nat)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.81  0 [] hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)|V_n=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|V_m=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(c_Suc,V_m)),hAPP(c_Suc,V_n))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_n).
% 261.78/261.81  0 [] V_n=V_m| -c_HOL_Oord__class_Oless(V_n,hAPP(c_Suc,V_m),tc_nat)|c_HOL_Oord__class_Oless(V_n,V_m,tc_nat).
% 261.78/261.81  0 [] V_m=V_n| -c_HOL_Oord__class_Oless(V_n,hAPP(c_Suc,V_m),tc_nat)|c_HOL_Oord__class_Oless(V_n,V_m,tc_nat).
% 261.78/261.81  0 [] V_m=V_n|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(V_m,hAPP(c_Suc,V_n),tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_j),V_n),V_k,tc_nat)| -c_HOL_Oord__class_Oless(V_j,V_k,tc_nat).
% 261.78/261.81  0 [] hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.81  0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 261.78/261.81  0 [] -c_HOL_Oord__class_Oless(V_n,V_n,tc_nat).
% 261.78/261.81  0 [] -c_HOL_Oord__class_Oless(V_x,V_x,tc_nat).
% 261.78/261.81  0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 261.78/261.81  0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_x,T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Opordered__comm__monoid__add(T_a)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_l),tc_nat)| -c_HOL_Oord__class_Oless(V_k,V_l,tc_nat)| -c_HOL_Oord__class_Oless(V_i,V_j,tc_nat).
% 261.78/261.81  0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a)| -c_HOL_Oord__class_Oless(V_c,V_d,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oordered__semidom(T_a)|c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 261.78/261.81  0 [] -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat).
% 261.78/261.81  0 [] -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_j),V_k),tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat)| -c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_j),V_k),tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_k),tc_nat)| -c_HOL_Oord__class_Oless(V_i,V_j,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(V_m,V_n,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat)| -c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 261.78/261.81  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 261.78/261.81  0 [] hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat)))| -c_HOL_Oord__class_Oless(V_a,V_b,tc_nat)| -hBOOL(hAPP(V_P,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_a),V_b))).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_n),V_m,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_m),V_n))=V_m|c_HOL_Oord__class_Oless(V_m,V_n,tc_nat).
% 261.78/261.81  0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_n),hAPP(c_Suc,V_i)),V_n,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat).
% 261.78/261.81  0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a).
% 261.78/261.81  0 [] -class_Orderings_Opreorder(T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a).
% 261.78/261.81  0 [] -class_Orderings_Olinorder(T_a)| -c_HOL_Oord__class_Oless(V_x,V_y,T_a)| -c_HOL_Oord__class_Oless(V_y,V_x,T_a).
% 261.78/261.81  0 [] -class_Orderings_Oorder(T_a)| -c_HOL_Oord__class_Oless(V_a,V_b,T_a)| -c_HOL_Oord__class_Oless(V_b,V_a,T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_HOL_Otimes__class_Otimes(T_b)),V_f)),V_c),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)| -c_Lim_OLIM(V_f,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_HOL_Otimes__class_Otimes(T_b)),V_g)),V_y),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)| -c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_HOL_Otimes__class_Otimes(T_b)),V_f)),V_g),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)| -c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)| -c_Lim_OLIM(V_f,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__field(T_b)| -class_RealVector_Ometric__space(T_a)|c_Lim_OLIM(hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_HOL_Oinverse__class_Odivide(T_b)),V_g)),V_y),V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b)| -c_Lim_OLIM(V_g,V_a,c_HOL_Ozero__class_Ozero(T_b),T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__field(T_a)|c_Deriv_Odifferentiable(hAPP(hAPP(c_COMBS(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_HOL_Oinverse__class_Odivide(T_a)),V_f)),V_g),V_x,T_a)|hAPP(V_g,V_x)=c_HOL_Ozero__class_Ozero(T_a)| -c_Deriv_Odifferentiable(V_g,V_x,T_a)| -c_Deriv_Odifferentiable(V_f,V_x,T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__field(T_b)|c_Limits_Otendsto(hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_HOL_Oinverse__class_Odivide(T_b)),V_f)),V_g),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_b),V_a),V_b),V_net,T_a,T_b)|V_b=c_HOL_Ozero__class_Ozero(T_b)| -c_Limits_Otendsto(V_g,V_b,V_net,T_a,T_b)| -c_Limits_Otendsto(V_f,V_a,V_net,T_a,T_b).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__field(T_a)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBS(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Oinverse__class_Odivide(T_a)),V_X)),V_Y),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b),T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)| -c_SEQ_OLIMSEQ(V_Y,V_b,T_a)| -c_SEQ_OLIMSEQ(V_X,V_a,T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(V_f,c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),V_f),c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),V_k,tc_nat))=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),V_f),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat)).
% 261.78/261.81  0 [] -class_Power_Opower(T_a)| -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),hAPP(hAPP(c_COMBS(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Otimes__class_Otimes(T_a)),hAPP(c_Power_Opower__class_Opower(T_a),V_x))),hAPP(hAPP(c_COMBB(tc_nat,T_a,tc_nat),hAPP(c_Power_Opower__class_Opower(T_a),V_y)),hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_n)))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,V_n),tc_nat))=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),hAPP(hAPP(c_COMBS(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_COMBB(tc_nat,T_a,tc_nat),hAPP(c_Power_Opower__class_Opower(T_a),V_x)),hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_n)))),hAPP(c_Power_Opower__class_Opower(T_a),V_y))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,V_n),tc_nat)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)| -class_OrderedGroup_Omonoid__mult(T_a)|hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),hAPP(hAPP(c_COMBS(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Otimes__class_Otimes(T_a)),hAPP(c_Power_Opower__class_Opower(T_a),V_x))),hAPP(hAPP(c_COMBB(tc_nat,T_a,tc_nat),hAPP(c_Power_Opower__class_Opower(T_a),V_y)),hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(c_Suc,V_n))))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,V_n),tc_nat))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),hAPP(hAPP(c_COMBS(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Otimes__class_Otimes(T_a)),hAPP(c_Power_Opower__class_Opower(T_a),V_x))),hAPP(hAPP(c_COMBB(tc_nat,T_a,tc_nat),hAPP(c_Power_Opower__class_Opower(T_a),V_y)),hAPP(c_HOL_Ominus__class_Ominus(tc_nat),V_n)))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,V_n),tc_nat))).
% 261.78/261.81  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),V_f),c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k),tc_nat))=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),hAPP(hAPP(c_COMBB(tc_nat,T_a,tc_nat),V_f),hAPP(hAPP(c_COMBC(tc_nat,tc_nat,tc_nat),c_HOL_Oplus__class_Oplus(tc_nat)),V_k))),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_n,tc_nat)).
% 261.78/261.81  0 [] hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_d),V_n))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_d),V_k))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(V_n)),V_k)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_d,tc_nat).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra__1(T_a)|c_Series_Osuminf(hAPP(hAPP(c_COMBS(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Otimes__class_Otimes(T_a)),V_f)),hAPP(c_Power_Opower__class_Opower(T_a),c_HOL_Ozero__class_Ozero(T_a))),T_a)=hAPP(V_f,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oring__1(T_a)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),V_f),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)),V_r))=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,T_a),hAPP(hAPP(c_COMBC(tc_nat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_nat),c_HOL_Ominus__class_Ominus(T_a)),V_f)),V_r)),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)).
% 261.78/261.81  0 [] c_FFT__Mirabelle_ODFT(V_n,V_a,v_i)=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),hAPP(hAPP(c_COMBS(tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(V_n))),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),v_i)))),V_a)),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)).
% 261.78/261.81  0 [] c_FFT__Mirabelle_OIDFT(V_n,V_a,v_i)=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),hAPP(hAPP(c_COMBS(tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Oinverse__class_Odivide(tc_Complex_Ocomplex)),V_a)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(V_n))),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),v_i)))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)).
% 261.78/261.81  0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_bool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_bool),T_a),T_b),c_Finite__Set_Osetsum(T_c,T_a)),V_f)),V_B)),V_A)=hAPP(hAPP(c_Finite__Set_Osetsum(T_c,T_a),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_bool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),tc_fun(tc_fun(T_b,tc_bool),T_a),T_c),c_Finite__Set_Osetsum(T_b,T_a)),hAPP(c_COMBC(T_b,T_c,T_a),V_f))),V_A)),V_B).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)),V_c)=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_OrderedGroup_Omonoid__mult(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_n).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ofield(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y)|V_z=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_w),V_z).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ofield(T_a)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)!=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_w),V_z)|V_z=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Ozero__class_Ozero(T_a)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ofield(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)),V_n)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oring__no__zero__divisors(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Oring__no__zero__divisors(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Omult__zero(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Omult__zero(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x)=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n)=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y)=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_c)=V_b|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|V_b=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),V_c)),V_c)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.81  0 [] -class_Ring__and__Field_Osemiring__1(T_a)|c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n),T_a)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Ozero__class_Ozero(T_a)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_c)),V_c).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n)|V_m=V_n|V_k=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_m)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_n)|V_k=c_HOL_Ozero__class_Ozero(tc_nat)|V_m=V_n.
% 261.78/261.81  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_k)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_k)|V_k=c_HOL_Ozero__class_Ozero(tc_nat)|V_m=V_n.
% 261.78/261.81  0 [] -class_OrderedGroup_Omonoid__mult(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)).
% 261.78/261.81  0 [] -class_Ring__and__Field_Ofield(T_a)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)),V_r)=hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_HOL_Oinverse__class_Odivide(T_a)),V_f)),V_r)),V_A).
% 261.78/261.82  0 [] -class_RealVector_Oreal__normed__field(T_a)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_g),V_A)),V_y)=hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_HOL_Oinverse__class_Odivide(T_a)),V_g)),V_y)),V_A).
% 261.78/261.82  0 [] -class_Ring__and__Field_Osemiring__0(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A))=hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),hAPP(c_HOL_Otimes__class_Otimes(T_a),V_r)),V_f)),V_A).
% 261.78/261.82  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_g),V_A))=hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x)),V_g)),V_A).
% 261.78/261.82  0 [] -class_Ring__and__Field_Osemiring__1(T_a)|c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_z))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),V_z).
% 261.78/261.82  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n)),V_k)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_k)).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ry)).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),V_rx)).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly).
% 261.78/261.82  0 [] -class_OrderedGroup_Oab__semigroup__mult(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)).
% 261.78/261.82  0 [] -class_OrderedGroup_Ocomm__monoid__mult(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),V_n)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),V_q)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_q)).
% 261.78/261.82  0 [] -class_Ring__and__Field_Osemiring__0(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)),V_r)=hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_HOL_Otimes__class_Otimes(T_a)),V_f)),V_r)),V_A).
% 261.78/261.82  0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_g),V_A)),V_y)=hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_HOL_Otimes__class_Otimes(T_a)),V_g)),V_y)),V_A).
% 261.78/261.82  0 [] -class_OrderedGroup_Oab__semigroup__idem__mult(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x)=V_x.
% 261.78/261.82  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_m)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n).
% 261.78/261.82  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.82  0 [] -class_Ring__and__Field_Osemiring__0(T_a)| -class_Power_Opower(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_n)=c_HOL_Ozero__class_Ozero(T_a)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)| -class_Ring__and__Field_Ono__zero__divisors(T_a)| -class_Ring__and__Field_Omult__zero(T_a)| -class_Power_Opower(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_n)=c_HOL_Ozero__class_Ozero(T_a)|V_n=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.82  0 [] -class_Ring__and__Field_Oring__1__no__zero__divisors(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)| -class_Ring__and__Field_Ono__zero__divisors(T_a)| -class_Ring__and__Field_Omult__zero(T_a)| -class_Power_Opower(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.82  0 [] -class_OrderedGroup_Oab__semigroup__idem__mult(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_z),V_w))=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_w)).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)),V_n)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ofield(T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a)|V_a=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_c).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ofield(T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_c)=V_a.
% 261.78/261.82  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|V_a=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_c)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),V_c)=V_a|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry))).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),V_ry)).
% 261.78/261.82  0 [] -class_Ring__and__Field_Oring__no__zero__divisors(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)!=c_HOL_Ozero__class_Ozero(T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ono__zero__divisors(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)!=c_HOL_Ozero__class_Ozero(T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ono__zero__divisors(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.82  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n)!=c_HOL_Ozero__class_Ozero(tc_nat)|V_n=c_HOL_Ozero__class_Ozero(tc_nat)|V_m=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.82  0 [] -class_Nat_Osemiring__char__0(T_a)|c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)!=c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)|V_m=V_n.
% 261.78/261.82  0 [] -class_Ring__and__Field_Osemiring__0(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),V_f),V_A)),hAPP(hAPP(c_Finite__Set_Osetsum(T_c,T_a),V_g),V_B))=hAPP(hAPP(c_Finite__Set_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_bool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_bool),T_a),T_b),c_Finite__Set_Osetsum(T_c,T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_a),tc_fun(T_c,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,T_a),tc_fun(tc_fun(T_c,T_a),tc_fun(T_c,T_a)),T_b),c_COMBB(T_a,T_a,T_c)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_HOL_Otimes__class_Otimes(T_a)),V_f))),V_g))),V_B)),V_A).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),V_q)=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_p),V_q)).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_x).
% 261.78/261.82  0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_m),V_n)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_n),V_m).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)| -class_Ring__and__Field_Ono__zero__divisors(T_a)| -class_Ring__and__Field_Omult__zero(T_a)| -class_Power_Opower(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.82  0 [] hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_P),V_Q),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 261.78/261.82  0 [] hAPP(hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_P),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 261.78/261.82  0 [] hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P),V_Q),V_R)=hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ofield(T_a)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_i),V_j))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),V_k),V_i)))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_j)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_k))),V_i)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ofield(T_a)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a)=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_b),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.82  0 [] -class_RealVector_Oreal__normed__field(T_a)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_y)=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c))=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b))=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_a),V_b)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 261.78/261.82  0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),V_y).
% 261.78/261.82  0 [] hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),hAPP(hAPP(c_COMBC(tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBS(tc_nat,tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex)),tc_fun(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex)),tc_nat),c_COMBC(tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_nat,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex)),tc_nat),hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex))),hAPP(hAPP(c_COMBC(tc_nat,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex)),tc_fun(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_nat,tc_Complex_Ocomplex)),tc_nat),c_COMBS(tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_nat,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex)),tc_nat),hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Oinverse__class_Odivide(tc_Complex_Ocomplex))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_nat),tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n)))),hAPP(c_COMBC(tc_nat,tc_nat,tc_nat),c_HOL_Otimes__class_Otimes(tc_nat)))))),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),v_i)))))),v_a))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex)),hAPP(v_a,v_i)).
% 261.78/261.82  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 261.78/261.82  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 261.78/261.82  0 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat).
% 261.78/261.82  0 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat).
% 261.78/261.82  0 [] class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat).
% 261.78/261.82  0 [] class_Ring__and__Field_Oordered__semiring__strict(tc_nat).
% 261.78/261.82  0 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_nat).
% 261.78/261.82  0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat).
% 261.78/261.82  0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_nat).
% 261.78/261.82  0 [] class_Ring__and__Field_Ono__zero__divisors(tc_nat).
% 261.78/261.82  0 [] class_Ring__and__Field_Oordered__semidom(tc_nat).
% 261.78/261.82  0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_nat).
% 261.78/261.82  0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_nat).
% 261.78/261.82  0 [] class_OrderedGroup_Oab__semigroup__mult(tc_nat).
% 261.78/261.82  0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_nat).
% 261.78/261.82  0 [] class_OrderedGroup_Oab__semigroup__add(tc_nat).
% 261.78/261.82  0 [] class_Ring__and__Field_Ocomm__semiring(tc_nat).
% 261.78/261.82  0 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 261.78/261.82  0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_nat).
% 261.78/261.82  0 [] class_Ring__and__Field_Osemiring__1(tc_nat).
% 261.78/261.82  0 [] class_Ring__and__Field_Osemiring__0(tc_nat).
% 261.78/261.82  0 [] class_Ring__and__Field_Omult__zero(tc_nat).
% 261.78/261.82  0 [] class_OrderedGroup_Omonoid__mult(tc_nat).
% 261.78/261.82  0 [] class_Ring__and__Field_Osemiring(tc_nat).
% 261.78/261.82  0 [] class_OrderedGroup_Omonoid__add(tc_nat).
% 261.78/261.82  0 [] class_Nat_Osemiring__char__0(tc_nat).
% 261.78/261.82  0 [] class_Orderings_Opreorder(tc_nat).
% 261.78/261.82  0 [] class_Orderings_Olinorder(tc_nat).
% 261.78/261.82  0 [] class_Orderings_Oorder(tc_nat).
% 261.78/261.82  0 [] class_Power_Opower(tc_nat).
% 261.78/261.82  0 [] class_Orderings_Opreorder(tc_bool).
% 261.78/261.82  0 [] class_Orderings_Oorder(tc_bool).
% 261.78/261.82  0 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_RealVector_Ometric__space(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_RealVector_Oreal__field(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_Ring__and__Field_Ofield(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_Ring__and__Field_Oring(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_Ring__and__Field_Oidom(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_Nat_Osemiring__char__0(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_Int_Onumber__ring(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] class_Power_Opower(tc_Complex_Ocomplex).
% 261.78/261.82  0 [] hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P),V_Q),V_R)=hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)).
% 261.78/261.82  0 [] hAPP(hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_P),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 261.78/261.82  0 [] hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_P),V_Q),V_R)=hAPP(V_P,hAPP(V_Q,V_R)).
% 261.78/261.82  0 [] c_fe_qual(V_x,V_x,T_a).
% 261.78/261.82  0 [] V_X=V_Y| -c_fe_qual(V_X,V_Y,T_a).
% 261.78/261.82  end_of_list.
% 261.78/261.82  
% 261.78/261.82  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 261.78/261.82  
% 261.78/261.82  This ia a non-Horn set with equality.  The strategy will be
% 261.78/261.82  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 261.78/261.82  deletion, with positive clauses in sos and nonpositive
% 261.78/261.82  clauses in usable.
% 261.78/261.82  
% 261.78/261.82     dependent: set(knuth_bendix).
% 261.78/261.82     dependent: set(anl_eq).
% 261.78/261.82     dependent: set(para_from).
% 261.78/261.82     dependent: set(para_into).
% 261.78/261.82     dependent: clear(para_from_right).
% 261.78/261.82     dependent: clear(para_into_right).
% 261.78/261.82     dependent: set(para_from_vars).
% 261.78/261.82     dependent: set(eq_units_both_ways).
% 261.78/261.82     dependent: set(dynamic_demod_all).
% 261.78/261.82     dependent: set(dynamic_demod).
% 261.78/261.82     dependent: set(order_eq).
% 261.78/261.82     dependent: set(back_demod).
% 261.78/261.82     dependent: set(lrpo).
% 261.78/261.82     dependent: set(hyper_res).
% 261.78/261.82     dependent: set(unit_deletion).
% 261.78/261.82     dependent: set(factor).
% 261.78/261.82  
% 261.78/261.82  ------------> process usable:
% 261.78/261.82  ** KEPT (pick-wt=40): 2 [copy,1,flip.2] -class_Ring__and__Field_Osemiring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)),E)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)),E)).
% 261.78/261.82  ** KEPT (pick-wt=37): 3 [] -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)).
% 261.78/261.82    Following clause subsumed by 3 during input processing: 0 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)).
% 261.78/261.82  ** KEPT (pick-wt=16): 4 [] -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).
% 261.78/261.82  ** KEPT (pick-wt=30): 5 [] -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)).
% 261.78/261.82  ** KEPT (pick-wt=30): 7 [copy,6,flip.2] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 261.78/261.82    Following clause subsumed by 7 during input processing: 0 [flip.2] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 261.78/261.82  ** KEPT (pick-wt=30): 8 [] -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)).
% 261.78/261.82    Following clause subsumed by 8 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 261.78/261.82  ** KEPT (pick-wt=30): 10 [copy,9,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 261.78/261.82  ** KEPT (pick-wt=30): 11 [] -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)).
% 261.78/261.82  ** KEPT (pick-wt=30): 12 [] -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).
% 261.78/261.82  ** KEPT (pick-wt=24): 13 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),B),A).
% 261.78/261.82  ** KEPT (pick-wt=24): 14 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A).
% 261.78/261.82  ** KEPT (pick-wt=43): 15 [] -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.
% 261.78/261.82    Following clause subsumed by 15 during input processing: 0 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C))|C=E|B=D.
% 261.78/261.82  ** KEPT (pick-wt=30): 17 [copy,16,flip.2] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),C),D)).
% 261.78/261.82    Following clause subsumed by 17 during input processing: 0 [flip.2] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),C),D)).
% 261.78/261.82  ** KEPT (pick-wt=30): 18 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)),D)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 261.78/261.82    Following clause subsumed by 18 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)),D)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 261.78/261.82  ** KEPT (pick-wt=31): 19 [] -class_RealVector_Oreal__normed__field(A)|c_Deriv_Odifferentiable(hAPP(hAPP(c_COMBS(A,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),A),c_HOL_Oplus__class_Oplus(A)),B)),C),D,A)| -c_Deriv_Odifferentiable(C,D,A)| -c_Deriv_Odifferentiable(B,D,A).
% 261.78/261.82  ** KEPT (pick-wt=31): 20 [] -class_RealVector_Oreal__normed__field(A)|c_Deriv_Odifferentiable(hAPP(hAPP(c_COMBS(A,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),A),c_HOL_Ominus__class_Ominus(A)),B)),C),D,A)| -c_Deriv_Odifferentiable(C,D,A)| -c_Deriv_Odifferentiable(B,D,A).
% 261.78/261.82  ** KEPT (pick-wt=44): 21 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(hAPP(c_COMBS(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Oplus__class_Oplus(A)),C)),D),E,hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),F),G),B,A)| -c_Lim_OLIM(D,E,G,B,A)| -c_Lim_OLIM(C,E,F,B,A).
% 261.78/261.82  ** KEPT (pick-wt=44): 22 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(hAPP(c_COMBS(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Ominus__class_Ominus(A)),C)),D),E,hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),F),G),B,A)| -c_Lim_OLIM(D,E,G,B,A)| -c_Lim_OLIM(C,E,F,B,A).
% 261.78/261.82  ** KEPT (pick-wt=42): 23 [] -class_RealVector_Oreal__normed__vector(A)|c_Limits_Otendsto(hAPP(hAPP(c_COMBS(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Ominus__class_Ominus(A)),C)),D),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),E),F),G,B,A)| -c_Limits_Otendsto(D,F,G,B,A)| -c_Limits_Otendsto(C,E,G,B,A).
% 261.78/261.82  ** KEPT (pick-wt=42): 24 [] -class_RealVector_Oreal__normed__vector(A)|c_Limits_Otendsto(hAPP(hAPP(c_COMBS(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Oplus__class_Oplus(A)),C)),D),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),E),F),G,B,A)| -c_Limits_Otendsto(D,F,G,B,A)| -c_Limits_Otendsto(C,E,G,B,A).
% 261.78/261.82  ** KEPT (pick-wt=6): 25 [] -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 261.78/261.82  ** KEPT (pick-wt=6): 26 [] hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.82    Following clause subsumed by 26 during input processing: 0 [] hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.82  ** KEPT (pick-wt=5): 27 [] -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 261.78/261.82    Following clause subsumed by 27 during input processing: 0 [] -c_HOL_Oord__class_Oless(A,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat).
% 261.78/261.82  ** KEPT (pick-wt=21): 28 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)!=c_HOL_Ozero__class_Ozero(tc_nat)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),A)!=c_HOL_Ozero__class_Ozero(tc_nat)|B=A.
% 261.78/261.82  ** KEPT (pick-wt=13): 29 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=c_HOL_Ozero__class_Ozero(tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.82  ** KEPT (pick-wt=13): 30 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=c_HOL_Ozero__class_Ozero(tc_nat)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.82  ** KEPT (pick-wt=12): 32 [copy,31,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.82    Following clause subsumed by 32 during input processing: 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=A|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.82  ** KEPT (pick-wt=6): 33 [] c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 261.78/261.82    Following clause subsumed by 33 during input processing: 0 [] c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 261.78/261.82  ** KEPT (pick-wt=60): 34 [] -class_RealVector_Oreal__field(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E))),F)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),C),E)),F))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),D)),F)),E)).
% 261.78/261.82  ** KEPT (pick-wt=23): 35 [] c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A),tc_nat)| -c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),B,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),A,tc_nat).
% 261.78/261.82  ** KEPT (pick-wt=23): 36 [] c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat)| -c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),B,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),A,tc_nat).
% 261.78/261.82  ** KEPT (pick-wt=26): 37 [] c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat)| -c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),A,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),B,tc_nat).
% 261.78/261.82  ** KEPT (pick-wt=30): 38 [] -class_Ring__and__Field_Ofield(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)),D)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),D)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D)).
% 261.78/261.82  ** KEPT (pick-wt=30): 39 [] -class_RealVector_Oreal__normed__field(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)),D)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),D)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D)).
% 261.78/261.82  ** KEPT (pick-wt=30): 40 [] -class_Ring__and__Field_Ofield(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),D)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D)).
% 261.78/261.82  ** KEPT (pick-wt=30): 41 [] -class_RealVector_Oreal__normed__field(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),D)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D)).
% 261.78/261.82  ** KEPT (pick-wt=36): 42 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBS(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Ominus__class_Ominus(A)),B)),C),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),D),E),A)| -c_SEQ_OLIMSEQ(C,E,A)| -c_SEQ_OLIMSEQ(B,D,A).
% 261.78/261.82  ** KEPT (pick-wt=36): 43 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBS(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Oplus__class_Oplus(A)),B)),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),E),A)| -c_SEQ_OLIMSEQ(C,E,A)| -c_SEQ_OLIMSEQ(B,D,A).
% 261.78/261.82  ** KEPT (pick-wt=32): 44 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBC(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Oplus__class_Oplus(A)),B)),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),C),A)| -c_SEQ_OLIMSEQ(B,D,A).
% 261.78/261.82  ** KEPT (pick-wt=32): 45 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBC(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Ominus__class_Ominus(A)),B)),C),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),D),C),A)| -c_SEQ_OLIMSEQ(B,D,A).
% 261.78/261.82  ** KEPT (pick-wt=39): 46 [] 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),D))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B))|B=D|A=C.
% 261.78/261.82    Following clause subsumed by 46 during input processing: 0 [] 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),D))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B))|B=D|A=C.
% 261.78/261.82  ** KEPT (pick-wt=20): 47 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,A)),B)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,A)),C)|B=C.
% 261.78/261.82  ** KEPT (pick-wt=18): 48 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B),tc_nat).
% 261.78/261.82  ** KEPT (pick-wt=18): 49 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C),tc_nat).
% 261.78/261.82  ** KEPT (pick-wt=25): 50 [] -class_RealVector_Ometric__space(A)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBB(tc_nat,A,tc_nat),B),hAPP(hAPP(c_COMBC(tc_nat,tc_nat,tc_nat),c_HOL_Oplus__class_Oplus(tc_nat)),C)),D,A)| -c_SEQ_OLIMSEQ(B,D,A).
% 261.78/261.82  ** KEPT (pick-wt=25): 51 [] -class_RealVector_Ometric__space(A)|c_SEQ_OLIMSEQ(B,C,A)| -c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBB(tc_nat,A,tc_nat),B),hAPP(hAPP(c_COMBC(tc_nat,tc_nat,tc_nat),c_HOL_Oplus__class_Oplus(tc_nat)),D)),C,A).
% 261.78/261.82  ** KEPT (pick-wt=34): 52 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(hAPP(c_COMBC(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Ominus__class_Ominus(A)),C)),D),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(C,E,D,B,A).
% 261.78/261.82  ** KEPT (pick-wt=34): 53 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(C,D,E,B,A)| -c_Lim_OLIM(hAPP(hAPP(c_COMBC(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Ominus__class_Ominus(A)),C)),E),D,c_HOL_Ozero__class_Ozero(A),B,A).
% 261.78/261.82  ** KEPT (pick-wt=42): 54 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(hAPP(c_COMBS(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Oplus__class_Oplus(A)),C)),D),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(D,E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(C,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 261.78/261.82  ** KEPT (pick-wt=14): 55 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Nat_Osemiring__1__class_Oof__nat(B,A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 261.78/261.82  ** KEPT (pick-wt=14): 56 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_Nat_Osemiring__1__class_Oof__nat(B,A),A).
% 261.78/261.82  ** KEPT (pick-wt=32): 57 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OLIMSEQ(B,C,A)| -c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBS(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Ominus__class_Ominus(A)),D)),B),c_HOL_Ozero__class_Ozero(A),A)| -c_SEQ_OLIMSEQ(D,C,A).
% 261.78/261.82  ** KEPT (pick-wt=32): 58 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OLIMSEQ(B,C,A)| -c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBS(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Ominus__class_Ominus(A)),B)),D),c_HOL_Ozero__class_Ozero(A),A)| -c_SEQ_OLIMSEQ(D,C,A).
% 261.78/261.82  ** KEPT (pick-wt=21): 59 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),B),c_SetInterval_Oord__class_OatLeastLessThan(C,hAPP(c_Suc,D),tc_nat))=c_HOL_Ozero__class_Ozero(A)| -c_HOL_Oord__class_Oless(D,C,tc_nat).
% 261.78/261.82  ** KEPT (pick-wt=25): 60 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),B),A).
% 261.78/261.82  ** KEPT (pick-wt=25): 61 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A).
% 261.78/261.82  ** KEPT (pick-wt=25): 62 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A).
% 261.78/261.82  ** KEPT (pick-wt=25): 63 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),B),A).
% 261.78/261.82  ** KEPT (pick-wt=25): 64 [] -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).
% 261.78/261.82  ** KEPT (pick-wt=12): 65 [] -class_Ring__and__Field_Oordered__ring__strict(A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),B),c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.82  ** KEPT (pick-wt=26): 66 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),B),A).
% 261.78/261.82  ** KEPT (pick-wt=26): 67 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A).
% 261.78/261.82  ** KEPT (pick-wt=25): 68 [] -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).
% 261.78/261.82  ** KEPT (pick-wt=25): 69 [] -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).
% 261.78/261.82  ** KEPT (pick-wt=34): 70 [] -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).
% 261.78/261.82  ** KEPT (pick-wt=22): 71 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 261.78/261.82  ** KEPT (pick-wt=22): 72 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 261.78/261.82    Following clause subsumed by 71 during input processing: 0 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.82  ** KEPT (pick-wt=22): 73 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A).
% 261.78/261.82  ** KEPT (pick-wt=22): 74 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B),A).
% 261.78/261.82  ** KEPT (pick-wt=22): 75 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 261.78/261.82  ** KEPT (pick-wt=22): 76 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.82  ** KEPT (pick-wt=25): 77 [] -class_Ring__and__Field_Oordered__comm__semiring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(C,D,A).
% 261.78/261.82  ** KEPT (pick-wt=25): 78 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A)| -c_HOL_Oord__class_Oless(D,B,A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.82  ** KEPT (pick-wt=25): 79 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 261.78/261.82  ** KEPT (pick-wt=25): 80 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 261.78/261.82    Following clause subsumed by 78 during input processing: 0 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,B,A).
% 261.78/261.82  ** KEPT (pick-wt=25): 81 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.82  ** KEPT (pick-wt=25): 82 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 261.78/261.82  ** KEPT (pick-wt=25): 83 [] -class_Ring__and__Field_Oordered__semiring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(C,D,A).
% 261.78/261.82    Following clause subsumed by 81 during input processing: 0 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,C,A).
% 261.78/261.82    Following clause subsumed by 82 during input processing: 0 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(C,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 261.78/261.82  ** KEPT (pick-wt=25): 84 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 261.78/261.82    Following clause subsumed by 81 during input processing: 0 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.82  ** KEPT (pick-wt=25): 85 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),B),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.82  ** KEPT (pick-wt=31): 86 [] -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(hAPP(c_COMBB(A,A,B),hAPP(c_HOL_Otimes__class_Otimes(A),C)),D),E,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),F),B,A)| -c_Lim_OLIM(D,E,F,B,A).
% 261.78/261.82  ** KEPT (pick-wt=29): 87 [] -class_RealVector_Oreal__normed__algebra(A)|c_Limits_Otendsto(hAPP(hAPP(c_COMBB(A,A,B),hAPP(c_HOL_Otimes__class_Otimes(A),C)),D),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),E),F,B,A)| -c_Limits_Otendsto(D,E,F,B,A).
% 261.78/261.82  ** KEPT (pick-wt=17): 88 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 261.78/261.82  ** KEPT (pick-wt=16): 89 [] -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),hAPP(c_Suc,B))=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.82  ** KEPT (pick-wt=17): 90 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.82  ** KEPT (pick-wt=23): 91 [] -class_RealVector_Oreal__normed__field(A)|c_Deriv_Odifferentiable(hAPP(hAPP(c_COMBB(A,A,A),B),C),D,A)| -c_Deriv_Odifferentiable(C,D,A)| -c_Deriv_Odifferentiable(B,hAPP(C,D),A).
% 261.78/261.82  ** KEPT (pick-wt=35): 92 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Ometric__space(B)| -class_RealVector_Ometric__space(C)|c_Lim_OLIM(hAPP(hAPP(c_COMBB(A,B,C),D),E),F,hAPP(D,G),C,B)| -c_Lim_OLIM(E,F,G,C,A)| -c_Lim_OLIM(D,G,hAPP(D,G),A,B).
% 261.78/261.83  ** KEPT (pick-wt=26): 93 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(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)),A)|B=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.83  ** KEPT (pick-wt=26): 94 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(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)),A)|C=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.83  ** KEPT (pick-wt=22): 95 [] -class_Ring__and__Field_Oordered__ring__strict(A)| -c_HOL_Oord__class_Oless(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),A).
% 261.78/261.83  ** KEPT (pick-wt=26): 96 [] -class_Ring__and__Field_Oordered__ring__strict(A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(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))),A).
% 261.78/261.83  ** KEPT (pick-wt=27): 97 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Oreal__normed__vector(B)|c_Lim_OLIM(C,D,E,B,A)| -c_Lim_OLIM(hAPP(hAPP(c_COMBB(B,A,B),C),hAPP(c_HOL_Oplus__class_Oplus(B),D)),c_HOL_Ozero__class_Ozero(B),E,B,A).
% 261.78/261.83  ** KEPT (pick-wt=27): 98 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Oreal__normed__vector(B)|c_Lim_OLIM(hAPP(hAPP(c_COMBB(B,A,B),C),hAPP(c_HOL_Oplus__class_Oplus(B),D)),c_HOL_Ozero__class_Ozero(B),E,B,A)| -c_Lim_OLIM(C,D,E,B,A).
% 261.78/261.83    Following clause subsumed by 97 during input processing: 0 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(C,D,hAPP(C,D),A,B)| -c_Lim_OLIM(hAPP(hAPP(c_COMBB(A,B,A),C),hAPP(c_HOL_Oplus__class_Oplus(A),D)),c_HOL_Ozero__class_Ozero(A),hAPP(C,D),A,B).
% 261.78/261.83    Following clause subsumed by 98 during input processing: 0 [] -class_RealVector_Oreal__normed__vector(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(hAPP(c_COMBB(A,B,A),C),hAPP(c_HOL_Oplus__class_Oplus(A),D)),c_HOL_Ozero__class_Ozero(A),hAPP(C,D),A,B)| -c_Lim_OLIM(C,D,hAPP(C,D),A,B).
% 261.78/261.83  ** KEPT (pick-wt=11): 99 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 261.78/261.83  ** KEPT (pick-wt=11): 100 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A))=B.
% 261.78/261.83  ** KEPT (pick-wt=11): 101 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 261.78/261.83    Following clause subsumed by 99 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 261.78/261.83  ** KEPT (pick-wt=13): 103 [copy,102,flip.3] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A))=B.
% 261.78/261.83  ** KEPT (pick-wt=11): 104 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A))=B.
% 261.78/261.83  ** KEPT (pick-wt=11): 105 [] -class_OrderedGroup_Omonoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_HOL_Ozero__class_Ozero(A)),B)=B.
% 261.78/261.83  ** KEPT (pick-wt=11): 106 [] -class_OrderedGroup_Omonoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),c_HOL_Ozero__class_Ozero(A))=B.
% 261.78/261.83  ** KEPT (pick-wt=16): 107 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 261.78/261.83  ** KEPT (pick-wt=14): 108 [] -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 261.78/261.83  ** KEPT (pick-wt=14): 109 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)!=c_HOL_Ozero__class_Ozero(A)|B=C.
% 261.78/261.83  ** KEPT (pick-wt=13): 110 [] -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).
% 261.78/261.83  ** KEPT (pick-wt=16): 112 [copy,111,flip.3] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)!=B|C=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.83  ** KEPT (pick-wt=13): 113 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),B)=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.83  ** KEPT (pick-wt=11): 114 [] -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),B)=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.83  ** KEPT (pick-wt=11): 115 [] -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),c_HOL_Ozero__class_Ozero(A))=B.
% 261.78/261.83    Following clause subsumed by 114 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),B)=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.83  ** KEPT (pick-wt=11): 116 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),B)=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.83  ** KEPT (pick-wt=15): 117 [] -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).
% 261.78/261.83  ** KEPT (pick-wt=12): 118 [] c_HOL_Oord__class_Oless(hAPP(c_Suc,A),hAPP(c_Suc,B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 261.78/261.83  ** KEPT (pick-wt=12): 119 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(c_Suc,A),hAPP(c_Suc,B),tc_nat).
% 261.78/261.83    Following clause subsumed by 118 during input processing: 0 [] c_HOL_Oord__class_Oless(hAPP(c_Suc,A),hAPP(c_Suc,B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 261.78/261.83  ** KEPT (pick-wt=15): 120 [] -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),C)=B.
% 261.78/261.83  ** KEPT (pick-wt=21): 121 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|B=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.83  ** KEPT (pick-wt=21): 122 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|A=c_HOL_Ozero__class_Ozero(tc_nat)|A=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.83  ** KEPT (pick-wt=15): 123 [] c_HOL_Oord__class_Oless(hAPP(c_Suc,A),B,tc_nat)|hAPP(c_Suc,A)=B| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 261.78/261.83  ** KEPT (pick-wt=22): 124 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,A)),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,A)),C),tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat).
% 261.78/261.83    Following clause subsumed by 48 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,C)),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,C)),B),tc_nat).
% 261.78/261.83  ** KEPT (pick-wt=35): 125 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(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_Ominus__class_Ominus(A),B),D)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),C),E)).
% 261.78/261.83  ** KEPT (pick-wt=22): 126 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.83  ** KEPT (pick-wt=65): 128 [copy,127,flip.2] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),D),E))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)),E))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),D),E)))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),E)).
% 261.78/261.83  ** KEPT (pick-wt=19): 129 [] A=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|A=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(A,hAPP(c_Suc,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat).
% 261.78/261.83  ** KEPT (pick-wt=18): 130 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),D),D)|B=C.
% 261.78/261.83  ** KEPT (pick-wt=18): 131 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),B)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),C),D)|C=D.
% 261.78/261.83  ** KEPT (pick-wt=20): 132 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A),tc_nat).
% 261.78/261.83  ** KEPT (pick-wt=25): 133 [] -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)).
% 261.78/261.83  ** KEPT (pick-wt=25): 134 [] -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)).
% 261.78/261.83  ** KEPT (pick-wt=25): 135 [] -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).
% 261.78/261.83    Following clause subsumed by 133 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 261.78/261.83  ** KEPT (pick-wt=25): 136 [] -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)).
% 261.78/261.83  ** KEPT (pick-wt=25): 137 [] -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)).
% 261.78/261.83    Following clause subsumed by 133 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D)).
% 261.78/261.83  ** KEPT (pick-wt=25): 138 [] -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)).
% 261.78/261.83  ** KEPT (pick-wt=25): 139 [] -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)).
% 261.78/261.83  ** KEPT (pick-wt=14): 140 [] -class_Orderings_Opreorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 261.78/261.83  ** KEPT (pick-wt=14): 141 [] -class_Orderings_Oorder(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(D,C,A).
% 261.78/261.83  ** KEPT (pick-wt=17): 142 [] -class_RealVector_Ometric__space(A)|c_SEQ_OLIMSEQ(B,C,A)| -c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBB(tc_nat,A,tc_nat),B),c_Suc),C,A).
% 261.78/261.83  ** KEPT (pick-wt=17): 143 [] -class_RealVector_Ometric__space(A)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBB(tc_nat,A,tc_nat),B),c_Suc),C,A)| -c_SEQ_OLIMSEQ(B,C,A).
% 261.78/261.83  ** KEPT (pick-wt=15): 144 [] -class_OrderedGroup_Ogroup__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)),C)=B.
% 261.78/261.83  ** KEPT (pick-wt=11): 145 [] A=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(A,hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 261.78/261.83  ** KEPT (pick-wt=40): 146 [] -class_Ring__and__Field_Oring(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),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),D),B)),C)),E))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C)),E).
% 261.78/261.83  ** KEPT (pick-wt=13): 147 [] c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 261.78/261.83  ** KEPT (pick-wt=13): 148 [] c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 261.78/261.83  ** KEPT (pick-wt=13): 149 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C),B,tc_nat).
% 261.78/261.83    Following clause subsumed by 147 during input processing: 0 [] c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 261.78/261.83    Following clause subsumed by 148 during input processing: 0 [] c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 261.78/261.83  ** KEPT (pick-wt=17): 150 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.83  ** KEPT (pick-wt=17): 151 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.83  ** KEPT (pick-wt=17): 152 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.83  ** KEPT (pick-wt=17): 153 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.83  ** KEPT (pick-wt=36): 154 [] -class_RealVector_Ometric__space(A)| -class_RealVector_Oreal__normed__vector(B)|c_Lim_OLIM(hAPP(hAPP(c_COMBB(B,A,B),C),hAPP(hAPP(c_COMBC(B,B,B),c_HOL_Oplus__class_Oplus(B)),D)),hAPP(hAPP(c_HOL_Ominus__class_Ominus(B),E),D),F,B,A)| -c_Lim_OLIM(C,E,F,B,A).
% 261.78/261.83  ** KEPT (pick-wt=13): 155 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 261.78/261.83  ** KEPT (pick-wt=13): 156 [] -class_RealVector_Ometric__space(A)|B=C| -c_SEQ_OLIMSEQ(D,C,A)| -c_SEQ_OLIMSEQ(D,B,A).
% 261.78/261.83  ** KEPT (pick-wt=19): 157 [] -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).
% 261.78/261.83    Following clause subsumed by 155 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_HOL_Oord__class_Oless(B,C,A)|C=B|c_HOL_Oord__class_Oless(C,B,A).
% 261.78/261.83    Following clause subsumed by 155 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A).
% 261.78/261.83    Following clause subsumed by 155 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_HOL_Oord__class_Oless(C,B,A)|c_HOL_Oord__class_Oless(B,C,A).
% 261.78/261.83  ** KEPT (pick-wt=13): 158 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(B,C,A)|c_HOL_Oord__class_Oless(C,B,A)|C=B.
% 261.78/261.83  ** KEPT (pick-wt=14): 159 [] c_HOL_Oord__class_Oless(hAPP(c_Suc,A),B,tc_nat)| -c_HOL_Oord__class_Oless(C,B,tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 261.78/261.83  ** KEPT (pick-wt=20): 160 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D),A)| -c_HOL_Oord__class_Oless(B,D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 261.78/261.83  ** KEPT (pick-wt=21): 161 [] -class_RealVector_Oreal__normed__algebra(A)|c_Lim_OLIM(hAPP(hAPP(c_COMBC(A,A,A),c_HOL_Otimes__class_Otimes(A)),B),C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B),A,A).
% 261.78/261.83  ** KEPT (pick-wt=25): 162 [] -class_RealVector_Oreal__normed__algebra(A)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBB(A,A,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(A),B)),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_SEQ_OLIMSEQ(C,D,A).
% 261.78/261.83  ** KEPT (pick-wt=24): 163 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.83  ** KEPT (pick-wt=24): 164 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 261.78/261.83  ** KEPT (pick-wt=22): 165 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 261.78/261.83  ** KEPT (pick-wt=22): 166 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.83  ** KEPT (pick-wt=25): 167 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(D,B,A).
% 261.78/261.83  ** KEPT (pick-wt=25): 168 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 261.78/261.83  ** KEPT (pick-wt=24): 169 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.83  ** KEPT (pick-wt=24): 170 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 261.78/261.83  ** KEPT (pick-wt=22): 171 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 261.78/261.83  ** KEPT (pick-wt=22): 172 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.83  ** KEPT (pick-wt=28): 173 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 261.78/261.83  ** KEPT (pick-wt=28): 174 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C),A).
% 261.78/261.83  ** KEPT (pick-wt=28): 175 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 261.78/261.83  ** KEPT (pick-wt=28): 176 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C),B,A).
% 261.78/261.83  ** KEPT (pick-wt=24): 177 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),B),A).
% 261.78/261.83  ** KEPT (pick-wt=24): 178 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),A).
% 261.78/261.83  ** KEPT (pick-wt=24): 179 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),B),A).
% 261.78/261.83  ** KEPT (pick-wt=24): 180 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),A).
% 261.78/261.83  ** KEPT (pick-wt=24): 181 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),B),c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.83  ** KEPT (pick-wt=24): 182 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.83  ** KEPT (pick-wt=24): 183 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),B),c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.83  ** KEPT (pick-wt=24): 184 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.83  ** KEPT (pick-wt=22): 185 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),B)=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Suc,C)).
% 261.78/261.83  ** KEPT (pick-wt=22): 187 [copy,186,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Suc,C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 261.78/261.83  ** KEPT (pick-wt=30): 188 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),D)).
% 261.78/261.83    Following clause subsumed by 187 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Suc,C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 261.78/261.83  ** KEPT (pick-wt=22): 190 [copy,189,flip.2] -class_OrderedGroup_Omonoid__mult(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),B)=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Suc,C)).
% 261.78/261.83  ** KEPT (pick-wt=22): 191 [] -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Suc,C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 261.78/261.83    Following clause subsumed by 187 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Suc,C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 261.78/261.83  ** KEPT (pick-wt=30): 193 [copy,192,flip.2] -class_OrderedGroup_Omonoid__mult(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),D)).
% 261.78/261.83  ** KEPT (pick-wt=9): 194 [] -class_Ring__and__Field_Oordered__semidom(A)| -c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(B,A),c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.83  ** KEPT (pick-wt=21): 195 [] -class_RealVector_Oreal__normed__field(A)|c_Lim_OLIM(hAPP(hAPP(c_COMBC(A,A,A),c_HOL_Oinverse__class_Odivide(A)),B),C,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),B),A,A).
% 261.78/261.83  ** KEPT (pick-wt=30): 196 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),D))|C=D|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.83  ** KEPT (pick-wt=20): 197 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 261.78/261.83  ** KEPT (pick-wt=17): 198 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|A=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.83  ** KEPT (pick-wt=17): 199 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|B=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.83  ** KEPT (pick-wt=21): 200 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)|B=C.
% 261.78/261.83  ** KEPT (pick-wt=19): 201 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C),tc_nat).
% 261.78/261.83  ** KEPT (pick-wt=19): 202 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),A),tc_nat).
% 261.78/261.83  ** KEPT (pick-wt=15): 203 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),tc_nat).
% 261.78/261.83  ** KEPT (pick-wt=15): 204 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A),tc_nat).
% 261.78/261.83  ** KEPT (pick-wt=23): 205 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C),tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 261.78/261.83    Following clause subsumed by 48 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat).
% 261.78/261.83  ** KEPT (pick-wt=23): 206 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 261.78/261.83    Following clause subsumed by 205 during input processing: 0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat).
% 261.78/261.83    Following clause subsumed by 205 during input processing: 0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C),tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 261.78/261.83    Following clause subsumed by 206 during input processing: 0 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 261.78/261.83  ** KEPT (pick-wt=30): 207 [] -class_RealVector_Ometric__space(A)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBB(tc_nat,A,tc_nat),B),hAPP(hAPP(c_COMBC(tc_nat,tc_nat,tc_nat),c_HOL_Otimes__class_Otimes(tc_nat)),C)),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat)| -c_SEQ_OLIMSEQ(B,D,A).
% 261.78/261.83  ** KEPT (pick-wt=60): 209 [copy,208,flip.2] -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),B),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),D),tc_nat))),hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),B),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),D,tc_nat)))=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),hAPP(hAPP(c_COMBB(tc_nat,A,tc_nat),B),hAPP(hAPP(c_COMBC(tc_nat,tc_nat,tc_nat),c_HOL_Oplus__class_Oplus(tc_nat)),D))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat)).
% 261.78/261.83  ** KEPT (pick-wt=60): 211 [copy,210,flip.2] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),hAPP(hAPP(c_COMBB(tc_nat,A,tc_nat),B),hAPP(hAPP(c_COMBC(tc_nat,tc_nat,tc_nat),c_HOL_Oplus__class_Oplus(tc_nat)),C))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),D,tc_nat))),hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),B),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat)))=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),B),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),D),C),tc_nat)).
% 261.78/261.83  ** KEPT (pick-wt=81): 213 [copy,212,flip.3] -class_Ring__and__Field_Ocomm__ring(A)| -class_OrderedGroup_Omonoid__mult(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)),hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),hAPP(hAPP(c_COMBS(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Otimes__class_Otimes(A)),hAPP(c_Power_Opower__class_Opower(A),B))),hAPP(hAPP(c_COMBB(tc_nat,A,tc_nat),hAPP(c_Power_Opower__class_Opower(A),C)),hAPP(c_HOL_Ominus__class_Ominus(tc_nat),D)))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,D),tc_nat)))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(c_Suc,D))),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),hAPP(c_Suc,D))).
% 261.78/261.83  ** KEPT (pick-wt=28): 214 [] -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(hAPP(c_COMBB(A,A,B),hAPP(c_HOL_Otimes__class_Otimes(A),C)),D),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(D,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 261.78/261.83    Following clause subsumed by 214 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(hAPP(c_COMBB(A,A,B),hAPP(c_HOL_Otimes__class_Otimes(A),C)),D),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(D,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 261.78/261.83  ** KEPT (pick-wt=36): 215 [] -class_RealVector_Oreal__normed__algebra(A)|c_Limits_Otendsto(hAPP(hAPP(c_COMBC(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Otimes__class_Otimes(A)),C)),D),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),E),D),F,B,A)| -c_Limits_Otendsto(C,E,F,B,A).
% 261.78/261.83  ** KEPT (pick-wt=38): 216 [] -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(hAPP(c_COMBC(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Otimes__class_Otimes(A)),C)),D),E,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),F),D),B,A)| -c_Lim_OLIM(C,E,F,B,A).
% 261.78/261.83  ** KEPT (pick-wt=35): 217 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),D),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,D,A).
% 261.78/261.83  ** KEPT (pick-wt=35): 218 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),D),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(D,C,A).
% 261.78/261.83  ** KEPT (pick-wt=53): 220 [copy,219,flip.2] -class_Ring__and__Field_Ofield(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(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_Otimes__class_Otimes(A),E),C))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),E)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C))|C=c_HOL_Ozero__class_Ozero(A)|E=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.83  ** KEPT (pick-wt=32): 221 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),C,A).
% 261.78/261.83  ** KEPT (pick-wt=32): 222 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 261.78/261.83  ** KEPT (pick-wt=32): 223 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 261.78/261.83  ** KEPT (pick-wt=32): 224 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(C,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),D),A).
% 261.78/261.83  ** KEPT (pick-wt=32): 225 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)|c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A).
% 261.78/261.83  ** KEPT (pick-wt=32): 226 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),B,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 261.78/261.83  ** KEPT (pick-wt=32): 227 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),D,A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),B,A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 261.78/261.83  ** KEPT (pick-wt=32): 228 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),D,A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C),B,A).
% 261.78/261.84  ** KEPT (pick-wt=36): 230 [copy,229,flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D))),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),D))|D=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.84  ** KEPT (pick-wt=36): 232 [copy,231,flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D))),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),D)),C)|D=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.84  ** KEPT (pick-wt=36): 233 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_HOL_Oord__class_Oless(B,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),C,A).
% 261.78/261.84  ** KEPT (pick-wt=36): 234 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_HOL_Oord__class_Oless(D,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(C,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),C,A).
% 261.78/261.84  ** KEPT (pick-wt=36): 235 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),B,A)| -c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A).
% 261.78/261.84  ** KEPT (pick-wt=36): 236 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),D,A)| -c_HOL_Oord__class_Oless(C,c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),B,A)| -c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A).
% 261.78/261.84  ** KEPT (pick-wt=53): 238 [copy,237,flip.2] -class_Ring__and__Field_Ofield(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(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),E),C))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),E)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C))|C=c_HOL_Ozero__class_Ozero(A)|E=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.84  ** KEPT (pick-wt=25): 239 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A).
% 261.78/261.84  ** KEPT (pick-wt=25): 240 [] -class_Ring__and__Field_Oordered__field(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),D,A)| -c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A).
% 261.78/261.84    Following clause subsumed by 239 during input processing: 0 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),C),D),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D),C,A).
% 261.78/261.84  ** KEPT (pick-wt=27): 241 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C),A).
% 261.78/261.84    Following clause subsumed by 240 during input processing: 0 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C),D,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A).
% 261.78/261.84  ** KEPT (pick-wt=27): 242 [] -class_Ring__and__Field_Oordered__field(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),D,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),D),C,A).
% 261.78/261.84  ** KEPT (pick-wt=44): 243 [] -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(hAPP(c_COMBS(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Otimes__class_Otimes(A)),C)),D),E,hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),F),G),B,A)| -c_Lim_OLIM(D,E,G,B,A)| -c_Lim_OLIM(C,E,F,B,A).
% 261.78/261.84  ** KEPT (pick-wt=42): 244 [] -class_RealVector_Oreal__normed__algebra(A)|c_Limits_Otendsto(hAPP(hAPP(c_COMBS(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Otimes__class_Otimes(A)),C)),D),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),E),F),G,B,A)| -c_Limits_Otendsto(D,F,G,B,A)| -c_Limits_Otendsto(C,E,G,B,A).
% 261.78/261.84  ** KEPT (pick-wt=31): 245 [] -class_RealVector_Oreal__normed__field(A)|c_Deriv_Odifferentiable(hAPP(hAPP(c_COMBS(A,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),A),c_HOL_Otimes__class_Otimes(A)),B)),C),D,A)| -c_Deriv_Odifferentiable(C,D,A)| -c_Deriv_Odifferentiable(B,D,A).
% 261.78/261.84  ** KEPT (pick-wt=13): 246 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_HOL_Ozero__class_Ozero(tc_nat)),A).
% 261.78/261.84  ** KEPT (pick-wt=23): 247 [] -class_Ring__and__Field_Oordered__idom(A)|B=c_HOL_Ozero__class_Ozero(tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),B),A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.84  ** KEPT (pick-wt=36): 248 [] -class_RealVector_Oreal__normed__field(A)|c_Limits_Otendsto(hAPP(hAPP(c_COMBC(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Oinverse__class_Odivide(A)),C)),D),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),E),D),F,B,A)| -c_Limits_Otendsto(C,E,F,B,A).
% 261.78/261.84  ** KEPT (pick-wt=38): 249 [] -class_RealVector_Oreal__normed__field(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(hAPP(c_COMBC(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Oinverse__class_Odivide(A)),C)),D),E,hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),F),D),B,A)| -c_Lim_OLIM(C,E,F,B,A).
% 261.78/261.84  ** KEPT (pick-wt=45): 250 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(hAPP(c_Finite__Set_Osetsum(B,A),hAPP(hAPP(c_COMBS(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Ominus__class_Ominus(A)),C)),D)),E)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_Finite__Set_Osetsum(B,A),C),E)),hAPP(hAPP(c_Finite__Set_Osetsum(B,A),D),E)).
% 261.78/261.84  ** KEPT (pick-wt=45): 251 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_Finite__Set_Osetsum(B,A),hAPP(hAPP(c_COMBS(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Oplus__class_Oplus(A)),C)),D)),E)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_Finite__Set_Osetsum(B,A),C),E)),hAPP(hAPP(c_Finite__Set_Osetsum(B,A),D),E)).
% 261.78/261.84  ** KEPT (pick-wt=36): 252 [] -class_RealVector_Oreal__normed__algebra(A)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBS(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Otimes__class_Otimes(A)),B)),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E),A)| -c_SEQ_OLIMSEQ(C,E,A)| -c_SEQ_OLIMSEQ(B,D,A).
% 261.78/261.84  ** KEPT (pick-wt=32): 253 [] -class_RealVector_Oreal__normed__algebra(A)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBC(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Otimes__class_Otimes(A)),B)),C),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C),A)| -c_SEQ_OLIMSEQ(B,D,A).
% 261.78/261.84  ** KEPT (pick-wt=32): 254 [] -class_RealVector_Oreal__normed__field(A)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBC(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Oinverse__class_Odivide(A)),B)),C),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C),A)| -c_SEQ_OLIMSEQ(B,D,A).
% 261.78/261.84  ** KEPT (pick-wt=155): 255 [] -class_Ring__and__Field_Ocomm__ring(A)| -class_OrderedGroup_Omonoid__mult(A)|hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),hAPP(hAPP(c_COMBC(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Ominus__class_Ominus(A)),hAPP(hAPP(c_COMBS(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Otimes__class_Otimes(A)),hAPP(hAPP(c_COMBB(tc_nat,A,tc_nat),hAPP(c_Power_Opower__class_Opower(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C))),hAPP(c_HOL_Ominus__class_Ominus(tc_nat),D)))),hAPP(c_Power_Opower__class_Opower(A),B)))),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),D,tc_nat))=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),hAPP(hAPP(c_COMBS(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Otimes__class_Otimes(A)),hAPP(c_Power_Opower__class_Opower(A),B))),hAPP(hAPP(c_COMBS(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Ominus__class_Ominus(A)),hAPP(hAPP(c_COMBB(tc_nat,A,tc_nat),hAPP(c_Power_Opower__class_Opower(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C))),hAPP(c_HOL_Ominus__class_Ominus(tc_nat),D)))),hAPP(hAPP(c_COMBB(tc_nat,A,tc_nat),hAPP(c_Power_Opower__class_Opower(A),B)),hAPP(c_HOL_Ominus__class_Ominus(tc_nat),D))))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),D,tc_nat)).
% 261.78/261.84  ** KEPT (pick-wt=27): 256 [] -class_RealVector_Oreal__normed__field(A)|c_Deriv_Odifferentiable(hAPP(hAPP(c_COMBC(A,tc_nat,A),hAPP(hAPP(c_COMBB(A,tc_fun(tc_nat,A),A),c_Power_Opower__class_Opower(A)),B)),C),D,A)| -c_Deriv_Odifferentiable(B,D,A).
% 261.78/261.84  ** KEPT (pick-wt=40): 257 [] -class_RealVector_Oreal__normed__algebra(A)| -class_Power_Opower(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(hAPP(c_COMBC(B,tc_nat,A),hAPP(hAPP(c_COMBB(A,tc_fun(tc_nat,A),B),c_Power_Opower__class_Opower(A)),C)),D),E,hAPP(hAPP(c_Power_Opower__class_Opower(A),F),D),B,A)| -c_Lim_OLIM(C,E,F,B,A).
% 261.78/261.84  ** KEPT (pick-wt=34): 258 [] -class_RealVector_Oreal__normed__algebra(A)| -class_Power_Opower(A)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBC(tc_nat,tc_nat,A),hAPP(hAPP(c_COMBB(A,tc_fun(tc_nat,A),tc_nat),c_Power_Opower__class_Opower(A)),B)),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C),A)| -c_SEQ_OLIMSEQ(B,D,A).
% 261.78/261.84  ** KEPT (pick-wt=34): 260 [copy,259,flip.2] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),hAPP(hAPP(c_COMBB(tc_nat,A,tc_nat),B),c_Suc)),c_SetInterval_Oord__class_OatLeastLessThan(C,D,tc_nat))=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),B),c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,C),hAPP(c_Suc,D),tc_nat)).
% 261.78/261.84  ** KEPT (pick-wt=5): 262 [copy,261,flip.1] hAPP(c_Suc,A)!=A.
% 261.78/261.84    Following clause subsumed by 262 during input processing: 0 [] hAPP(c_Suc,A)!=A.
% 261.78/261.84  ** KEPT (pick-wt=36): 264 [copy,263,flip.2] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),B),c_SetInterval_Oord__class_OatLeastLessThan(C,D,tc_nat))),hAPP(B,D))=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),B),c_SetInterval_Oord__class_OatLeastLessThan(C,hAPP(c_Suc,D),tc_nat))|c_HOL_Oord__class_Oless(D,C,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=14): 265 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B),tc_nat)| -c_HOL_Oord__class_Oless(B,A,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=14): 266 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),A),tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=10): 267 [] c_HOL_Oord__class_Oless(A,hAPP(c_Suc,B),tc_nat)| -c_HOL_Oord__class_Oless(A,B,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=10): 268 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(c_Suc,A),B,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=18): 269 [] hAPP(c_Suc,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))))=A| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=21): 270 [] -class_Ring__and__Field_Osemiring__1(A)|c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C),A)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),c_Nat_Osemiring__1__class_Oof__nat(B,A)),c_Nat_Osemiring__1__class_Oof__nat(C,A)).
% 261.78/261.84  ** KEPT (pick-wt=23): 271 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),D),E)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(D,E,A).
% 261.78/261.84  ** KEPT (pick-wt=23): 272 [] -class_OrderedGroup_Opordered__ab__group__add(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)!=hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),D),E)|c_HOL_Oord__class_Oless(D,E,A)| -c_HOL_Oord__class_Oless(B,C,A).
% 261.78/261.84  ** KEPT (pick-wt=36): 274 [copy,273,flip.2] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(B,C)),hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),B),c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,C),D,tc_nat)))=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),B),c_SetInterval_Oord__class_OatLeastLessThan(C,D,tc_nat))| -c_HOL_Oord__class_Oless(C,D,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=19): 275 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|A=c_HOL_Ozero__class_Ozero(tc_nat)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=23): 276 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|B=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|A=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.84    Following clause subsumed by 147 during input processing: 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 261.78/261.84    Following clause subsumed by 148 during input processing: 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=17): 277 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),A).
% 261.78/261.84  ** KEPT (pick-wt=17): 278 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),B),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 261.78/261.84  ** KEPT (pick-wt=10): 279 [] -c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(B,hAPP(c_Suc,A),tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=35): 280 [] -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)).
% 261.78/261.84  ** KEPT (pick-wt=16): 281 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B)|A=C.
% 261.78/261.84  ** KEPT (pick-wt=16): 282 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)|B=C.
% 261.78/261.84    Following clause subsumed by 282 during input processing: 0 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C)|B=C.
% 261.78/261.84  ** KEPT (pick-wt=20): 283 [] -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.
% 261.78/261.84  ** KEPT (pick-wt=18): 284 [] -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.
% 261.78/261.84  ** KEPT (pick-wt=18): 285 [] -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.
% 261.78/261.84  ** KEPT (pick-wt=18): 286 [] -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.
% 261.78/261.84  ** KEPT (pick-wt=21): 287 [] hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)|B=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=21): 288 [] hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)|A=c_HOL_Ozero__class_Ozero(tc_nat)|A=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.84  ** KEPT (pick-wt=28): 289 [] -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.
% 261.78/261.84  ** KEPT (pick-wt=18): 290 [] -hBOOL(hAPP(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)),B)))|hBOOL(hAPP(A,C)).
% 261.78/261.84    Following clause subsumed by 290 during input processing: 0 [] -hBOOL(hAPP(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)),B)))|hBOOL(hAPP(A,C)).
% 261.78/261.84    Following clause subsumed by 146 during input processing: 0 [flip.2] -class_Ring__and__Field_Oring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),E),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),E)),C)),D))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D).
% 261.78/261.84  ** KEPT (pick-wt=43): 291 [] -class_Ring__and__Field_Oring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),E),C)),F)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),E)),C)),D)=F.
% 261.78/261.84  ** KEPT (pick-wt=43): 292 [] -class_Ring__and__Field_Oring(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),E),C)),F)|D=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),E),B)),C)),F).
% 261.78/261.84  ** KEPT (pick-wt=15): 293 [] -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).
% 261.78/261.84  ** KEPT (pick-wt=21): 294 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),D)| -c_HOL_Oord__class_Oless(C,B,tc_nat)|c_HOL_Oord__class_Oless(A,D,tc_nat).
% 261.78/261.84    Following clause subsumed by 293 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),B).
% 261.78/261.84  ** KEPT (pick-wt=15): 295 [] -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).
% 261.78/261.84  ** KEPT (pick-wt=22): 296 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),C),tc_nat)| -c_HOL_Oord__class_Oless(C,A,tc_nat)| -c_HOL_Oord__class_Oless(C,B,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=10): 297 [] hAPP(c_Suc,A)!=hAPP(c_Suc,B)|A=B.
% 261.78/261.84    Following clause subsumed by 297 during input processing: 0 [] hAPP(c_Suc,A)!=hAPP(c_Suc,B)|A=B.
% 261.78/261.84  ** KEPT (pick-wt=45): 298 [] -class_Ring__and__Field_Opordered__ring(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C)),D)),E),F,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),E),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)),F),A).
% 261.78/261.84  ** KEPT (pick-wt=45): 299 [] -class_Ring__and__Field_Opordered__ring(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),E),C)),F),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),E)),C)),D),F,A).
% 261.78/261.84  ** KEPT (pick-wt=45): 300 [] -class_Ring__and__Field_Opordered__ring(A)|c_HOL_Oord__class_Oless(B,hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),C),D)),E)),F),A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E)),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),E)),F),A).
% 261.78/261.84  ** KEPT (pick-wt=45): 301 [] -class_Ring__and__Field_Opordered__ring(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),E),C)),F),A)| -c_HOL_Oord__class_Oless(D,hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),E),B)),C)),F),A).
% 261.78/261.84  ** KEPT (pick-wt=19): 302 [] hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)|A=c_HOL_Ozero__class_Ozero(tc_nat)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=23): 303 [] hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))!=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)|B=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))|A=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.84  ** KEPT (pick-wt=13): 304 [] A=B| -c_HOL_Oord__class_Oless(A,hAPP(c_Suc,B),tc_nat)|c_HOL_Oord__class_Oless(A,B,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=13): 305 [] A=B| -c_HOL_Oord__class_Oless(B,hAPP(c_Suc,A),tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat).
% 261.78/261.84    Following clause subsumed by 304 during input processing: 0 [] A=B|c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(A,hAPP(c_Suc,B),tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=13): 306 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B),C,tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=6): 307 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 261.78/261.84  ** KEPT (pick-wt=4): 308 [] -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 261.78/261.84    Following clause subsumed by 308 during input processing: 0 [] -c_HOL_Oord__class_Oless(A,A,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=6): 309 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 261.78/261.84  ** KEPT (pick-wt=6): 310 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,B,A).
% 261.78/261.84  ** KEPT (pick-wt=22): 311 [] -class_OrderedGroup_Opordered__comm__monoid__add(A)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),C,A)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(A),B,A).
% 261.78/261.84  ** KEPT (pick-wt=22): 312 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),D),tc_nat)| -c_HOL_Oord__class_Oless(B,D,tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=24): 313 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),E),A)| -c_HOL_Oord__class_Oless(C,E,A)| -c_HOL_Oord__class_Oless(B,D,A).
% 261.78/261.84  ** KEPT (pick-wt=16): 314 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C),c_HOL_Ozero__class_Ozero(A),A)| -c_HOL_Oord__class_Oless(B,C,A).
% 261.78/261.84  ** KEPT (pick-wt=16): 315 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),B),C),c_HOL_Ozero__class_Ozero(A),A).
% 261.78/261.84  ** KEPT (pick-wt=14): 316 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(B,C,tc_nat)| -c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(B,A),c_Nat_Osemiring__1__class_Oof__nat(C,A),A).
% 261.78/261.84  ** KEPT (pick-wt=14): 317 [] -class_Ring__and__Field_Oordered__semidom(A)|c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(B,A),c_Nat_Osemiring__1__class_Oof__nat(C,A),A)| -c_HOL_Oord__class_Oless(B,C,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=9): 318 [] -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),B,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=9): 319 [] -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),A,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=18): 320 [] c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),C),tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C),B,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=18): 321 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),C,tc_nat)| -c_HOL_Oord__class_Oless(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),C),B),tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=18): 322 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B),tc_nat)| -c_HOL_Oord__class_Oless(A,C,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=18): 323 [] c_HOL_Oord__class_Oless(A,B,tc_nat)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B),tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=18): 324 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C),tc_nat)| -c_HOL_Oord__class_Oless(B,C,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=20): 325 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),B),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),C),A).
% 261.78/261.84  ** KEPT (pick-wt=20): 326 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),A)| -c_HOL_Oord__class_Oless(C,D,A).
% 261.78/261.84  ** KEPT (pick-wt=20): 327 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),A)| -c_HOL_Oord__class_Oless(C,D,A).
% 261.78/261.84  ** KEPT (pick-wt=20): 328 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),D),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),C),D),A).
% 261.78/261.84  ** KEPT (pick-wt=20): 329 [] -class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),C),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 261.78/261.84  ** KEPT (pick-wt=20): 330 [] -class_OrderedGroup_Opordered__cancel__ab__semigroup__add(A)|c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_HOL_Oplus__class_Oplus(A),D),C),A)| -c_HOL_Oord__class_Oless(B,D,A).
% 261.78/261.84  ** KEPT (pick-wt=18): 331 [] hBOOL(hAPP(A,c_HOL_Ozero__class_Ozero(tc_nat)))| -c_HOL_Oord__class_Oless(B,C,tc_nat)| -hBOOL(hAPP(A,hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),C))).
% 261.78/261.84  ** KEPT (pick-wt=19): 332 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B),A,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=16): 333 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),hAPP(c_Suc,B)),A,tc_nat)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=10): 334 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 261.78/261.84    Following clause subsumed by 334 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 261.78/261.84  ** KEPT (pick-wt=10): 335 [] -class_Orderings_Olinorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 261.78/261.84  ** KEPT (pick-wt=10): 336 [] -class_Orderings_Oorder(A)| -c_HOL_Oord__class_Oless(B,C,A)| -c_HOL_Oord__class_Oless(C,B,A).
% 261.78/261.84  ** KEPT (pick-wt=35): 337 [] -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(hAPP(c_COMBC(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Otimes__class_Otimes(A)),C)),D),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(C,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 261.78/261.84    Following clause subsumed by 337 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(hAPP(c_COMBC(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Otimes__class_Otimes(A)),C)),D),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(C,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 261.78/261.84  ** KEPT (pick-wt=42): 338 [] -class_RealVector_Oreal__normed__algebra(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(hAPP(c_COMBS(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Otimes__class_Otimes(A)),C)),D),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(D,E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(C,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 261.78/261.84  ** KEPT (pick-wt=35): 339 [] -class_RealVector_Oreal__normed__field(A)| -class_RealVector_Ometric__space(B)|c_Lim_OLIM(hAPP(hAPP(c_COMBC(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Oinverse__class_Odivide(A)),C)),D),E,c_HOL_Ozero__class_Ozero(A),B,A)| -c_Lim_OLIM(C,E,c_HOL_Ozero__class_Ozero(A),B,A).
% 261.78/261.84  ** KEPT (pick-wt=37): 340 [] -class_RealVector_Oreal__normed__field(A)|c_Deriv_Odifferentiable(hAPP(hAPP(c_COMBS(A,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),A),c_HOL_Oinverse__class_Odivide(A)),B)),C),D,A)|hAPP(C,D)=c_HOL_Ozero__class_Ozero(A)| -c_Deriv_Odifferentiable(C,D,A)| -c_Deriv_Odifferentiable(B,D,A).
% 261.78/261.84  ** KEPT (pick-wt=46): 341 [] -class_RealVector_Oreal__normed__field(A)|c_Limits_Otendsto(hAPP(hAPP(c_COMBS(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Oinverse__class_Odivide(A)),C)),D),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),E),F),G,B,A)|F=c_HOL_Ozero__class_Ozero(A)| -c_Limits_Otendsto(D,F,G,B,A)| -c_Limits_Otendsto(C,E,G,B,A).
% 261.78/261.84  ** KEPT (pick-wt=40): 342 [] -class_RealVector_Oreal__normed__field(A)|c_SEQ_OLIMSEQ(hAPP(hAPP(c_COMBS(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Oinverse__class_Odivide(A)),B)),C),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),E),A)|E=c_HOL_Ozero__class_Ozero(A)| -c_SEQ_OLIMSEQ(C,E,A)| -c_SEQ_OLIMSEQ(B,D,A).
% 261.78/261.84  ** KEPT (pick-wt=34): 343 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(B,c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Ozero__class_Ozero(A)|hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),B),c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),C,tc_nat))=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),B),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat)).
% 261.78/261.84  ** KEPT (pick-wt=97): 344 [] -class_Power_Opower(A)| -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),hAPP(hAPP(c_COMBS(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Otimes__class_Otimes(A)),hAPP(c_Power_Opower__class_Opower(A),B))),hAPP(hAPP(c_COMBB(tc_nat,A,tc_nat),hAPP(c_Power_Opower__class_Opower(A),C)),hAPP(c_HOL_Ominus__class_Ominus(tc_nat),D)))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,D),tc_nat))=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),hAPP(hAPP(c_COMBS(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Otimes__class_Otimes(A)),hAPP(hAPP(c_COMBB(tc_nat,A,tc_nat),hAPP(c_Power_Opower__class_Opower(A),B)),hAPP(c_HOL_Ominus__class_Ominus(tc_nat),D)))),hAPP(c_Power_Opower__class_Opower(A),C))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,D),tc_nat)).
% 261.78/261.84  ** KEPT (pick-wt=104): 345 [] -class_Ring__and__Field_Ocomm__semiring__0(A)| -class_OrderedGroup_Omonoid__mult(A)|hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),hAPP(hAPP(c_COMBS(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Otimes__class_Otimes(A)),hAPP(c_Power_Opower__class_Opower(A),B))),hAPP(hAPP(c_COMBB(tc_nat,A,tc_nat),hAPP(c_Power_Opower__class_Opower(A),C)),hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(c_Suc,D))))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,D),tc_nat))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),hAPP(hAPP(c_COMBS(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Otimes__class_Otimes(A)),hAPP(c_Power_Opower__class_Opower(A),B))),hAPP(hAPP(c_COMBB(tc_nat,A,tc_nat),hAPP(c_Power_Opower__class_Opower(A),C)),hAPP(c_HOL_Ominus__class_Ominus(tc_nat),D)))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,D),tc_nat))).
% 261.78/261.84  ** KEPT (pick-wt=48): 346 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),B),c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),D),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),E),D),tc_nat))=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),hAPP(hAPP(c_COMBB(tc_nat,A,tc_nat),B),hAPP(hAPP(c_COMBC(tc_nat,tc_nat,tc_nat),c_HOL_Oplus__class_Oplus(tc_nat)),D))),c_SetInterval_Oord__class_OatLeastLessThan(C,E,tc_nat)).
% 261.78/261.84  ** KEPT (pick-wt=30): 347 [] hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(B)),C)| -c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat).
% 261.78/261.84  ** KEPT (pick-wt=31): 348 [] -class_RealVector_Oreal__normed__algebra__1(A)|c_Series_Osuminf(hAPP(hAPP(c_COMBS(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Otimes__class_Otimes(A)),B)),hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A))),A)=hAPP(B,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.84  ** KEPT (pick-wt=54): 349 [] -class_Ring__and__Field_Oring__1(A)|hAPP(hAPP(c_HOL_Ominus__class_Ominus(A),hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),B),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Nat_Osemiring__1__class_Oof__nat(C,A)),D))=hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,A),hAPP(hAPP(c_COMBC(tc_nat,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),tc_nat),c_HOL_Ominus__class_Ominus(A)),B)),D)),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),C,tc_nat)).
% 261.78/261.84  ** KEPT (pick-wt=70): 350 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(hAPP(c_Finite__Set_Osetsum(B,A),hAPP(hAPP(c_COMBC(B,tc_fun(C,tc_bool),A),hAPP(hAPP(c_COMBB(tc_fun(C,A),tc_fun(tc_fun(C,tc_bool),A),B),c_Finite__Set_Osetsum(C,A)),D)),E)),F)=hAPP(hAPP(c_Finite__Set_Osetsum(C,A),hAPP(hAPP(c_COMBC(C,tc_fun(B,tc_bool),A),hAPP(hAPP(c_COMBB(tc_fun(B,A),tc_fun(tc_fun(B,tc_bool),A),C),c_Finite__Set_Osetsum(B,A)),hAPP(c_COMBC(B,C,A),D))),F)),E).
% 261.78/261.84  ** KEPT (pick-wt=19): 351 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)),B)=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.84  ** KEPT (pick-wt=25): 353 [copy,352,flip.2] -class_OrderedGroup_Omonoid__mult(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),D)=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),D)).
% 261.78/261.85  ** KEPT (pick-wt=36): 354 [] -class_Ring__and__Field_Ofield(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),E)|C=c_HOL_Ozero__class_Ozero(A)|E=c_HOL_Ozero__class_Ozero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),E)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),C).
% 261.78/261.85  ** KEPT (pick-wt=36): 355 [] -class_Ring__and__Field_Ofield(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)!=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),E)|E=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),E)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),D),C).
% 261.78/261.85  ** KEPT (pick-wt=14): 357 [copy,356,flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.85  ** KEPT (pick-wt=34): 358 [] -class_Ring__and__Field_Ofield(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)),D)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),D))|C=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.85  ** KEPT (pick-wt=12): 359 [] -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).
% 261.78/261.85  ** KEPT (pick-wt=12): 360 [] -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).
% 261.78/261.85  ** KEPT (pick-wt=12): 361 [] -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).
% 261.78/261.85  ** KEPT (pick-wt=12): 362 [] -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).
% 261.78/261.85  ** KEPT (pick-wt=12): 363 [] -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).
% 261.78/261.85  ** KEPT (pick-wt=12): 364 [] -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).
% 261.78/261.85    Following clause subsumed by 364 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.85  ** KEPT (pick-wt=12): 365 [] -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).
% 261.78/261.85    Following clause subsumed by 365 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.85  ** KEPT (pick-wt=12): 366 [] -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).
% 261.78/261.85    Following clause subsumed by 363 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.85  ** KEPT (pick-wt=21): 367 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.85    Following clause subsumed by 367 during input processing: 0 [flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.85  ** KEPT (pick-wt=21): 368 [] -class_Ring__and__Field_Osemiring__1(A)|c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C),A)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_Nat_Osemiring__1__class_Oof__nat(B,A)),c_Nat_Osemiring__1__class_Oof__nat(C,A)).
% 261.78/261.85    Following clause subsumed by 351 during input processing: 0 [flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),c_HOL_Ozero__class_Ozero(A)),B)),B)=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.85  ** KEPT (pick-wt=20): 369 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)|B=C|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.85    Following clause subsumed by 369 during input processing: 0 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)|A=c_HOL_Ozero__class_Ozero(tc_nat)|B=C.
% 261.78/261.85  ** KEPT (pick-wt=20): 370 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),B)|B=c_HOL_Ozero__class_Ozero(tc_nat)|A=C.
% 261.78/261.85  ** KEPT (pick-wt=25): 371 [] -class_OrderedGroup_Omonoid__mult(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),B)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 261.78/261.85  ** KEPT (pick-wt=39): 372 [] -class_Ring__and__Field_Ofield(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_Finite__Set_Osetsum(B,A),C),D)),E)=hAPP(hAPP(c_Finite__Set_Osetsum(B,A),hAPP(hAPP(c_COMBC(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Oinverse__class_Odivide(A)),C)),E)),D).
% 261.78/261.85  ** KEPT (pick-wt=39): 373 [] -class_RealVector_Oreal__normed__field(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_Finite__Set_Osetsum(B,A),C),D)),E)=hAPP(hAPP(c_Finite__Set_Osetsum(B,A),hAPP(hAPP(c_COMBC(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Oinverse__class_Odivide(A)),C)),E)),D).
% 261.78/261.85  ** KEPT (pick-wt=32): 375 [copy,374,flip.2] -class_Ring__and__Field_Osemiring__0(A)|hAPP(hAPP(c_Finite__Set_Osetsum(B,A),hAPP(hAPP(c_COMBB(A,A,B),hAPP(c_HOL_Otimes__class_Otimes(A),C)),D)),E)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),hAPP(hAPP(c_Finite__Set_Osetsum(B,A),D),E)).
% 261.78/261.85  ** KEPT (pick-wt=32): 377 [copy,376,flip.2] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Finite__Set_Osetsum(B,A),hAPP(hAPP(c_COMBB(A,A,B),hAPP(c_HOL_Otimes__class_Otimes(A),C)),D)),E)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),hAPP(hAPP(c_Finite__Set_Osetsum(B,A),D),E)).
% 261.78/261.85  ** KEPT (pick-wt=9): 378 [] -class_Ring__and__Field_Osemiring__1(A)|c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),A)=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.85    Following clause subsumed by 357 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),c_HOL_Ozero__class_Ozero(A)),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.85  ** KEPT (pick-wt=25): 380 [copy,379,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 261.78/261.85  ** KEPT (pick-wt=25): 381 [] -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)).
% 261.78/261.85    Following clause subsumed by 380 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),D)).
% 261.78/261.85    Following clause subsumed by 380 during input processing: 0 [] -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)).
% 261.78/261.85  ** KEPT (pick-wt=25): 382 [] -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).
% 261.78/261.85  ** KEPT (pick-wt=25): 383 [] -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)).
% 261.78/261.85  ** KEPT (pick-wt=30): 384 [] -class_OrderedGroup_Ocomm__monoid__mult(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),D)).
% 261.78/261.85  ** KEPT (pick-wt=30): 385 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),D)).
% 261.78/261.85  ** KEPT (pick-wt=39): 386 [] -class_Ring__and__Field_Osemiring__0(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_Finite__Set_Osetsum(B,A),C),D)),E)=hAPP(hAPP(c_Finite__Set_Osetsum(B,A),hAPP(hAPP(c_COMBC(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Otimes__class_Otimes(A)),C)),E)),D).
% 261.78/261.85  ** KEPT (pick-wt=39): 387 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_Finite__Set_Osetsum(B,A),C),D)),E)=hAPP(hAPP(c_Finite__Set_Osetsum(B,A),hAPP(hAPP(c_COMBC(B,A,A),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Otimes__class_Otimes(A)),C)),E)),D).
% 261.78/261.85  ** KEPT (pick-wt=10): 388 [] -class_OrderedGroup_Oab__semigroup__idem__mult(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),B)=B.
% 261.78/261.85  ** KEPT (pick-wt=18): 389 [] -class_Ring__and__Field_Osemiring__0(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.85  ** KEPT (pick-wt=22): 390 [] -class_Ring__and__Field_Ozero__ne_q__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.85  ** KEPT (pick-wt=15): 391 [] -class_Ring__and__Field_Oring__1__no__zero__divisors(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.85  ** KEPT (pick-wt=21): 392 [] -class_Ring__and__Field_Ozero__ne_q__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.85  ** KEPT (pick-wt=20): 393 [] -class_OrderedGroup_Oab__semigroup__idem__mult(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C).
% 261.78/261.85  ** KEPT (pick-wt=37): 394 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),D),E))=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),E)).
% 261.78/261.85  ** KEPT (pick-wt=32): 395 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)),D)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),D)).
% 261.78/261.85  ** KEPT (pick-wt=19): 397 [copy,396,flip.3] -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B)),B)=C.
% 261.78/261.85    Following clause subsumed by 397 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B)),B)=C.
% 261.78/261.85    Following clause subsumed by 397 during input processing: 0 [flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.85    Following clause subsumed by 397 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)),C)=B|C=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.85    Following clause subsumed by 381 during input processing: 0 [] -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)).
% 261.78/261.85    Following clause subsumed by 380 during input processing: 0 [] -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))).
% 261.78/261.85  ** KEPT (pick-wt=35): 398 [] -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)).
% 261.78/261.85  ** KEPT (pick-wt=19): 399 [] -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).
% 261.78/261.85  ** KEPT (pick-wt=19): 400 [] -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).
% 261.78/261.85    Following clause subsumed by 400 during input processing: 0 [] -class_Ring__and__Field_Ono__zero__divisors(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.85  ** KEPT (pick-wt=17): 401 [] 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).
% 261.78/261.85  ** KEPT (pick-wt=12): 402 [] -class_Nat_Osemiring__char__0(A)|c_Nat_Osemiring__1__class_Oof__nat(B,A)!=c_Nat_Osemiring__1__class_Oof__nat(C,A)|B=C.
% 261.78/261.85  ** KEPT (pick-wt=91): 403 [] -class_Ring__and__Field_Osemiring__0(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_Finite__Set_Osetsum(B,A),C),D)),hAPP(hAPP(c_Finite__Set_Osetsum(E,A),F),G))=hAPP(hAPP(c_Finite__Set_Osetsum(B,A),hAPP(hAPP(c_COMBC(B,tc_fun(E,tc_bool),A),hAPP(hAPP(c_COMBB(tc_fun(E,A),tc_fun(tc_fun(E,tc_bool),A),B),c_Finite__Set_Osetsum(E,A)),hAPP(hAPP(c_COMBC(B,tc_fun(E,A),tc_fun(E,A)),hAPP(hAPP(c_COMBB(tc_fun(A,A),tc_fun(tc_fun(E,A),tc_fun(E,A)),B),c_COMBB(A,A,E)),hAPP(hAPP(c_COMBB(A,tc_fun(A,A),B),c_HOL_Otimes__class_Otimes(A)),C))),F))),G)),D).
% 261.78/261.85  ** KEPT (pick-wt=25): 404 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),D)=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),D)).
% 261.78/261.85  ** KEPT (pick-wt=15): 405 [] -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).
% 261.78/261.85    Following clause subsumed by 405 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),C)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),C),B).
% 261.78/261.85  ** KEPT (pick-wt=18): 406 [] -class_Ring__and__Field_Ozero__ne_q__one(A)| -class_Ring__and__Field_Ono__zero__divisors(A)| -class_Ring__and__Field_Omult__zero(A)| -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_HOL_Ozero__class_Ozero(tc_nat))!=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.86  ** KEPT (pick-wt=54): 407 [] -class_Ring__and__Field_Ofield(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),C),D))),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),E),C)))=hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),E))),C)|B=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.86  ** KEPT (pick-wt=12): 408 [] -class_Ring__and__Field_Ofield(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.86    Following clause subsumed by 357 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.86    Following clause subsumed by 357 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),c_HOL_Ozero__class_Ozero(A))=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.86  ** KEPT (pick-wt=12): 409 [] -class_RealVector_Oreal__normed__field(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),c_HOL_Ozero__class_Ozero(A)),B)=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.86  ** KEPT (pick-wt=31): 410 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(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_Oinverse__class_Odivide(A),B),D)|C=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.86  ** KEPT (pick-wt=31): 411 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Oinverse__class_Odivide(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_Oinverse__class_Odivide(A),C),D)|B=c_HOL_Ozero__class_Ozero(A).
% 261.78/261.86  ** KEPT (pick-wt=27): 412 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),B),C)),D)=hAPP(hAPP(c_HOL_Oinverse__class_Odivide(A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(A),B),D)),C).
% 261.78/261.86  ** KEPT (pick-wt=190): 413 [] hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),hAPP(hAPP(c_COMBC(tc_nat,tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_fun(tc_nat,tc_bool),tc_Complex_Ocomplex),tc_nat),c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBS(tc_nat,tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex)),tc_fun(tc_Complex_Ocomplex,tc_fun(tc_nat,tc_Complex_Ocomplex)),tc_nat),c_COMBC(tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_nat,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex)),tc_nat),hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex))),hAPP(hAPP(c_COMBC(tc_nat,tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_nat,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex)),tc_fun(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_nat,tc_Complex_Ocomplex)),tc_nat),c_COMBS(tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_Complex_Ocomplex),tc_fun(tc_nat,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex)),tc_nat),hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Oinverse__class_Odivide(tc_Complex_Ocomplex))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_nat),tc_fun(tc_nat,tc_Complex_Ocomplex),tc_nat),hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n)))),hAPP(c_COMBC(tc_nat,tc_nat,tc_nat),c_HOL_Otimes__class_Otimes(tc_nat)))))),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(v_n))),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),v_i)))))),v_a))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),v_n,tc_nat))!=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex)),hAPP(v_a,v_i)).
% 261.78/261.86  ** KEPT (pick-wt=6): 414 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 261.78/261.86  ** KEPT (pick-wt=6): 415 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 261.78/261.86  ** KEPT (pick-wt=7): 416 [] A=B| -c_fe_qual(A,B,C).
% 261.78/261.86    Following clause subsumed by 33 during input processing: 0 [copy,26,flip.1] c_HOL_Ozero__class_Ozero(tc_nat)!=hAPP(c_Suc,A).
% 261.78/261.86  27 back subsumes 25.
% 261.78/261.86    Following clause subsumed by 26 during input processing: 0 [copy,33,flip.1] hAPP(c_Suc,A)!=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.86  165 back subsumes 164.
% 261.78/261.86  166 back subsumes 163.
% 261.78/261.86  171 back subsumes 170.
% 261.78/261.86  172 back subsumes 169.
% 261.78/261.86  
% 261.78/261.86  ------------> process sos:
% 261.78/261.86  ** KEPT (pick-wt=3): 515 [] A=A.
% 261.78/261.86  ** KEPT (pick-wt=9): 516 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat)|A=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.86  ** KEPT (pick-wt=9): 517 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),A)=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.86  ** KEPT (pick-wt=9): 518 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),c_HOL_Ozero__class_Ozero(tc_nat))=A.
% 261.78/261.86  ---> New Demodulator: 519 [new_demod,518] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),c_HOL_Ozero__class_Ozero(tc_nat))=A.
% 261.78/261.86  ** KEPT (pick-wt=11): 520 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.86  ---> New Demodulator: 521 [new_demod,520] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.86  ** KEPT (pick-wt=10): 522 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),A)=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.86  ---> New Demodulator: 523 [new_demod,522] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),A)=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.86  ** KEPT (pick-wt=9): 525 [copy,524,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Ozero__class_Ozero(tc_nat))=A.
% 261.78/261.86  ---> New Demodulator: 526 [new_demod,525] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),c_HOL_Ozero__class_Ozero(tc_nat))=A.
% 261.78/261.86    Following clause subsumed by 515 during input processing: 0 [demod,526] A=A.
% 261.78/261.86  ** KEPT (pick-wt=9): 527 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),A)=A.
% 261.78/261.86  ---> New Demodulator: 528 [new_demod,527] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),A)=A.
% 261.78/261.86  ** KEPT (pick-wt=28): 529 [] 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)).
% 261.78/261.86  ** KEPT (pick-wt=28): 531 [copy,530,flip.1] 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))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)).
% 261.78/261.86  ---> New Demodulator: 532 [new_demod,531] 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))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)).
% 261.78/261.86  ** KEPT (pick-wt=23): 534 [copy,533,demod,532,532] 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_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B)).
% 261.78/261.86    Following clause subsumed by 534 during input processing: 0 [demod,532,532] 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_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B)).
% 261.78/261.86  ** KEPT (pick-wt=38): 536 [copy,535,flip.1] 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),B)),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)),D)).
% 261.78/261.86  ---> New Demodulator: 537 [new_demod,536] 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),B)),C)),D)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)),D)).
% 261.78/261.86  ** KEPT (pick-wt=28): 538 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)).
% 261.78/261.86  ** KEPT (pick-wt=28): 540 [copy,539,flip.1] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),C)).
% 261.78/261.86  ---> New Demodulator: 541 [new_demod,540] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),C)).
% 261.78/261.86  ** KEPT (pick-wt=13): 542 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),B)=A.
% 261.78/261.86  ---> New Demodulator: 543 [new_demod,542] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),B)=A.
% 261.78/261.86  ** KEPT (pick-wt=13): 544 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),A)=B.
% 261.78/261.86  ---> New Demodulator: 545 [new_demod,544] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),A)=B.
% 261.78/261.86  ** KEPT (pick-wt=23): 546 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),C)),B).
% 261.78/261.86  ** KEPT (pick-wt=7): 547 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,A),tc_nat).
% 261.78/261.86    Following clause subsumed by 547 during input processing: 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,A),tc_nat).
% 261.78/261.86  ** KEPT (pick-wt=23): 548 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)).
% 261.78/261.86  ** KEPT (pick-wt=14): 549 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.86  ** KEPT (pick-wt=23): 550 [] 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)).
% 261.78/261.86  ** KEPT (pick-wt=23): 551 [] 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)).
% 261.78/261.86  ---> New Demodulator: 552 [new_demod,551] 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)).
% 261.78/261.86    Following clause subsumed by 515 during input processing: 0 [demod,526] hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.86  ** KEPT (pick-wt=11): 553 [] c_HOL_Oord__class_Oless(A,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),tc_nat).
% 261.78/261.86  ** KEPT (pick-wt=11): 554 [] c_HOL_Oord__class_Oless(A,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A)),tc_nat).
% 261.78/261.86    Following clause subsumed by 553 during input processing: 0 [] c_HOL_Oord__class_Oless(A,hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),tc_nat).
% 261.78/261.86  ** KEPT (pick-wt=20): 555 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)).
% 261.78/261.86  ** KEPT (pick-wt=20): 556 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(c_Suc,B))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)).
% 261.78/261.86  ---> New Demodulator: 557 [new_demod,556] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),hAPP(c_Suc,B))=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)).
% 261.78/261.86  ** KEPT (pick-wt=11): 558 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 261.78/261.86    Following clause subsumed by 558 during input processing: 0 [] hBOOL(hAPP(hAPP(A,B),C))|c_HOL_Oord__class_Oless(B,C,tc_nat)|C=B|c_HOL_Oord__class_Oless(C,B,tc_nat).
% 261.78/261.86    Following clause subsumed by 558 during input processing: 0 [] c_HOL_Oord__class_Oless(A,B,tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat)|B=A.
% 261.78/261.86  ** KEPT (pick-wt=6): 559 [] c_HOL_Oord__class_Oless(A,hAPP(c_Suc,A),tc_nat).
% 261.78/261.86    Following clause subsumed by 559 during input processing: 0 [] c_HOL_Oord__class_Oless(A,hAPP(c_Suc,A),tc_nat).
% 261.78/261.86  ** KEPT (pick-wt=23): 561 [copy,560,demod,557] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.86  ---> New Demodulator: 562 [new_demod,561] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.86  ** KEPT (pick-wt=4): 563 [] c_HOL_Oord__class_Oless(v_i,v_n,tc_nat).
% 261.78/261.86    Following clause subsumed by 559 during input processing: 0 [unit_del,308] c_HOL_Oord__class_Oless(A,hAPP(c_Suc,A),tc_nat).
% 261.78/261.86  ** KEPT (pick-wt=10): 564 [] c_HOL_Oord__class_Oless(A,hAPP(c_Suc,B),tc_nat)|c_HOL_Oord__class_Oless(B,A,tc_nat).
% 261.78/261.86  ** KEPT (pick-wt=27): 565 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(c_Suc,A)),B)),hAPP(c_Suc,C))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C).
% 261.78/261.86  ---> New Demodulator: 566 [new_demod,565] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(c_Suc,A)),B)),hAPP(c_Suc,C))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C).
% 261.78/261.86  ** KEPT (pick-wt=23): 567 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),C).
% 261.78/261.86  ---> New Demodulator: 568 [new_demod,567] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),C).
% 261.78/261.86  ** KEPT (pick-wt=23): 569 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),C).
% 261.78/261.86  ---> New Demodulator: 570 [new_demod,569] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),C))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),C).
% 261.78/261.86  ** KEPT (pick-wt=17): 571 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(c_Suc,B)).
% 261.78/261.86  ---> New Demodulator: 572 [new_demod,571] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(c_Suc,B)).
% 261.78/261.86    Following clause subsumed by 515 during input processing: 0 [demod,528] hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.86  ** KEPT (pick-wt=11): 573 [] c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B),hAPP(c_Suc,A),tc_nat).
% 261.78/261.86  ** KEPT (pick-wt=17): 575 [copy,574,demod,572] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(c_Suc,B))=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)).
% 261.78/261.86  ---> New Demodulator: 576 [new_demod,575] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(c_Suc,B))=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)).
% 261.78/261.86    Following clause subsumed by 515 during input processing: 0 [demod,576] hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)).
% 261.78/261.86  ** KEPT (pick-wt=13): 577 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 261.78/261.86    Following clause subsumed by 559 during input processing: 0 [] c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat).
% 261.78/261.86  ** KEPT (pick-wt=17): 578 [] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(c_Suc,A)),hAPP(c_Suc,B))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B).
% 261.78/261.86  ---> New Demodulator: 579 [new_demod,578] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(c_Suc,A)),hAPP(c_Suc,B))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B).
% 261.78/261.86    Following clause subsumed by 515 during input processing: 0 [demod,526] hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.86    Following clause subsumed by 515 during input processing: 0 [demod,576,526] hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat))=hAPP(c_Suc,c_HOL_Ozero__class_Ozero(tc_nat)).
% 261.78/261.86  ** KEPT (pick-wt=17): 580 [] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),B),A))=B|c_HOL_Oord__class_Oless(B,A,tc_nat).
% 261.78/261.86  ** KEPT (pick-wt=47): 582 [copy,581,flip.1] hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),hAPP(hAPP(c_COMBS(tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(A))),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),v_i)))),B)),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat))=c_FFT__Mirabelle_ODFT(A,B,v_i).
% 261.78/261.86  ---> New Demodulator: 583 [new_demod,582] hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),hAPP(hAPP(c_COMBS(tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Otimes__class_Otimes(tc_Complex_Ocomplex)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(A))),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),v_i)))),B)),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),A,tc_nat))=c_FFT__Mirabelle_ODFT(A,B,v_i).
% 261.78/261.86  ** KEPT (pick-wt=47): 585 [copy,584,flip.1] hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),hAPP(hAPP(c_COMBS(tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Oinverse__class_Odivide(tc_Complex_Ocomplex)),A)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(B))),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),v_i)))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat))=c_FFT__Mirabelle_OIDFT(B,A,v_i).
% 261.78/261.86  ---> New Demodulator: 586 [new_demod,585] hAPP(hAPP(c_Finite__Set_Osetsum(tc_nat,tc_Complex_Ocomplex),hAPP(hAPP(c_COMBS(tc_nat,tc_Complex_Ocomplex,tc_Complex_Ocomplex),hAPP(hAPP(c_COMBB(tc_Complex_Ocomplex,tc_fun(tc_Complex_Ocomplex,tc_Complex_Ocomplex),tc_nat),c_HOL_Oinverse__class_Odivide(tc_Complex_Ocomplex)),A)),hAPP(hAPP(c_COMBB(tc_nat,tc_Complex_Ocomplex,tc_nat),hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(B))),hAPP(c_HOL_Otimes__class_Otimes(tc_nat),v_i)))),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),B,tc_nat))=c_FFT__Mirabelle_OIDFT(B,A,v_i).
% 261.78/261.87  ** KEPT (pick-wt=10): 587 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),A)=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.87  ---> New Demodulator: 588 [new_demod,587] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),A)=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=10): 589 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.87  ---> New Demodulator: 590 [new_demod,589] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),c_HOL_Ozero__class_Ozero(tc_nat))=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=23): 591 [] 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)).
% 261.78/261.87  ---> New Demodulator: 592 [new_demod,591] 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)).
% 261.78/261.87    Following clause subsumed by 515 during input processing: 0 [demod,588,588] c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.87    Following clause subsumed by 515 during input processing: 0 [demod,590,590] c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=13): 593 [] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A).
% 261.78/261.87  ** KEPT (pick-wt=16): 594 [] hAPP(hAPP(hAPP(c_COMBB(A,B,C),D),E),F)=hAPP(D,hAPP(E,F)).
% 261.78/261.87  ---> New Demodulator: 595 [new_demod,594] hAPP(hAPP(hAPP(c_COMBB(A,B,C),D),E),F)=hAPP(D,hAPP(E,F)).
% 261.78/261.87  ** KEPT (pick-wt=16): 596 [] hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 261.78/261.87  ** KEPT (pick-wt=18): 597 [] hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 261.78/261.87  ** KEPT (pick-wt=2): 598 [] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 599 [] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 600 [] class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 601 [] class_Ring__and__Field_Oordered__semiring__strict(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 602 [] class_OrderedGroup_Opordered__comm__monoid__add(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 603 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 604 [] class_OrderedGroup_Ocancel__semigroup__add(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 605 [] class_Ring__and__Field_Ono__zero__divisors(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 606 [] class_Ring__and__Field_Oordered__semidom(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 607 [] class_Ring__and__Field_Ocomm__semiring__1(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 608 [] class_Ring__and__Field_Ocomm__semiring__0(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 609 [] class_OrderedGroup_Oab__semigroup__mult(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 610 [] class_OrderedGroup_Ocomm__monoid__mult(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 611 [] class_OrderedGroup_Oab__semigroup__add(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 612 [] class_Ring__and__Field_Ocomm__semiring(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 613 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 614 [] class_Ring__and__Field_Ozero__ne_q__one(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 615 [] class_Ring__and__Field_Osemiring__1(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 616 [] class_Ring__and__Field_Osemiring__0(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 617 [] class_Ring__and__Field_Omult__zero(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 618 [] class_OrderedGroup_Omonoid__mult(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 619 [] class_Ring__and__Field_Osemiring(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 620 [] class_OrderedGroup_Omonoid__add(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 621 [] class_Nat_Osemiring__char__0(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 622 [] class_Orderings_Opreorder(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 623 [] class_Orderings_Olinorder(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 624 [] class_Orderings_Oorder(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 625 [] class_Power_Opower(tc_nat).
% 261.78/261.87  ** KEPT (pick-wt=2): 626 [] class_Orderings_Opreorder(tc_bool).
% 261.78/261.87  ** KEPT (pick-wt=2): 627 [] class_Orderings_Oorder(tc_bool).
% 261.78/261.87  ** KEPT (pick-wt=2): 628 [] class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 629 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 630 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 631 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 632 [] class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 633 [] class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 634 [] class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 635 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 636 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 637 [] class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 638 [] class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 639 [] class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 640 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 641 [] class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 642 [] class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 643 [] class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 644 [] class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 645 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 646 [] class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 647 [] class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 648 [] class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 649 [] class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 650 [] class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 651 [] class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 652 [] class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 653 [] class_RealVector_Ometric__space(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 654 [] class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 655 [] class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 656 [] class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 657 [] class_RealVector_Oreal__field(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 658 [] class_Ring__and__Field_Ofield(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 659 [] class_Ring__and__Field_Oring(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 660 [] class_Ring__and__Field_Oidom(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 661 [] class_Nat_Osemiring__char__0(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 662 [] class_Int_Onumber__ring(tc_Complex_Ocomplex).
% 261.78/261.87  ** KEPT (pick-wt=2): 663 [] class_Power_Opower(tc_Complex_Ocomplex).
% 261.78/261.87    Following clause subsumed by 597 during input processing: 0 [] hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 261.78/261.87    Following clause subsumed by 596 during input processing: 0 [] hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 261.78/261.87    Following clause subsumed by 515 during input processing: 0 [demod,595] hAPP(D,hAPP(E,F))=hAPP(D,hAPP(E,F)).
% 261.78/261.87  ** KEPT (pick-wt=4): 664 [] c_fe_qual(A,A,B).
% 261.78/261.87    Following clause subsumed by 515 during input processing: 0 [copy,515,flip.1] A=A.
% 261.78/261.87  515 back subsumes 458.
% 261.78/261.87  515 back subsumes 457.
% 261.78/261.87  515 back subsumes 456.
% 261.78/261.87  515 back subsumes 455.
% 261.78/261.87  515 back subsumes 426.
% 261.78/261.87  ** KEPT (pick-wt=9): 665 [copy,517,flip.1] c_HOL_Ozero__class_Ozero(tc_nat)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),A).
% 261.78/261.87  >>>> Starting back demodulation with 519.
% 261.78/261.87  >>>> Starting back demodulation with 521.
% 261.78/261.87  >>>> Starting back demodulation with 523.
% 261.78/261.87  >>>> Starting back demodulation with 526.
% 261.78/261.87      >> back demodulating 520 with 526.
% 261.78/261.87  >>>> Starting back demodulation with 528.
% 261.78/261.87  ** KEPT (pick-wt=28): 666 [copy,529,flip.1] 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).
% 261.78/261.87  >>>> Starting back demodulation with 532.
% 261.78/261.87    Following clause subsumed by 534 during input processing: 0 [copy,534,flip.1] 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_Otimes__class_Otimes(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),C),B)).
% 261.78/261.87  >>>> Starting back demodulation with 537.
% 261.78/261.87  ** KEPT (pick-wt=28): 667 [copy,538,flip.1] hAPP(hAPP(c_HOL_Ominus__class_Ominus(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_Ominus__class_Ominus(tc_nat),A),C)),B).
% 261.78/261.87  >>>> Starting back demodulation with 541.
% 261.78/261.87  >>>> Starting back demodulation with 543.
% 261.78/261.87  >>>> Starting back demodulation with 545.
% 261.78/261.87      >> back demodulating 290 with 545.
% 261.78/261.87    Following clause subsumed by 546 during input processing: 0 [copy,546,flip.1] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),C)),B).
% 261.78/261.87  ** KEPT (pick-wt=23): 668 [copy,548,flip.1] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C))=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C).
% 261.78/261.87  ** KEPT (pick-wt=14): 669 [copy,549,flip.1] c_HOL_Ozero__class_Ozero(tc_nat)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)).
% 261.78/261.87    Following clause subsumed by 550 during input processing: 0 [copy,550,flip.1] 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)).
% 261.78/261.87  >>>> Starting back demodulation with 552.
% 261.78/261.87  ** KEPT (pick-wt=20): 670 [copy,555,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A))=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,B)),A).
% 261.78/261.87  >>>> Starting back demodulation with 557.
% 261.78/261.87  >>>> Starting back demodulation with 562.
% 261.78/261.87  >>>> Starting back demodulation with 566.
% 261.78/261.87  >>>> Starting back demodulation with 568.
% 261.78/261.87  >>>> Starting back demodulation with 570.
% 261.78/261.87  >>>> Starting back demodulation with 572.
% 261.78/261.87      >> back demodulating 561 with 572.
% 261.78/261.87  >>>> Starting back demodulation with 576.
% 261.78/261.87      >> back demodulating 571 with 576.
% 261.78/261.87    Following clause subsumed by 577 during input processing: 0 [copy,577,flip.1] hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),A).
% 261.78/261.87  >>>> Starting back demodulation with 579.
% 261.78/261.87  >>>> Starting back demodulation with 583.
% 261.78/261.87  >>>> Starting back demodulation with 586.
% 261.78/261.87  >>>> Starting back demodulation with 588.
% 261.78/261.87      >> back demodulating 510 with 588.
% 261.78/261.87      >> back demodulating 480 with 588.
% 261.78/261.87  >>>> Starting back demodulation with 590.
% 261.78/261.87      >> back demodulating 509 with 590.
% 261.78/261.87      >> back demodulating 479 with 590.
% 261.78/261.87      >> back demodulating 477 with 590.
% 261.78/261.87  >>>> Starting back demodulation with 592.
% 261.78/261.87    Following clause subsumed by 593 during input processing: 0 [copy,593,flip.1] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)=hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),A).
% 262.90/262.90  >>>> Starting back demodulation with 595.
% 262.90/262.90  ** KEPT (pick-wt=16): 674 [copy,596,flip.1] hAPP(hAPP(A,B),C)=hAPP(hAPP(hAPP(c_COMBC(D,E,F),A),C),B).
% 262.90/262.90  ** KEPT (pick-wt=18): 675 [copy,597,flip.1] hAPP(hAPP(A,B),hAPP(C,B))=hAPP(hAPP(hAPP(c_COMBS(D,E,F),A),C),B).
% 262.90/262.90    Following clause subsumed by 517 during input processing: 0 [copy,665,flip.1] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),A)=c_HOL_Ozero__class_Ozero(tc_nat).
% 262.90/262.90    Following clause subsumed by 529 during input processing: 0 [copy,666,flip.1] 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)).
% 262.90/262.90    Following clause subsumed by 538 during input processing: 0 [copy,667,flip.1] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),C)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),B),C)).
% 262.90/262.90    Following clause subsumed by 548 during input processing: 0 [copy,668,flip.1] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),B)),C)=hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),C)).
% 262.90/262.90    Following clause subsumed by 549 during input processing: 0 [copy,669,flip.1] hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),A),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),A),B))=c_HOL_Ozero__class_Ozero(tc_nat).
% 262.90/262.90    Following clause subsumed by 555 during input processing: 0 [copy,670,flip.1] hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),hAPP(c_Suc,A)),B)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),B),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),A),B)).
% 262.90/262.90  >>>> Starting back demodulation with 672.
% 262.90/262.90    Following clause subsumed by 596 during input processing: 0 [copy,674,flip.1] hAPP(hAPP(hAPP(c_COMBC(A,B,C),D),E),F)=hAPP(hAPP(D,F),E).
% 262.90/262.90    Following clause subsumed by 597 during input processing: 0 [copy,675,flip.1] hAPP(hAPP(hAPP(c_COMBS(A,B,C),D),E),F)=hAPP(hAPP(D,F),hAPP(E,F)).
% 262.90/262.90  
% 262.90/262.90  ======= end of input processing =======
% 262.90/262.90  
% 262.90/262.90  =========== start of search ===========
% 262.90/262.90  
% 262.90/262.90  
% 262.90/262.90  Resetting weight limit to 2.
% 262.90/262.90  
% 262.90/262.90  
% 262.90/262.90  Resetting weight limit to 2.
% 262.90/262.90  
% 262.90/262.90  sos_size=122
% 262.90/262.90  
% 262.90/262.90  Search stopped because sos empty.
% 262.90/262.90  
% 262.90/262.90  
% 262.90/262.90  Search stopped because sos empty.
% 262.90/262.90  
% 262.90/262.90  ============ end of search ============
% 262.90/262.90  
% 262.90/262.90  -------------- statistics -------------
% 262.90/262.90  clauses given                123
% 262.90/262.90  clauses generated          81749
% 262.90/262.90  clauses kept                 612
% 262.90/262.90  clauses forward subsumed     131
% 262.90/262.90  clauses back subsumed         10
% 262.90/262.90  Kbytes malloced            11718
% 262.90/262.90  
% 262.90/262.90  ----------- times (seconds) -----------
% 262.90/262.90  user CPU time          1.14          (0 hr, 0 min, 1 sec)
% 262.90/262.90  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 262.90/262.90  wall-clock time      263             (0 hr, 4 min, 23 sec)
% 262.90/262.90  
% 262.90/262.90  Process 1151 finished Wed Jul 27 06:29:13 2022
% 262.90/262.91  Otter interrupted
% 262.90/262.91  PROOF NOT FOUND
%------------------------------------------------------------------------------