TSTP Solution File: SWW212+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWW212+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.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 13:22:09 EDT 2022
% Result : Unknown 14.26s 14.20s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW212+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 03:14:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 14.14/14.11 ----- Otter 3.3f, August 2004 -----
% 14.14/14.11 The process was started by sandbox2 on n029.cluster.edu,
% 14.14/14.11 Wed Jul 27 03:14:29 2022
% 14.14/14.11 The command was "./otter". The process ID is 19168.
% 14.14/14.11
% 14.14/14.11 set(prolog_style_variables).
% 14.14/14.11 set(auto).
% 14.14/14.11 dependent: set(auto1).
% 14.14/14.11 dependent: set(process_input).
% 14.14/14.11 dependent: clear(print_kept).
% 14.14/14.11 dependent: clear(print_new_demod).
% 14.14/14.11 dependent: clear(print_back_demod).
% 14.14/14.11 dependent: clear(print_back_sub).
% 14.14/14.11 dependent: set(control_memory).
% 14.14/14.11 dependent: assign(max_mem, 12000).
% 14.14/14.11 dependent: assign(pick_given_ratio, 4).
% 14.14/14.11 dependent: assign(stats_level, 1).
% 14.14/14.11 dependent: assign(max_seconds, 10800).
% 14.14/14.11 clear(print_given).
% 14.14/14.11
% 14.14/14.11 formula_list(usable).
% 14.14/14.11 all A (A=A).
% 14.14/14.11 all V_gb_2 V_fa_2 ((all B_x (hAPP(V_fa_2,B_x)=hAPP(V_gb_2,B_x)))->V_fa_2=V_gb_2).
% 14.14/14.11 c_SEQ_Osubse_q(v_ga____).
% 14.14/14.11 c_SEQ_Osubse_q(v_f____).
% 14.14/14.11 all V_xa_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_xa_2))<->V_xa_2!=c_Groups_Ozero__class_Ozero(T_a))).
% 14.14/14.11 all V_x T_a (class_RealVector_Oreal__normed__vector(T_a)-> -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 14.14/14.11 all T_a (class_RealVector_Oreal__normed__vector(T_a)->hAPP(c_RealVector_Onorm__class_Onorm(T_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.14/14.11 all V_xa_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_xa_2)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)<->V_xa_2=c_Groups_Ozero__class_Ozero(T_a))).
% 14.14/14.11 all V_b_2 V_a_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)<->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a)))).
% 14.14/14.11 all V_b_2 V_a_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2)<->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a)))).
% 14.14/14.11 all B_n c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(v_s,B_n)),v_r).
% 14.14/14.11 all V_x T_a (class_Orderings_Opreorder(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_x)).
% 14.14/14.11 all V_n_2 V_fa_2 (c_SEQ_Osubse_q(V_fa_2)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n_2,hAPP(V_fa_2,V_n_2))).
% 14.14/14.11 all V_b V_a T_a (class_RealVector_Oreal__normed__vector(T_a)->hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b))=hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a))).
% 14.14/14.11 all V_d_2 V_c_2 V_b_2 V_a_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c_2),V_d_2)-> (c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)<->c_Orderings_Oord__class_Oless(T_a,V_c_2,V_d_2)))).
% 14.14/14.11 all V_d_2 V_c_2 V_b_2 V_a_2 T_a (class_Groups_Oordered__ab__group__add(T_a)-> (hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c_2),V_d_2)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2)<->c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2,V_d_2)))).
% 14.14/14.11 c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r).
% 14.14/14.11 c_SEQ_Osubse_q(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)).
% 14.14/14.11 c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),v_r).
% 14.14/14.11 all V_fa_2 (c_SEQ_Osubse_q(V_fa_2)<-> (all B_m B_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,B_n)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(V_fa_2,B_m),hAPP(V_fa_2,B_n))))).
% 14.14/14.11 all V_b V_a T_a (class_RealVector_Oreal__normed__vector(T_a)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_b)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)))).
% 14.14/14.11 all V_x T_a (class_RealVector_Oreal__normed__vector(T_a)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x))).
% 14.14/14.11 all V_xa_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_xa_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))<->V_xa_2=c_Groups_Ozero__class_Ozero(T_a))).
% 14.14/14.11 all V_xa_2 T_a (class_Groups_Ozero(T_a)-> (c_Groups_Ozero__class_Ozero(T_a)=V_xa_2<->V_xa_2=c_Groups_Ozero__class_Ozero(T_a))).
% 14.14/14.11 all V_y V_x T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)->c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x))).
% 14.14/14.11 all V_xa_2 V_gb_2 V_fa_2 T_a T_b (class_Orderings_Oord(T_b)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_fa_2,V_gb_2)->c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_fa_2,V_xa_2),hAPP(V_gb_2,V_xa_2)))).
% 14.14/14.11 all V_z V_x V_y T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_z,V_y)->c_Orderings_Oord__class_Oless__e_q(T_a,V_z,V_x)))).
% 14.14/14.11 all V_x V_y T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)->V_x=V_y))).
% 14.14/14.11 all V_z V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_z)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_z)))).
% 14.14/14.11 all V_y V_x T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)->V_x=V_y))).
% 14.14/14.11 all V_c V_a V_b T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)-> (V_b=V_c->c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_a)))).
% 14.14/14.11 all V_c V_b V_a T_a (class_Orderings_Oord(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)-> (V_b=V_c->c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_c)))).
% 14.14/14.11 all V_c V_b V_a T_a (class_Orderings_Oorder(T_a)-> (V_a=V_b-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_b)->c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_a)))).
% 14.14/14.11 all V_c V_b V_a T_a (class_Orderings_Oord(T_a)-> (V_a=V_b-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_c)->c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_c)))).
% 14.14/14.11 all V_xa_2 V_ya_2 T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)<->V_xa_2=V_ya_2))).
% 14.14/14.11 all V_xa_2 V_gb_2 V_fa_2 T_a T_b (class_Orderings_Oord(T_b)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_fa_2,V_gb_2)->c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_fa_2,V_xa_2),hAPP(V_gb_2,V_xa_2)))).
% 14.14/14.11 all V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (V_x=V_y->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y))).
% 14.14/14.11 all V_ya_2 V_xa_2 T_a (class_Orderings_Oorder(T_a)-> (V_xa_2=V_ya_2<->c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)&c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2))).
% 14.14/14.11 all V_y V_x T_a (class_Orderings_Olinorder(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)).
% 14.14/14.11 all V_gb_2 V_fa_2 T_a T_b (class_Orderings_Oord(T_b)-> (c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_fa_2,V_gb_2)<-> (all B_x c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_fa_2,B_x),hAPP(V_gb_2,B_x))))).
% 14.14/14.11 all V_y V_x T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_x,V_y)-> (V_x!=V_y->c_Orderings_Oord__class_Oless(T_a,V_y,V_x)))).
% 14.14/14.11 all V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)-> -c_Orderings_Oord__class_Oless(T_a,V_y,V_x))).
% 14.14/14.11 all V_z V_x V_y T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_y,V_x)-> (c_Orderings_Oord__class_Oless(T_a,V_z,V_y)->c_Orderings_Oord__class_Oless(T_a,V_z,V_x)))).
% 14.14/14.11 all V_z V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)-> (c_Orderings_Oord__class_Oless(T_a,V_y,V_z)->c_Orderings_Oord__class_Oless(T_a,V_x,V_z)))).
% 14.14/14.11 all V_c V_a V_b T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_a)-> (V_b=V_c->c_Orderings_Oord__class_Oless(T_a,V_c,V_a)))).
% 14.14/14.11 all V_c V_b V_a T_a (class_Orderings_Oord(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (V_b=V_c->c_Orderings_Oord__class_Oless(T_a,V_a,V_c)))).
% 14.14/14.11 all V_c V_b V_a T_a (class_Orderings_Oorder(T_a)-> (V_a=V_b-> (c_Orderings_Oord__class_Oless(T_a,V_c,V_b)->c_Orderings_Oord__class_Oless(T_a,V_c,V_a)))).
% 14.14/14.11 all V_c V_b V_a T_a (class_Orderings_Oord(T_a)-> (V_a=V_b-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_c)->c_Orderings_Oord__class_Oless(T_a,V_a,V_c)))).
% 14.14/14.11 all V_a V_b T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_a)-> -c_Orderings_Oord__class_Oless(T_a,V_a,V_b))).
% 14.14/14.11 all V_b V_a T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> -c_Orderings_Oord__class_Oless(T_a,V_b,V_a))).
% 14.14/14.11 all V_y V_x T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)->V_y!=V_x)).
% 14.14/14.11 all V_y V_x T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)->V_x!=V_y)).
% 14.14/14.11 all V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)-> -c_Orderings_Oord__class_Oless(T_a,V_y,V_x))).
% 14.14/14.11 all V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)-> -c_Orderings_Oord__class_Oless(T_a,V_y,V_x))).
% 14.14/14.11 all V_y V_x T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)->V_x!=V_y)).
% 14.14/14.11 all V_y V_x T_a (class_Orderings_Olinorder(T_a)-> (V_x!=V_y-> (-c_Orderings_Oord__class_Oless(T_a,V_x,V_y)->c_Orderings_Oord__class_Oless(T_a,V_y,V_x)))).
% 14.14/14.11 all V_xa_2 V_ya_2 T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2)-> (-c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)<->V_xa_2=V_ya_2))).
% 14.14/14.11 all V_y V_x T_a (class_Orderings_Olinorder(T_a)->c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x=V_y|c_Orderings_Oord__class_Oless(T_a,V_y,V_x)).
% 14.14/14.11 all V_ya_2 V_xa_2 T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)<->c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2)|V_xa_2=V_ya_2)).
% 14.14/14.11 all V_ya_2 V_xa_2 T_a (class_Orderings_Olinorder(T_a)-> (V_xa_2!=V_ya_2<->c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2))).
% 14.14/14.11 all V_x T_a (class_Orderings_Opreorder(T_a)-> -c_Orderings_Oord__class_Oless(T_a,V_x,V_x)).
% 14.14/14.11 all V_d_2 V_c_2 V_b_2 V_a_2 T_a (class_Groups_Oab__group__add(T_a)-> (hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c_2),V_d_2)-> (V_a_2=V_b_2<->V_c_2=V_d_2))).
% 14.14/14.11 all V_z V_x V_y T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)-> (c_Orderings_Oord__class_Oless(T_a,V_z,V_y)->c_Orderings_Oord__class_Oless(T_a,V_z,V_x)))).
% 14.14/14.11 all V_z V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)-> (c_Orderings_Oord__class_Oless(T_a,V_y,V_z)->c_Orderings_Oord__class_Oless(T_a,V_x,V_z)))).
% 14.14/14.11 all V_z V_x V_y T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_y,V_x)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_z,V_y)->c_Orderings_Oord__class_Oless(T_a,V_z,V_x)))).
% 14.14/14.11 all V_z V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_z)->c_Orderings_Oord__class_Oless(T_a,V_x,V_z)))).
% 14.14/14.11 all V_a V_b T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)-> (V_a!=V_b->c_Orderings_Oord__class_Oless(T_a,V_b,V_a)))).
% 14.14/14.11 all V_b V_a T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)-> (V_a!=V_b->c_Orderings_Oord__class_Oless(T_a,V_a,V_b)))).
% 14.14/14.11 all V_y V_x T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)->c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x=V_y)).
% 14.14/14.11 all V_ya_2 V_xa_2 T_a (class_Orderings_Olinorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)-> (-c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)<->V_xa_2=V_ya_2))).
% 14.14/14.11 all V_y V_x T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y))).
% 14.14/14.11 all V_x V_y T_a (class_Orderings_Olinorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)-> -c_Orderings_Oord__class_Oless(T_a,V_x,V_y))).
% 14.14/14.11 all V_b V_a T_a (class_Orderings_Oorder(T_a)-> (V_a!=V_b-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)->c_Orderings_Oord__class_Oless(T_a,V_b,V_a)))).
% 14.14/14.11 all V_b V_a T_a (class_Orderings_Oorder(T_a)-> (V_a!=V_b-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)->c_Orderings_Oord__class_Oless(T_a,V_a,V_b)))).
% 14.14/14.11 all V_ya_2 V_xa_2 T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)<->V_xa_2=V_ya_2))).
% 14.14/14.11 all V_x V_y T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)->c_Orderings_Oord__class_Oless(T_a,V_x,V_y))).
% 14.14/14.11 all V_y V_x T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_x,V_y)->c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x))).
% 14.14/14.11 all V_ya_2 V_xa_2 T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)<->c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|V_xa_2=V_ya_2)).
% 14.14/14.11 all V_ya_2 V_xa_2 T_a (class_Orderings_Opreorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)<->c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)& -c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2))).
% 14.14/14.11 all V_ya_2 V_xa_2 T_a (class_Orderings_Oorder(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)<->c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)&V_xa_2!=V_ya_2)).
% 14.14/14.11 all V_y V_x T_a (class_Orderings_Olinorder(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless(T_a,V_y,V_x)).
% 14.14/14.11 all V_ya_2 V_xa_2 T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)<->c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2))).
% 14.14/14.11 all V_ya_2 V_xa_2 T_a (class_Orderings_Olinorder(T_a)-> (-c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)<->c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2))).
% 14.14/14.11 all V_b_2 V_a_2 T_a (class_Groups_Ogroup__add(T_a)-> (hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)=c_Groups_Ozero__class_Ozero(T_a)<->V_a_2=V_b_2)).
% 14.14/14.11 all V_b_2 V_a_2 T_a (class_Groups_Oab__group__add(T_a)-> (V_a_2=V_b_2<->hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)=c_Groups_Ozero__class_Ozero(T_a))).
% 14.14/14.11 all V_a T_a (class_Groups_Ogroup__add(T_a)->hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a)=c_Groups_Ozero__class_Ozero(T_a)).
% 14.14/14.11 all V_a T_a (class_Groups_Ogroup__add(T_a)->hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=V_a).
% 14.14/14.11 all V_n c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n).
% 14.14/14.11 all V_ya_2 V_xa_2 (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_ya_2)<->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_ya_2)|V_xa_2=V_ya_2).
% 14.14/14.11 all V_ya_2 V_xa_2 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_ya_2)<->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_ya_2)&V_xa_2!=V_ya_2).
% 14.14/14.11 all V_ya_2 V_xa_2 (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_ya_2)<->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),V_xa_2),V_ya_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 14.14/14.11 all V_X_2 T_a (class_Orderings_Oorder(T_a)-> (c_SEQ_Odecse_q(T_a,V_X_2)<-> (all B_m B_n (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_m,B_n)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(V_X_2,B_n),hAPP(V_X_2,B_m)))))).
% 14.14/14.11 all V_X_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_SEQ_OBse_q(T_a,V_X_2)<-> (exists B_K (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)& (all B_n c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(V_X_2,B_n)),B_K)))))).
% 14.14/14.11 all V_X_2 T_a (class_Orderings_Oorder(T_a)-> (c_SEQ_Oincse_q(T_a,V_X_2)<-> (all B_m B_n (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_m,B_n)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(V_X_2,B_m),hAPP(V_X_2,B_n)))))).
% 14.14/14.11 all V_e_2 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_e_2)-> (exists B_N all B_n (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_N,B_n)->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),B_n))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),V_e_2)))).
% 14.14/14.11 all V_X_2 T_a (class_Orderings_Oorder(T_a)-> (c_SEQ_Omonose_q(T_a,V_X_2)<-> (all B_m B_n (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_m,B_n)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(V_X_2,B_m),hAPP(V_X_2,B_n))))| (all B_m B_n (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_m,B_n)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(V_X_2,B_n),hAPP(V_X_2,B_m)))))).
% 14.14/14.11 all V_n_2 V_m_2 (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)<->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2)).
% 14.14/14.11 all V_n V_m (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)->hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.14/14.11 all V_c V_b V_a (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a,V_b)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_c,V_a)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a),V_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_b),V_c)))).
% 14.14/14.11 all V_n (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 14.14/14.11 all V_n (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 14.14/14.11 all V_n (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n)).
% 14.14/14.11 all V_n_2 (V_n_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)).
% 14.14/14.11 all V_n_2 V_m_2 (V_m_2!=V_n_2<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)).
% 14.14/14.11 all V_n (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.14/14.11 all V_m_2 V_n_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_m_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)).
% 14.14/14.11 all V_n (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 14.14/14.11 all V_m (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=V_m).
% 14.14/14.11 all V_m (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.14/14.11 all V_gb_2 V_fa_2 T_a T_b (class_Orderings_Oord(T_b)-> (c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_fa_2,V_gb_2)<->c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_fa_2,V_gb_2)& -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_gb_2,V_fa_2))).
% 14.14/14.11 all V_k V_j V_i (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_k)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_k)),V_j)).
% 14.14/14.11 all V_X_2 T_a (class_Orderings_Oorder(T_a)-> (c_SEQ_Odecse_q(T_a,V_X_2)->c_SEQ_Omonose_q(T_a,V_X_2))).
% 14.14/14.11 all V_X_2 T_a (class_Orderings_Oorder(T_a)-> (c_SEQ_Oincse_q(T_a,V_X_2)->c_SEQ_Omonose_q(T_a,V_X_2))).
% 14.14/14.11 all V_y V_x (V_x!=V_y-> (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_y,V_x))).
% 14.14/14.11 all V_m V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_m))).
% 14.14/14.11 all V_n (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n)).
% 14.14/14.11 all V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)->V_n!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.14/14.11 all V_m V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)->V_m!=V_n).
% 14.14/14.11 all V_t V_s (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s,V_t)->V_s!=V_t).
% 14.14/14.11 all V_n V_k V_j (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_n),V_k)).
% 14.14/14.11 all V_l V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_l)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m)))).
% 14.14/14.11 all V_n V_m (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)-> (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->V_m=V_n)).
% 14.14/14.11 all V_n (V_n!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)).
% 14.14/14.11 all V_P_2 V_n_2 V_m_2 ((c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)->hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)))-> ((V_m_2=V_n_2->hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)))-> ((c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)->hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)))->hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2))))).
% 14.14/14.11 all V_w V_z (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_z,V_w)-> (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_w,V_z)->V_z=V_w)).
% 14.14/14.11 all V_k V_j V_i (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_i,V_j)-> (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_j,V_k)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_i,V_k))).
% 14.14/14.11 all V_w V_z (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_z,V_w)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_w,V_z)).
% 14.14/14.11 all V_w c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_w,V_w).
% 14.14/14.11 all V_n c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_n).
% 14.14/14.11 all V_n V_m (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_m)).
% 14.14/14.11 all V_n V_m (V_m=V_n->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)).
% 14.14/14.11 all V_k V_j V_i (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_j)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j,V_k)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_k))).
% 14.14/14.11 all V_n V_m (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_m)->V_m=V_n)).
% 14.14/14.11 all V_n c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n).
% 14.14/14.11 all V_n_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))<->V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.14/14.11 all V_n_2 V_m_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)<->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2)&V_m_2!=V_n_2).
% 14.14/14.11 all V_n_2 V_m_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2)<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)|V_m_2=V_n_2).
% 14.14/14.11 all V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)).
% 14.14/14.11 all V_n V_m (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)-> (V_m!=V_n->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n))).
% 14.14/14.11 all V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|V_m=V_n->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)).
% 14.14/14.11 all V_n V_m c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_m).
% 14.14/14.11 all V_l V_n V_m (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m))).
% 14.14/14.11 all V_l V_n V_m (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_l),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_l))).
% 14.14/14.11 all V_n V_i (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_n)->hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_i))=V_i).
% 14.14/14.11 all V_n_2 V_m_2 V_k_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_m_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_n_2)-> (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2)<->V_m_2=V_n_2))).
% 14.14/14.11 all V_n V_m V_k (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_m)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_n)->hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_k))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))).
% 14.14/14.11 all V_n_2 V_m_2 V_k_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_m_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_n_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2))<->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2)))).
% 14.14/14.11 all V_n_2 V_m_2 V_k_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_m_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_n_2)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)))).
% 14.14/14.11 all V_d V_c V_b V_a (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_a),V_b)),hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_c),V_d))=hAPP(hAPP(c_Complex_Ocomplex_OComplex,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),V_a),V_c)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),V_b),V_d))).
% 14.14/14.11 all V_b_2 V_a_2 (hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_a_2),V_b_2)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)<->V_a_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)&V_b_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.14/14.11 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=hAPP(hAPP(c_Complex_Ocomplex_OComplex,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.14/14.11 all V_y V_x (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x,V_y)).
% 14.14/14.11 all V_X_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_SEQ_OBse_q(T_a,V_X_2)-> (exists B_K (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)& (all B_n c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(V_X_2,B_n)),B_K)))))).
% 14.14/14.11 all V_X_2 V_K_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_K_2)-> ((all B_n c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(V_X_2,B_n)),V_K_2))->c_SEQ_OBse_q(T_a,V_X_2)))).
% 14.14/14.11 all V_K_2 V_X_2 V_N_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> ((all B_n (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_N_2,B_n)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(V_X_2,B_n)),V_K_2)))->c_SEQ_OBse_q(T_a,V_X_2))).
% 14.14/14.11 all B_r (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_r)-> (exists B_n0 all B_n (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_n0,B_n)->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,B_n))))),v_y____)),B_r)))).
% 14.14/14.11 all V_p_2 T_a (class_Groups_Ozero(T_a)-> (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(T_a,V_p_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)<->V_p_2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))).
% 14.14/14.11 all V_real2 V_real1 (c_Complex_Ocomplex_Ocomplex__size(hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_real1),V_real2))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.14/14.11 hAPP(c_Complex_OIm,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.14/14.11 all V_a T_a (class_Groups_Oordered__ab__group__add__abs(T_a)->hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))=hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)).
% 14.14/14.11 all V_r (hAPP(c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal),V_r)=hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_r)).
% 14.14/14.11 all V_y V_x (hAPP(c_Complex_OIm,hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_x),V_y))=V_y).
% 14.14/14.11 all V_x c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)),hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),V_x)).
% 14.14/14.11 all V_a_2 T_a (class_Groups_Oordered__ab__group__add__abs(T_a)-> (hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)=c_Groups_Ozero__class_Ozero(T_a)<->V_a_2=c_Groups_Ozero__class_Ozero(T_a))).
% 14.14/14.11 all T_a (class_Groups_Oordered__ab__group__add__abs(T_a)->hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a)).
% 14.14/14.11 all V_b V_a T_a (class_Groups_Oordered__ab__group__add__abs(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a),V_b)->c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b))).
% 14.14/14.11 all V_a T_a (class_Groups_Oordered__ab__group__add__abs(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))).
% 14.14/14.11 all V_b V_a T_a (class_Groups_Oordered__ab__group__add__abs(T_a)->hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b))=hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a))).
% 14.14/14.11 all V_a T_a (class_RealVector_Oreal__normed__vector(T_a)->hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a))=hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a)).
% 14.14/14.11 all V_y V_x (hAPP(c_Complex_OIm,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),V_x),V_y))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)),hAPP(c_Complex_OIm,V_y))).
% 14.14/14.11 all V_a T_a (class_Groups_Oordered__ab__group__add__abs(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)->hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)=V_a)).
% 14.14/14.11 all V_a_2 T_a (class_Groups_Oordered__ab__group__add__abs(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))<->V_a_2=c_Groups_Ozero__class_Ozero(T_a))).
% 14.14/14.11 all V_a T_a (class_Groups_Oordered__ab__group__add__abs(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))).
% 14.14/14.11 all V_a T_a (class_Groups_Oordered__ab__group__add__abs(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)->hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)=V_a)).
% 14.14/14.11 all V_a_2 T_a (class_Groups_Oordered__ab__group__add__abs(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2))<->V_a_2!=c_Groups_Ozero__class_Ozero(T_a))).
% 14.14/14.11 all V_a T_a (class_Groups_Oordered__ab__group__add__abs(T_a)-> -c_Orderings_Oord__class_Oless(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))).
% 14.14/14.11 all V_b V_a T_a (class_Groups_Oordered__ab__group__add__abs(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a)))).
% 14.14/14.11 all V_b V_a T_a (class_Groups_Oordered__ab__group__add__abs(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)))).
% 14.14/14.11 all V_b V_a T_a (class_Groups_Oordered__ab__group__add__abs(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)))).
% 14.14/14.11 all T_e T_d T_c T_a T_b V_x_H_2 V_g_H_2 V_f_H_2 V_xa_2 V_gb_2 V_fa_2 (hAPP(V_fa_2,hAPP(V_gb_2,V_xa_2))=hAPP(V_f_H_2,hAPP(V_g_H_2,V_x_H_2))->hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_fa_2,V_gb_2),V_xa_2)=hAPP(c_Fun_Ocomp(T_d,T_a,T_e,V_f_H_2,V_g_H_2),V_x_H_2)).
% 14.14/14.11 all V_real2_H_2 V_real1_H_2 V_real2_2 V_real1_2 (hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_real1_2),V_real2_2)=hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_real1_H_2),V_real2_H_2)<->V_real1_2=V_real1_H_2&V_real2_2=V_real2_H_2).
% 14.14/14.11 all V_b V_a T_a (class_RealVector_Oreal__normed__vector(T_a)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_b))),hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)))).
% 14.14/14.11 all V_real2 V_real1 (c_Nat_Osize__class_Osize(tc_Complex_Ocomplex,hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_real1),V_real2))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.14/14.11 all B_r (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_r)-> (exists B_n0 all B_n (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_n0,B_n)->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,hAPP(v_s,hAPP(v_f____,B_n)))),v_x____)),B_r)))).
% 14.14/14.11 all V_real2_2 V_real1_2 V_f1_2 T_a (c_Complex_Ocomplex_Ocomplex__rec(T_a,V_f1_2,hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_real1_2),V_real2_2))=hAPP(hAPP(V_f1_2,V_real1_2),V_real2_2)).
% 14.14/14.11 all V_real2_2 V_real1_2 V_f1_2 T_a (c_Complex_Ocomplex_Ocomplex__case(T_a,V_f1_2,hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_real1_2),V_real2_2))=hAPP(hAPP(V_f1_2,V_real1_2),V_real2_2)).
% 14.14/14.11 c_SEQ_Omonose_q(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))).
% 14.14/14.11 all B_n c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(c_Complex_OIm,hAPP(v_s,B_n))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 14.14/14.11 all V_b V_x V_a (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,V_x)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_b)-> (exists B_d (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_d)& (all B_y (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),V_x),B_y)),B_d)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_a,B_y)&c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B_y,V_b))))))).
% 14.14/14.11 all V_K_2 V_X_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> ((all B_n c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(V_X_2,B_n)),V_K_2))->c_SEQ_OBse_q(T_a,V_X_2))).
% 14.14/14.11 c_SEQ_Omonose_q(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____))).
% 14.14/14.11 all V_d V_b V_c V_a T_a (class_Groups_Oab__group__add(T_a)->hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c),V_d))).
% 14.14/14.11 all V_xa_2 T_a (class_Groups_Oone(T_a)-> (c_Groups_Oone__class_Oone(T_a)=V_xa_2<->V_xa_2=c_Groups_Oone__class_Oone(T_a))).
% 14.14/14.11 all V_c V_b V_a T_a (class_Groups_Oab__semigroup__add(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))).
% 14.14/14.11 all V_c_2 V_b_2 V_a_2 T_a (class_Groups_Ocancel__semigroup__add(T_a)-> (hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_c_2)<->V_b_2=V_c_2)).
% 14.14/14.11 all V_c_2 V_a_2 V_b_2 T_a (class_Groups_Ocancel__semigroup__add(T_a)-> (hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_a_2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c_2),V_a_2)<->V_b_2=V_c_2)).
% 14.14/14.11 all V_c V_b V_a T_a (class_Groups_Ocancel__semigroup__add(T_a)-> (hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)->V_b=V_c)).
% 14.14/14.11 all V_c V_b V_a T_a (class_Groups_Ocancel__ab__semigroup__add(T_a)-> (hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)->V_b=V_c)).
% 14.14/14.11 all V_c V_a V_b T_a (class_Groups_Ocancel__semigroup__add(T_a)-> (hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)->V_b=V_c)).
% 14.14/14.11 all T_a (class_RealVector_Oreal__normed__algebra__1(T_a)->hAPP(c_RealVector_Onorm__class_Onorm(T_a),c_Groups_Oone__class_Oone(T_a))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 14.14/14.11 all V_y V_x T_a (class_RealVector_Oreal__normed__vector(T_a)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_y)))).
% 14.14/14.11 all V_s V_y V_r V_x T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x),V_r)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_y),V_s)->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_r),V_s))))).
% 14.14/14.11 all V_x (-c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_x)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_x)).
% 14.14/14.11 all V_a T_a (class_Groups_Omonoid__add(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)=V_a).
% 14.14/14.11 all V_a T_a (class_Groups_Ocomm__monoid__add(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)=V_a).
% 14.14/14.11 all V_a_2 T_a (class_Groups_Olinordered__ab__group__add(T_a)-> (c_Groups_Ozero__class_Ozero(T_a)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)<->V_a_2=c_Groups_Ozero__class_Ozero(T_a))).
% 14.14/14.11 all V_a T_a (class_Groups_Omonoid__add(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=V_a).
% 14.14/14.11 all V_a T_a (class_Groups_Ocomm__monoid__add(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=V_a).
% 14.14/14.11 all V_b_2 V_c_2 V_a_2 T_a (class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_c_2))<->c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2))).
% 14.14/14.11 all V_b_2 V_a_2 V_c_2 T_a (class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c_2),V_b_2))<->c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2))).
% 14.14/14.11 all V_c V_b V_a T_a (class_Groups_Oordered__ab__semigroup__add(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)))).
% 14.14/14.11 all V_c V_b V_a T_a (class_Groups_Oordered__ab__semigroup__add(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b)))).
% 14.14/14.11 all V_d V_c V_b V_a T_a (class_Groups_Oordered__ab__semigroup__add(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_d)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))))).
% 14.14/14.11 all V_b V_c V_a T_a (class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))->c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b))).
% 14.14/14.11 all V_b V_a V_c T_a (class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))->c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b))).
% 14.14/14.11 all V_b_2 V_c_2 V_a_2 T_a (class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_c_2))<->c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2))).
% 14.14/14.11 all V_b_2 V_a_2 V_c_2 T_a (class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c_2),V_b_2))<->c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2))).
% 14.14/14.11 all V_c V_b V_a T_a (class_Groups_Oordered__cancel__ab__semigroup__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)))).
% 14.14/14.11 all V_c V_b V_a T_a (class_Groups_Oordered__cancel__ab__semigroup__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b)))).
% 14.14/14.11 all V_d V_c V_b V_a T_a (class_Groups_Oordered__cancel__ab__semigroup__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,V_c,V_d)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))))).
% 14.14/14.11 all V_b V_c V_a T_a (class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))->c_Orderings_Oord__class_Oless(T_a,V_a,V_b))).
% 14.14/14.11 all V_b V_a V_c T_a (class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))->c_Orderings_Oord__class_Oless(T_a,V_a,V_b))).
% 14.14/14.11 all V_b V_a T_a (class_Groups_Ogroup__add(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),V_b)=V_a).
% 14.14/14.11 all V_b V_a T_a (class_Groups_Ogroup__add(T_a)->hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_b)=V_a).
% 14.14/14.11 all V_y V_x (hAPP(c_Complex_ORe,V_x)=hAPP(c_Complex_ORe,V_y)-> (hAPP(c_Complex_OIm,V_x)=hAPP(c_Complex_OIm,V_y)->V_x=V_y)).
% 14.14/14.11 all V_ya_2 V_xa_2 (V_xa_2=V_ya_2<->hAPP(c_Complex_ORe,V_xa_2)=hAPP(c_Complex_ORe,V_ya_2)&hAPP(c_Complex_OIm,V_xa_2)=hAPP(c_Complex_OIm,V_ya_2)).
% 14.14/14.11 all V_y V_x (hAPP(c_Complex_ORe,hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_x),V_y))=V_x).
% 14.14/14.11 all V_z V_y V_x (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x,V_y)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_z),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_z),V_y))).
% 14.14/14.11 all V_b V_a T_a (class_Groups_Oordered__ab__group__add__abs(T_a)->hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))).
% 14.14/14.11 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 14.14/14.11 all V_d V_c V_b V_a T_a (class_RealVector_Oreal__normed__vector(T_a)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_c))),hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_d))))).
% 14.14/14.11 all V_x c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_x))).
% 14.14/14.11 all V_a_2 T_a (class_Groups_Olinordered__ab__group__add(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2))<->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2))).
% 14.14/14.11 all V_a_2 T_a (class_Groups_Olinordered__ab__group__add(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2),c_Groups_Ozero__class_Ozero(T_a))<->c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)))).
% 14.14/14.11 all V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))))).
% 14.14/14.11 all V_ya_2 V_xa_2 T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_xa_2)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ya_2)-> (hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_xa_2),V_ya_2)=c_Groups_Ozero__class_Ozero(T_a)<->V_xa_2=c_Groups_Ozero__class_Ozero(T_a)&V_ya_2=c_Groups_Ozero__class_Ozero(T_a))))).
% 14.14/14.11 all V_c V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_c)->c_Orderings_Oord__class_Oless__e_q(T_a,V_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))))).
% 14.14/14.11 all V_a V_b V_c T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))))).
% 14.14/14.11 all V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a))))).
% 14.14/14.11 all V_a_2 T_a (class_Groups_Olinordered__ab__group__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2))<->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2))).
% 14.14/14.11 all V_a_2 T_a (class_Groups_Olinordered__ab__group__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2),c_Groups_Ozero__class_Ozero(T_a))<->c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)))).
% 14.14/14.11 all V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))))).
% 14.14/14.11 all V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a))))).
% 14.14/14.11 all V_d V_c V_b V_a T_a (class_Groups_Oordered__cancel__ab__semigroup__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_d)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))))).
% 14.14/14.11 all V_d V_c V_b V_a T_a (class_Groups_Oordered__cancel__ab__semigroup__add(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,V_c,V_d)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))))).
% 14.14/14.11 all V_x c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_Complex_ORe,V_x),hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),V_x)).
% 14.14/14.11 all V_b V_a T_a (class_Groups_Oordered__ab__group__add__abs(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))).
% 14.14/14.11 all V_z (hAPP(hAPP(c_Complex_Ocomplex_OComplex,hAPP(c_Complex_ORe,V_z)),hAPP(c_Complex_OIm,V_z))=V_z).
% 14.14/14.11 hAPP(c_Complex_ORe,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.14/14.11 all V_y V_x (hAPP(c_Complex_ORe,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),V_x),V_y))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_Complex_ORe,V_y))).
% 14.14/14.11 all V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))))).
% 14.14/14.11 all V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))))).
% 14.14/14.11 all V_c V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_c)->c_Orderings_Oord__class_Oless(T_a,V_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))))).
% 14.14/14.11 all V_c V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_c)->c_Orderings_Oord__class_Oless(T_a,V_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))))).
% 14.14/14.11 all V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a))))).
% 14.14/14.11 all V_b V_a T_a (class_Groups_Oordered__comm__monoid__add(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a))))).
% 14.14/14.11 all V_x c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),V_x)).
% 14.14/14.11 all V_b V_a T_a (class_Groups_Oordered__ab__group__add__abs(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))).
% 14.14/14.11 all V_d V_c V_b V_a T_a (class_Groups_Oordered__ab__group__add__abs(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_c))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_d))))).
% 14.14/14.11 all V_b V_a T_a (class_RealVector_Oreal__normed__vector(T_a)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_b)))).
% 14.14/14.11 all V_y V_x c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),V_x),V_y)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_Complex_ORe,V_y)))),hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)),hAPP(c_Complex_OIm,V_y))))).
% 14.14/14.11 all V_b V_a T_a (class_RealVector_Oreal__normed__vector(T_a)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_b)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)))).
% 14.14/14.11 exists B_f (c_SEQ_Osubse_q(B_f)&c_SEQ_Omonose_q(tc_RealDef_Oreal,c_COMBB(tc_Nat_Onat,tc_RealDef_Oreal,tc_Nat_Onat,c_Fun_Ocomp(tc_Nat_Onat,tc_RealDef_Oreal,tc_Nat_Onat,c_Fun_Ocomp(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,v_s),v_f____),B_f))).
% 14.14/14.11 -(all B_g (c_SEQ_Osubse_q(B_g)-> -c_SEQ_Omonose_q(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,B_g)))))).
% 14.14/14.11 exists B_f (c_SEQ_Osubse_q(B_f)&c_SEQ_Omonose_q(tc_RealDef_Oreal,c_COMBB(tc_Nat_Onat,tc_RealDef_Oreal,tc_Nat_Onat,c_Fun_Ocomp(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,v_s),B_f))).
% 14.14/14.11 c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))).
% 14.14/14.11 c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____))).
% 14.14/14.11 all V_ra_2 V_a_2 V_xa_2 T_a (class_Rings_Olinordered__idom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_xa_2),V_a_2)),V_ra_2)<->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_ra_2),V_xa_2)&c_Orderings_Oord__class_Oless(T_a,V_xa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_ra_2)))).
% 14.14/14.11 all T_a (class_Rings_Olinordered__semidom(T_a)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)))).
% 14.14/14.11 c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),v_y____,c_Limits_Ose_quentially).
% 14.14/14.11 c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____)),v_x____,c_Limits_Ose_quentially).
% 14.14/14.11 all V_l_2 V_fa_2 (c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_fa_2,V_l_2,c_Limits_Ose_quentially)->c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_RealDef_Oreal,tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_fa_2),hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_l_2),c_Limits_Ose_quentially)).
% 14.14/14.11 all V_c_2 T_a (class_RealVector_Ometric__space(T_a)->c_SEQ_Oconvergent(T_a,c_COMBK(T_a,tc_Nat_Onat,V_c_2))).
% 14.14/14.11 all V_l_2 V_k_2 T_a (class_RealVector_Ometric__space(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBK(T_a,tc_Nat_Onat,V_k_2),V_l_2,c_Limits_Ose_quentially)<->V_k_2=V_l_2)).
% 14.14/14.11 all V_k_2 T_a (class_RealVector_Otopological__space(T_a)->c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBK(T_a,tc_Nat_Onat,V_k_2),V_k_2,c_Limits_Ose_quentially)).
% 14.14/14.11 all V_a_2 V_X_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)->c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(T_a,tc_RealDef_Oreal,tc_Nat_Onat,c_RealVector_Onorm__class_Onorm(T_a),V_X_2),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a_2),c_Limits_Ose_quentially))).
% 14.14/14.11 all V_k_2 V_a_2 V_fa_2 T_a (class_RealVector_Otopological__space(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_fa_2,V_a_2,c_Limits_Ose_quentially)->c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat,V_fa_2,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2)),V_a_2,c_Limits_Ose_quentially))).
% 14.14/14.11 all V_b_2 V_a_2 V_fa_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_fa_2,V_a_2,c_Limits_Ose_quentially)->c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBC(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(T_a),V_fa_2),V_b_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2),c_Limits_Ose_quentially))).
% 14.14/14.11 all V_b_2 V_Y_2 V_a_2 V_X_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_Y_2,V_b_2,c_Limits_Ose_quentially)->c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBS(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(T_a),V_X_2),V_Y_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2),c_Limits_Ose_quentially)))).
% 14.14/14.11 all V_a_2 V_k_2 V_fa_2 T_a (class_RealVector_Otopological__space(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat,V_fa_2,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2)),V_a_2,c_Limits_Ose_quentially)->c_Limits_Otendsto(tc_Nat_Onat,T_a,V_fa_2,V_a_2,c_Limits_Ose_quentially))).
% 14.14/14.11 all V_b_2 V_Y_2 V_a_2 V_X_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_Y_2,V_b_2,c_Limits_Ose_quentially)->c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBS(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Ominus__class_Ominus(T_a),V_X_2),V_Y_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2),c_Limits_Ose_quentially)))).
% 14.14/14.11 all V_b_2 V_a_2 V_fa_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_fa_2,V_a_2,c_Limits_Ose_quentially)->c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBC(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Ominus__class_Ominus(T_a),V_fa_2),V_b_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2),c_Limits_Ose_quentially))).
% 14.14/14.11 all V_n_2 V_L_2 V_X_2 (c_SEQ_Odecse_q(tc_RealDef_Oreal,V_X_2)-> (c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_X_2,V_L_2,c_Limits_Ose_quentially)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_L_2,hAPP(V_X_2,V_n_2)))).
% 14.14/14.11 all V_n_2 V_L_2 V_X_2 (c_SEQ_Oincse_q(tc_RealDef_Oreal,V_X_2)-> (c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_X_2,V_L_2,c_Limits_Ose_quentially)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(V_X_2,V_n_2),V_L_2))).
% 14.14/14.11 all V_b_2 V_a_2 V_X_2 T_a (class_RealVector_Ometric__space(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_b_2,c_Limits_Ose_quentially)->V_a_2=V_b_2))).
% 14.14/14.11 all V_L_2 V_X_2 T_a (class_RealVector_Ometric__space(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_L_2,c_Limits_Ose_quentially)->c_SEQ_Oconvergent(T_a,V_X_2))).
% 14.14/14.11 all V_X_2 T_a (class_RealVector_Ometric__space(T_a)-> (c_SEQ_Oconvergent(T_a,V_X_2)<-> (exists B_L c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,B_L,c_Limits_Ose_quentially)))).
% 14.14/14.11 all V_a_2 V_xa_2 V_X_2 (c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_X_2,V_xa_2,c_Limits_Ose_quentially)-> ((exists B_N all B_n (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_N,B_n)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_a_2,hAPP(V_X_2,B_n))))->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_a_2,V_xa_2))).
% 14.14/14.11 all V_a_2 V_xa_2 V_X_2 (c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_X_2,V_xa_2,c_Limits_Ose_quentially)-> ((exists B_N all B_n (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_N,B_n)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(V_X_2,B_n),V_a_2)))->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_a_2))).
% 14.14/14.11 all V_ya_2 V_Y_2 V_xa_2 V_X_2 (c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_X_2,V_xa_2,c_Limits_Ose_quentially)-> (c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_Y_2,V_ya_2,c_Limits_Ose_quentially)-> ((exists B_N all B_n (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_N,B_n)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(V_X_2,B_n),hAPP(V_Y_2,B_n))))->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_ya_2)))).
% 14.14/14.11 all V_X_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(T_a,tc_RealDef_Oreal,tc_Nat_Onat,c_RealVector_Onorm__class_Onorm(T_a),V_X_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially)<->c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,c_Groups_Ozero__class_Ozero(T_a),c_Limits_Ose_quentially))).
% 14.14/14.11 all V_fa_2 V_L_2 V_gb_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_gb_2,V_L_2,c_Limits_Ose_quentially)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBS(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Ominus__class_Ominus(T_a),V_fa_2),V_gb_2),c_Groups_Ozero__class_Ozero(T_a),c_Limits_Ose_quentially)->c_Limits_Otendsto(tc_Nat_Onat,T_a,V_fa_2,V_L_2,c_Limits_Ose_quentially)))).
% 14.14/14.11 all V_gb_2 V_L_2 V_fa_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_fa_2,V_L_2,c_Limits_Ose_quentially)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBS(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Ominus__class_Ominus(T_a),V_fa_2),V_gb_2),c_Groups_Ozero__class_Ozero(T_a),c_Limits_Ose_quentially)->c_Limits_Otendsto(tc_Nat_Onat,T_a,V_gb_2,V_L_2,c_Limits_Ose_quentially)))).
% 14.14/14.11 all V_fa_2 (c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_RealDef_Oreal,tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_fa_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially)<->c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_fa_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially)).
% 14.14/14.11 all V_n V_m (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)=V_m->V_n=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.11 all V_n_2 V_m_2 (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)<->V_m_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)&V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.11 all V_m (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=V_m).
% 14.26/14.11 all V_n (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)=V_n).
% 14.26/14.11 all V_y V_z V_x (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_z)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))).
% 14.26/14.11 all V_z V_y V_x (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))).
% 14.26/14.11 all V_k V_j V_i (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j),V_k)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_k)).
% 14.26/14.11 all V_n V_m V_l V_k (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)-> (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_l)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n))).
% 14.26/14.11 all V_l V_k V_j V_i (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l)))).
% 14.26/14.11 all V_k V_j V_i (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))).
% 14.26/14.11 all V_m V_j V_i (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j))).
% 14.26/14.11 all V_m V_j V_i (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m))).
% 14.26/14.11 all V_n_2 V_m_2 V_k_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)).
% 14.26/14.11 all V_i V_j (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i),V_i)).
% 14.26/14.11 all V_j V_i (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j),V_i)).
% 14.26/14.11 all V_y V_z V_x (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x,V_z)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))).
% 14.26/14.11 all V_z V_y V_x (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x,V_y)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))).
% 14.26/14.11 all V_n V_k V_m (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k),V_n)-> -(c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)-> -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_n))).
% 14.26/14.11 all V_n V_k V_m (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k),V_n)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)).
% 14.26/14.11 all V_n V_k V_m (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k),V_n)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_n)).
% 14.26/14.11 all V_l V_k V_j V_i (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_j)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_l)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l)))).
% 14.26/14.11 all V_k V_j V_i (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_j)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))).
% 14.26/14.11 all V_m V_j V_i (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_j)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j))).
% 14.26/14.11 all V_m V_j V_i (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_j)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m))).
% 14.26/14.11 all V_n_2 V_m_2 V_k_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2))<->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2)).
% 14.26/14.11 all V_n_2 V_m_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2)<-> (exists B_k (V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)))).
% 14.26/14.11 all V_m V_n c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)).
% 14.26/14.11 all V_m V_n c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)).
% 14.26/14.11 all V_n V_k V_m (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_k))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)).
% 14.26/14.11 all V_n V_m V_k (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)).
% 14.26/14.11 all V_k V_j V_i (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_k)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))).
% 14.26/14.11 all V_m V_n (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_n)=V_m).
% 14.26/14.11 all V_n V_m (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_n)=V_m).
% 14.26/14.11 all V_fa_2 V_L_2 V_X_2 T_a (class_RealVector_Otopological__space(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_L_2,c_Limits_Ose_quentially)-> (c_SEQ_Osubse_q(V_fa_2)->c_Limits_Otendsto(tc_Nat_Onat,T_a,c_Fun_Ocomp(tc_Nat_Onat,T_a,tc_Nat_Onat,V_X_2,V_fa_2),V_L_2,c_Limits_Ose_quentially)))).
% 14.26/14.11 all V_xa_2 V_a_2 (c_SEQ_Omonose_q(tc_RealDef_Oreal,V_a_2)-> (c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_a_2,V_xa_2,c_Limits_Ose_quentially)-> (all B_n c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(V_a_2,B_n),V_xa_2))& (all B_m B_n (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_m,B_n)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(V_a_2,B_m),hAPP(V_a_2,B_n))))| (all B_n c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,hAPP(V_a_2,B_n)))& (all B_m B_n (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_m,B_n)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(V_a_2,B_n),hAPP(V_a_2,B_m)))))).
% 14.26/14.11 all V_X_2 (c_SEQ_OBse_q(tc_RealDef_Oreal,V_X_2)-> (c_SEQ_Omonose_q(tc_RealDef_Oreal,V_X_2)->c_SEQ_Oconvergent(tc_RealDef_Oreal,V_X_2))).
% 14.26/14.11 all V_Y_2 V_X_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_SEQ_Oconvergent(T_a,V_X_2)-> (c_SEQ_Oconvergent(T_a,V_Y_2)->c_SEQ_Oconvergent(T_a,c_COMBS(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(T_a),V_X_2),V_Y_2))))).
% 14.26/14.11 all V_k_2 V_X_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_SEQ_OBse_q(T_a,V_X_2)->c_SEQ_OBse_q(T_a,c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat,V_X_2,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2))))).
% 14.26/14.11 all V_k_2 V_X_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_SEQ_OBse_q(T_a,c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat,V_X_2,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2)))->c_SEQ_OBse_q(T_a,V_X_2))).
% 14.26/14.11 all V_n_2 V_m_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)).
% 14.26/14.11 all V_m V_n (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.11 all V_n V_m (-c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))=V_m).
% 14.26/14.11 all V_k_2 V_j_2 V_i_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2),V_j_2)).
% 14.26/14.11 all V_i V_j V_k (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_j)->hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),V_j)).
% 14.26/14.11 all V_i_2 V_k_2 V_j_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2),V_i_2)<->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))).
% 14.26/14.11 all V_m V_n V_k (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_n)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_k))).
% 14.26/14.11 all V_m V_n (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_m)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))=V_m).
% 14.26/14.11 all V_i V_j V_k (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_j)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k)).
% 14.26/14.11 all V_i_2 V_j_2 V_k_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_j_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2))<->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2),V_j_2))).
% 14.26/14.11 all V_m V_n (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_m)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)=V_m).
% 14.26/14.11 all V_k_2 V_j_2 V_i_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2,V_j_2)-> (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)=V_k_2<->V_j_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2))).
% 14.26/14.11 all V_i V_j V_k (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_j)->hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))).
% 14.26/14.11 all V_i V_j V_k (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_j)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)),V_i)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_k)).
% 14.26/14.11 all V_i V_j V_k (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_j)->hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_k)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)),V_i)).
% 14.26/14.11 all V_y V_x (hAPP(c_Complex_ORe,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),V_x),V_y))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_Complex_ORe,V_y))).
% 14.26/14.11 all V_y V_x (hAPP(c_Complex_OIm,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),V_x),V_y))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)),hAPP(c_Complex_OIm,V_y))).
% 14.26/14.11 hAPP(c_Complex_OIm,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.11 all V_d V_c V_b V_a (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_a),V_b)),hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_c),V_d))=hAPP(hAPP(c_Complex_Ocomplex_OComplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_b),V_d))).
% 14.26/14.11 hAPP(c_Complex_ORe,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 14.26/14.11 all V_b_2 V_a_2 V_P_2 (hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))<-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_b_2)->hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))& (all B_d (V_a_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)->hBOOL(hAPP(V_P_2,B_d))))).
% 14.26/14.11 all V_b_2 V_a_2 V_P_2 (hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))<-> -(c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_b_2)& -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| (exists B_d (V_a_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)& -hBOOL(hAPP(V_P_2,B_d)))))).
% 14.26/14.11 all V_y V_x T_a (class_Rings_Olinordered__idom(T_a)-> (V_x!=V_y-> (-c_Orderings_Oord__class_Oless(T_a,V_x,V_y)->c_Orderings_Oord__class_Oless(T_a,V_y,V_x)))).
% 14.26/14.11 all V_z V_w c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),V_w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),V_w),V_z))),hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),V_z))).
% 14.26/14.11 all V_a V_b c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),V_b),V_a))),hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),V_b)),hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),V_a)).
% 14.26/14.11 all V_b_2 V_a_2 (hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_a_2),V_b_2)=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)<->V_a_2=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)&V_b_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.26/14.11 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)=hAPP(hAPP(c_Complex_Ocomplex_OComplex,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.26/14.11 all V_fa_2 V_X_2 T_a (class_SEQ_Ocomplete__space(T_a)-> (c_SEQ_Oconvergent(T_a,V_X_2)-> (c_SEQ_Osubse_q(V_fa_2)->c_SEQ_Oconvergent(T_a,c_Fun_Ocomp(tc_Nat_Onat,T_a,tc_Nat_Onat,V_X_2,V_fa_2))))).
% 14.26/14.11 all V_y V_x (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),V_x),V_y)=hAPP(hAPP(c_Complex_Ocomplex_OComplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_Complex_ORe,V_y))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)),hAPP(c_Complex_OIm,V_y)))).
% 14.26/14.11 all T_a (class_Rings_Ozero__ne_q__one(T_a)->c_Groups_Oone__class_Oone(T_a)!=c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.11 all T_a (class_Rings_Ozero__ne_q__one(T_a)->c_Groups_Ozero__class_Ozero(T_a)!=c_Groups_Oone__class_Oone(T_a)).
% 14.26/14.11 all T_a (class_Rings_Olinordered__idom(T_a)->hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a))=c_Groups_Oone__class_Oone(T_a)).
% 14.26/14.11 all V_c V_b V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_c)->c_Orderings_Oord__class_Oless(T_a,V_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))))).
% 14.26/14.11 all T_a (class_Rings_Olinordered__semidom(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a))).
% 14.26/14.11 all T_a (class_Rings_Olinordered__semidom(T_a)-> -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a))).
% 14.26/14.11 all T_a (class_Rings_Olinordered__semidom(T_a)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a))).
% 14.26/14.11 all T_a (class_Rings_Olinordered__semidom(T_a)-> -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a))).
% 14.26/14.11 all V_a T_a (class_Rings_Olinordered__semidom(T_a)->c_Orderings_Oord__class_Oless(T_a,V_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))).
% 14.26/14.11 exists B_L c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),B_L,c_Limits_Ose_quentially).
% 14.26/14.11 -(all B_y (-c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),B_y,c_Limits_Ose_quentially))).
% 14.26/14.11 -(all B_x (-c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____)),B_x,c_Limits_Ose_quentially))).
% 14.26/14.11 exists B_L c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____)),B_L,c_Limits_Ose_quentially).
% 14.26/14.11 all V_net_2 V_fa_2 T_a T_b (class_RealVector_Oreal__normed__vector(T_b)-> (c_Limits_Otendsto(T_a,tc_RealDef_Oreal,c_COMBB(T_b,tc_RealDef_Oreal,T_a,c_RealVector_Onorm__class_Onorm(T_b),V_fa_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_net_2)->c_Limits_Otendsto(T_a,T_b,V_fa_2,c_Groups_Ozero__class_Ozero(T_b),V_net_2))).
% 14.26/14.11 all V_net_2 V_fa_2 T_a T_b (class_RealVector_Oreal__normed__vector(T_b)-> (c_Limits_Otendsto(T_a,T_b,V_fa_2,c_Groups_Ozero__class_Ozero(T_b),V_net_2)->c_Limits_Otendsto(T_a,tc_RealDef_Oreal,c_COMBB(T_b,tc_RealDef_Oreal,T_a,c_RealVector_Onorm__class_Onorm(T_b),V_fa_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_net_2))).
% 14.26/14.11 all V_n V_m (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)).
% 14.26/14.11 all V_z V_y V_x (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),V_z))).
% 14.26/14.11 all V_k V_n V_m (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_k)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_k))).
% 14.26/14.11 all V_n_2 V_m_2 V_k_2 (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2)<->V_m_2=V_n_2).
% 14.26/14.11 all V_n_2 V_k_2 V_m_2 (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2)<->V_m_2=V_n_2).
% 14.26/14.11 all V_net_2 V_a_2 V_gb_2 T_a (c_Limits_Otendsto(T_a,tc_Complex_Ocomplex,V_gb_2,V_a_2,V_net_2)->c_Limits_Otendsto(T_a,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a,c_Complex_ORe,V_gb_2),hAPP(c_Complex_ORe,V_a_2),V_net_2)).
% 14.26/14.11 all V_net_2 V_a_2 V_gb_2 T_a (c_Limits_Otendsto(T_a,tc_Complex_Ocomplex,V_gb_2,V_a_2,V_net_2)->c_Limits_Otendsto(T_a,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a,c_Complex_OIm,V_gb_2),hAPP(c_Complex_OIm,V_a_2),V_net_2)).
% 14.26/14.11 all V_b_2 V_gb_2 V_net_2 V_a_2 V_fa_2 T_a (c_Limits_Otendsto(T_a,tc_RealDef_Oreal,V_fa_2,V_a_2,V_net_2)-> (c_Limits_Otendsto(T_a,tc_RealDef_Oreal,V_gb_2,V_b_2,V_net_2)->c_Limits_Otendsto(T_a,tc_Complex_Ocomplex,c_COMBS(T_a,tc_RealDef_Oreal,tc_Complex_Ocomplex,c_COMBB(tc_RealDef_Oreal,tc_fun(tc_RealDef_Oreal,tc_Complex_Ocomplex),T_a,c_Complex_Ocomplex_OComplex,V_fa_2),V_gb_2),hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_a_2),V_b_2),V_net_2))).
% 14.26/14.11 all V_X_2 (c_SEQ_Oconvergent(tc_Complex_Ocomplex,V_X_2)->c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,V_X_2))).
% 14.26/14.11 all V_X_2 (c_SEQ_Oconvergent(tc_Complex_Ocomplex,V_X_2)->c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,V_X_2))).
% 14.26/14.11 all V_l_2 V_fa_2 V_net_H_2 V_net_2 T_a T_b (class_RealVector_Otopological__space(T_b)-> (c_Orderings_Oord__class_Oless__e_q(tc_Limits_Onet(T_a),V_net_2,V_net_H_2)-> (c_Limits_Otendsto(T_a,T_b,V_fa_2,V_l_2,V_net_H_2)->c_Limits_Otendsto(T_a,T_b,V_fa_2,V_l_2,V_net_2)))).
% 14.26/14.11 all V_a_2 V_X_2 (c_Limits_Otendsto(tc_Nat_Onat,tc_Complex_Ocomplex,V_X_2,V_a_2,c_Limits_Ose_quentially)->c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,V_X_2),hAPP(c_Complex_ORe,V_a_2),c_Limits_Ose_quentially)).
% 14.26/14.11 all V_a_2 V_X_2 (c_Limits_Otendsto(tc_Nat_Onat,tc_Complex_Ocomplex,V_X_2,V_a_2,c_Limits_Ose_quentially)->c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,V_X_2),hAPP(c_Complex_OIm,V_a_2),c_Limits_Ose_quentially)).
% 14.26/14.11 all V_b_2 V_Y_2 V_a_2 V_X_2 (c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_X_2,V_a_2,c_Limits_Ose_quentially)-> (c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_Y_2,V_b_2,c_Limits_Ose_quentially)->c_Limits_Otendsto(tc_Nat_Onat,tc_Complex_Ocomplex,c_COMBS(tc_Nat_Onat,tc_RealDef_Oreal,tc_Complex_Ocomplex,c_COMBB(tc_RealDef_Oreal,tc_fun(tc_RealDef_Oreal,tc_Complex_Ocomplex),tc_Nat_Onat,c_Complex_Ocomplex_OComplex,V_X_2),V_Y_2),hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_a_2),V_b_2),c_Limits_Ose_quentially))).
% 14.26/14.11 all V_net_2 V_k_2 T_a T_b (class_RealVector_Otopological__space(T_b)->c_Limits_Otendsto(T_a,T_b,c_COMBK(T_b,T_a,V_k_2),V_k_2,V_net_2)).
% 14.26/14.11 all V_b_2 V_gb_2 V_net_2 V_a_2 V_fa_2 T_a T_b (class_RealVector_Oreal__normed__vector(T_b)-> (c_Limits_Otendsto(T_a,T_b,V_fa_2,V_a_2,V_net_2)-> (c_Limits_Otendsto(T_a,T_b,V_gb_2,V_b_2,V_net_2)->c_Limits_Otendsto(T_a,T_b,c_COMBS(T_a,T_b,T_b,c_COMBB(T_b,tc_fun(T_b,T_b),T_a,c_Groups_Oplus__class_Oplus(T_b),V_fa_2),V_gb_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2),V_net_2)))).
% 14.26/14.11 all V_b_2 V_gb_2 V_net_2 V_a_2 V_fa_2 T_a T_b (class_RealVector_Oreal__normed__vector(T_b)-> (c_Limits_Otendsto(T_a,T_b,V_fa_2,V_a_2,V_net_2)-> (c_Limits_Otendsto(T_a,T_b,V_gb_2,V_b_2,V_net_2)->c_Limits_Otendsto(T_a,T_b,c_COMBS(T_a,T_b,T_b,c_COMBB(T_b,tc_fun(T_b,T_b),T_a,c_Groups_Ominus__class_Ominus(T_b),V_fa_2),V_gb_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2),V_net_2)))).
% 14.26/14.11 all V_net_2 V_a_2 V_fa_2 T_a T_b (class_RealVector_Oreal__normed__vector(T_b)-> (c_Limits_Otendsto(T_a,T_b,V_fa_2,V_a_2,V_net_2)->c_Limits_Otendsto(T_a,tc_RealDef_Oreal,c_COMBB(T_b,tc_RealDef_Oreal,T_a,c_RealVector_Onorm__class_Onorm(T_b),V_fa_2),hAPP(c_RealVector_Onorm__class_Onorm(T_b),V_a_2),V_net_2))).
% 14.26/14.11 all V_net_2 V_fa_2 T_a T_b (class_RealVector_Oreal__normed__vector(T_b)-> (c_Limits_Otendsto(T_a,tc_RealDef_Oreal,c_COMBB(T_b,tc_RealDef_Oreal,T_a,c_RealVector_Onorm__class_Onorm(T_b),V_fa_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_net_2)<->c_Limits_Otendsto(T_a,T_b,V_fa_2,c_Groups_Ozero__class_Ozero(T_b),V_net_2))).
% 14.26/14.11 all V_a_2 T_a (class_Rings_Olinordered__idom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2),c_Groups_Ozero__class_Ozero(T_a))<->c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)))).
% 14.26/14.11 all V_z (hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),V_z)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),V_z),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),V_z),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),V_z),c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),V_z),c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 14.26/14.11 all V_L_2 V_X_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_L_2,c_Limits_Ose_quentially)<-> (all B_r (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_r)-> (exists B_no all B_n (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_no,B_n)->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(V_X_2,B_n)),V_L_2)),B_r))))))).
% 14.26/14.11 all V_ra_2 V_L_2 V_X_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_L_2,c_Limits_Ose_quentially)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_ra_2)-> (exists B_no all B_n (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_no,B_n)->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(V_X_2,B_n)),V_L_2)),V_ra_2)))))).
% 14.26/14.11 all V_X_2 V_M_2 T_a T_b (class_RealVector_Oreal__normed__vector(T_b)&class_Orderings_Oord(T_a)-> ((all B_n (c_Orderings_Oord__class_Oless__e_q(T_a,V_M_2,B_n)->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_X_2,V_M_2)),hAPP(V_X_2,B_n))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))-> (all B_n (c_Orderings_Oord__class_Oless__e_q(T_a,V_M_2,B_n)->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_b),hAPP(V_X_2,B_n)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_RealVector_Onorm__class_Onorm(T_b),hAPP(V_X_2,V_M_2)))))))).
% 14.26/14.11 all V_net_H_2 V_net_2 T_a (c_Orderings_Oord__class_Oless(tc_Limits_Onet(T_a),V_net_2,V_net_H_2)<->c_Orderings_Oord__class_Oless__e_q(tc_Limits_Onet(T_a),V_net_2,V_net_H_2)& -c_Orderings_Oord__class_Oless__e_q(tc_Limits_Onet(T_a),V_net_H_2,V_net_2)).
% 14.26/14.11 c_Complex_Oii!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 14.26/14.11 c_Complex_Oii!=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex).
% 14.26/14.11 hAPP(c_Complex_ORe,c_Complex_Oii)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.11 hAPP(c_Complex_OIm,c_Complex_Oii)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 14.26/14.11 c_Complex_Oii=hAPP(hAPP(c_Complex_Ocomplex_OComplex,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 14.26/14.11 all V_ya_2 V_xa_2 (hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_xa_2),V_ya_2)=c_Complex_Oii<->V_xa_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)&V_ya_2=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 14.26/14.11 all V_a_2 T_a (class_Groups_Olinordered__ab__group__add(T_a)-> (hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)=c_Groups_Ozero__class_Ozero(T_a)<->V_a_2=c_Groups_Ozero__class_Ozero(T_a))).
% 14.26/14.11 all V_X_2 T_a (class_RealVector_Ometric__space(T_a)-> (c_SEQ_Oconvergent(T_a,V_X_2)<->c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,c_SEQ_Olim(T_a,V_X_2),c_Limits_Ose_quentially))).
% 14.26/14.11 all V_l_2 V_k_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_l_2)<-> (exists B_n (V_l_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),B_n)))).
% 14.26/14.11 all V_x (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)->c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_x),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(V_x)),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 14.26/14.11 all V_c_2 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_c_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))->c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_c_2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially)).
% 14.26/14.11 all V_c_2 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_c_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))->c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_c_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially)).
% 14.26/14.11 all V_n V_x T_a (class_RealVector_Oreal__normed__algebra__1(T_a)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x)),V_n))).
% 14.26/14.11 all V_n V_x T_a (class_RealVector_Oreal__normed__div__algebra(T_a)->hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x)),V_n)).
% 14.26/14.11 c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 14.26/14.11 all V_m_2 V_a_2 V_X_2 T_a (class_Power_Opower(T_a)&class_RealVector_Oreal__normed__algebra(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)->c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_a,c_COMBB(T_a,tc_fun(tc_Nat_Onat,T_a),tc_Nat_Onat,c_Power_Opower__class_Opower(T_a),V_X_2),V_m_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_m_2),c_Limits_Ose_quentially))).
% 14.26/14.11 c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.11 all V_x c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatceiling(V_x)).
% 14.26/14.11 all V_y V_x (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x,V_y)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),c_RComplete_Onatceiling(V_y))).
% 14.26/14.11 all V_x (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))->c_RComplete_Onatceiling(V_x)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.11 all V_xa_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_xa_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))<->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 14.26/14.11 all V_xa_2 (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))->c_SEQ_Omonose_q(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_xa_2)))).
% 14.26/14.11 all V_xa_2 (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))->c_SEQ_Oconvergent(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_xa_2)))).
% 14.26/14.11 all V_L_2 V_X_2 T_a (class_RealVector_Ometric__space(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_L_2,c_Limits_Ose_quentially)->c_SEQ_Olim(T_a,V_X_2)=V_L_2)).
% 14.26/14.11 all V_xa_2 (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))->c_SEQ_OBse_q(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_xa_2)))).
% 14.26/14.11 all V_xa_2 T_a (class_RealVector_Oreal__normed__algebra__1(T_a)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_xa_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))->c_Limits_Otendsto(tc_Nat_Onat,T_a,hAPP(c_Power_Opower__class_Opower(T_a),V_xa_2),c_Groups_Ozero__class_Ozero(T_a),c_Limits_Ose_quentially))).
% 14.26/14.11 all V_xa_2 (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))->c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_xa_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially))).
% 14.26/14.11 all V_n V_b V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)->c_Orderings_Oord__class_Oless(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)))))).
% 14.26/14.11 all V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))))).
% 14.26/14.11 all V_ya_2 V_xa_2 V_b_2 T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_xa_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_ya_2))<->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_xa_2,V_ya_2)))).
% 14.26/14.11 all V_n V_m V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)-> (c_Orderings_Oord__class_Oless__e_q(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))->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)))).
% 14.26/14.11 all V_a V_N V_n T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_N)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,c_Groups_Oone__class_Oone(T_a))->c_Orderings_Oord__class_Oless__e_q(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_a),V_n)))))).
% 14.26/14.11 all V_n_2 V_xa_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_xa_2)),V_n_2))<->V_xa_2!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.11 all V_n V_m V_i (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n))).
% 14.26/14.11 all V_n_2 V_xa_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_xa_2),V_n_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_xa_2)|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.11 all V_n V_a T_a (class_Rings_Oring__1__no__zero__divisors(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)!=c_Groups_Ozero__class_Ozero(T_a))).
% 14.26/14.11 all V_n T_a (class_Groups_Omonoid__mult(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),V_n)=c_Groups_Oone__class_Oone(T_a)).
% 14.26/14.11 all V_n V_a T_a (class_Rings_Olinordered__idom(T_a)->hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n)).
% 14.26/14.11 all V_a T_a (class_Groups_Omonoid__mult(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))=V_a).
% 14.26/14.11 all V_n V_b V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)->c_Orderings_Oord__class_Oless__e_q(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))))).
% 14.26/14.11 all V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))).
% 14.26/14.11 all V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))).
% 14.26/14.11 all V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a),V_a)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))).
% 14.26/14.11 all V_n_2 V_a_2 T_a (class_Power_Opower(T_a)&class_Rings_Omult__zero(T_a)&class_Rings_Ono__zero__divisors(T_a)&class_Rings_Ozero__ne_q__one(T_a)-> (hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2)=c_Groups_Ozero__class_Ozero(T_a)<->V_a_2=c_Groups_Ozero__class_Ozero(T_a)&V_n_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 14.26/14.11 all V_n_2 V_m_2 V_a_2 T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a_2)-> (hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_m_2)=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2)<->V_m_2=V_n_2))).
% 14.26/14.11 all V_a T_a (class_Power_Opower(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(T_a)).
% 14.26/14.11 all V_b V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(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))-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)->c_Orderings_Oord__class_Oless(T_a,V_a,V_b)))).
% 14.26/14.11 all V_n T_a (class_Power_Opower(T_a)&class_Rings_Osemiring__0(T_a)-> (V_n=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n)=c_Groups_Oone__class_Oone(T_a))& (V_n!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n)=c_Groups_Ozero__class_Ozero(T_a))).
% 14.26/14.11 all V_n V_a T_a (class_Rings_Olinordered__idom(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n))).
% 14.26/14.11 all V_a V_N V_n T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)->c_Orderings_Oord__class_Oless(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_a),V_N))))).
% 14.26/14.11 all V_n V_m V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)-> (c_Orderings_Oord__class_Oless(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))->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)))).
% 14.26/14.11 all V_ya_2 V_xa_2 V_b_2 T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_xa_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_ya_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_xa_2,V_ya_2)))).
% 14.26/14.11 all V_a V_N V_n T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_N)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a),V_a)->c_Orderings_Oord__class_Oless__e_q(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_a),V_N))))).
% 14.26/14.11 all V_a V_N V_n T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))->c_Orderings_Oord__class_Oless(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_a),V_n)))))).
% 14.26/14.11 all V_b V_n V_a T_a (class_Rings_Olinordered__semidom(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)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)->V_a=V_b))))).
% 14.26/14.11 all V_x T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(T_a)).
% 14.26/14.11 all V_x (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)->c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_x),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 14.26/14.11 all V_x T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat))=V_x).
% 14.26/14.11 all V_x V_n (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x)-> (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))->c_RComplete_Onatceiling(V_x)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 14.26/14.11 all V_n c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)).
% 14.26/14.11 all V_n V_x c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),V_n)).
% 14.26/14.11 all V_n V_x (V_x=c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))->c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)),V_n)).
% 14.26/14.11 all V_n V_m (c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),V_n)).
% 14.26/14.11 all V_n V_m (hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),V_n)=c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n))).
% 14.26/14.11 all V_z (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)=V_z).
% 14.26/14.11 all V_z (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))=V_z).
% 14.26/14.11 all V_x (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)),V_x)).
% 14.26/14.11 all V_a V_x (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_x),V_a)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x,c_RComplete_Onatfloor(V_a))).
% 14.26/14.11 all V_x (hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_x))=c_RealDef_Oreal(tc_Nat_Onat,V_x)).
% 14.26/14.11 all V_n (c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,V_n))=V_n).
% 14.26/14.11 all V_m_2 V_n_2 (c_RealDef_Oreal(tc_Nat_Onat,V_n_2)=c_RealDef_Oreal(tc_Nat_Onat,V_m_2)<->V_n_2=V_m_2).
% 14.26/14.11 all V_l_2 V_k_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2)<->c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k_2),V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 14.26/14.11 all V_w_2 V_z_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_w_2)<->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z_2,V_w_2)&V_z_2!=V_w_2).
% 14.26/14.11 all V_y V_x (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x,V_y)|V_x=V_y|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_y,V_x)).
% 14.26/14.11 all V_z V_z_H V_w V_w_H (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_H,V_w)-> (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z_H,V_z)->c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_H),V_z_H),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z)))).
% 14.26/14.11 all V_k V_j V_i (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)->c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),V_k),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_j),V_k))).
% 14.26/14.11 all V_z V_w (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w,V_z)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)).
% 14.26/14.11 all V_z (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z)->c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z))).
% 14.26/14.11 all V_z_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))<->c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 14.26/14.11 all V_z_2 V_w_2 (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)<->c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2)).
% 14.26/14.11 all V_z_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint))<->V_z_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.11 all V_z_2 V_w_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))<->c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2)|V_w_2=V_z_2).
% 14.26/14.11 all V_z_2 V_w_2 (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))<->c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2)).
% 14.26/14.11 all V_z_2 V_w_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))<->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w_2,V_z_2)).
% 14.26/14.11 all V_z_2 (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2)<->c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2)).
% 14.26/14.11 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 14.26/14.11 all V_z (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)),V_z)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.11 c_Groups_Ozero__class_Ozero(tc_Int_Oint)!=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 14.26/14.11 all V_n (c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,V_n))=V_n).
% 14.26/14.11 all V_a_2 V_xa_2 (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_a_2,c_RComplete_Onatfloor(V_xa_2))<->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a_2),V_xa_2))).
% 14.26/14.12 all V_x c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 14.26/14.12 all V_x V_a (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a),V_x)->c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),V_x),c_RealDef_Oreal(tc_Nat_Onat,V_a)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)),V_a)).
% 14.26/14.12 all V_x c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),V_x),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))).
% 14.26/14.12 all V_n_2 (c_RealDef_Oreal(tc_Nat_Onat,V_n_2)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)<->V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.12 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.12 all V_n (-c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 14.26/14.12 all V_m_2 V_n_2 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_RealDef_Oreal(tc_Nat_Onat,V_m_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)).
% 14.26/14.12 all V_m_2 V_n_2 (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_RealDef_Oreal(tc_Nat_Onat,V_m_2))<->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n_2,V_m_2)).
% 14.26/14.12 all V_n V_x (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_n))->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_n))).
% 14.26/14.12 all V_n V_m (c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),c_RealDef_Oreal(tc_Nat_Onat,V_n))).
% 14.26/14.12 all V_a V_x (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)->c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_x),c_RealDef_Oreal(tc_Nat_Onat,V_a)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)),V_a)).
% 14.26/14.12 all V_n V_z (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(V_z)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_z,c_RealDef_Oreal(tc_Nat_Onat,V_n))).
% 14.26/14.12 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 14.26/14.12 all V_x V_n (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))->c_RComplete_Onatfloor(V_x)=V_n)).
% 14.26/14.12 all V_x c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(V_x))).
% 14.26/14.12 c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.12 all V_x c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)).
% 14.26/14.12 all V_y V_x (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x,V_y)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),c_RComplete_Onatfloor(V_y))).
% 14.26/14.12 c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 14.26/14.12 all V_n_2 (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))<->V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.12 all V_m V_n (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_m)->c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),c_RealDef_Oreal(tc_Nat_Onat,V_n))).
% 14.26/14.12 all V_a V_x (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),V_a)).
% 14.26/14.12 all V_d V_c V_b V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))).
% 14.26/14.12 all V_c V_b V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_b)).
% 14.26/14.12 all V_c V_b V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))).
% 14.26/14.12 all V_d V_c V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_d)).
% 14.26/14.12 all V_d V_c V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_d))).
% 14.26/14.12 all V_c V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)).
% 14.26/14.12 all V_x (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))->c_RComplete_Onatfloor(V_x)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.12 all V_n_2 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)).
% 14.26/14.12 all V_m_2 V_n_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)<->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n_2)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,V_m_2))).
% 14.26/14.12 all V_m_2 V_n_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n_2,V_m_2)<->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m_2)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))).
% 14.26/14.12 all V_a_2 V_xa_2 (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_xa_2),V_a_2)<->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,c_RealDef_Oreal(tc_Nat_Onat,V_a_2)))).
% 14.26/14.12 all V_x V_a (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a),V_x)->c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),V_x),c_RealDef_Oreal(tc_Nat_Onat,V_a)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_RComplete_Onatceiling(V_x)),V_a)).
% 14.26/14.12 all V_xa_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(V_xa_2))<->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_xa_2)).
% 14.26/14.12 all V_a V_x (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)->c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_x),c_RealDef_Oreal(tc_Nat_Onat,V_a)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(V_x)),V_a)).
% 14.26/14.12 all V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)=V_a).
% 14.26/14.12 all V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=V_a).
% 14.26/14.12 all V_a_2 V_b_2 T_a (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)-> (V_b_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_a_2)<->V_a_2=c_Groups_Ozero__class_Ozero(T_a))).
% 14.26/14.12 all V_n_2 V_xa_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_xa_2),V_n_2))<->V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_xa_2)).
% 14.26/14.12 all V_r (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_r)-> (exists B_n (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_r)&c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_RealDef_Oreal(tc_Nat_Onat,B_n))))).
% 14.26/14.12 all V_n V_x (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n))).
% 14.26/14.12 all V_a_2 V_xa_2 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_xa_2)->c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_RealDef_Oreal,tc_RealDef_Oreal,tc_Nat_Onat,hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),V_a_2),hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_xa_2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially)).
% 14.26/14.12 all V_n V_b V_a T_a (class_Fields_Ofield__inverse__zero(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)),V_n)=hAPP(hAPP(c_Rings_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))).
% 14.26/14.12 all V_a T_a (class_Rings_Odivision__ring__inverse__zero(T_a)->hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.12 all V_a T_a (class_Rings_Odivision__ring(T_a)->hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)=c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.12 all V_y T_a (class_RealVector_Oreal__normed__field(T_a)->hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)=c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.12 all V_a V_b T_a (class_RealVector_Oreal__normed__field(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_b)))).
% 14.26/14.12 all V_a T_a (class_Rings_Odivision__ring(T_a)->hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a))=V_a).
% 14.26/14.12 all V_ya V_y V_x T_a (class_RealVector_Oreal__normed__field(T_a)->hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),V_ya)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_ya)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_ya))).
% 14.26/14.12 all V_c V_b V_a T_a (class_Rings_Odivision__ring(T_a)->hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))).
% 14.26/14.12 all V_ya V_y V_x T_a (class_RealVector_Oreal__normed__field(T_a)->hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y)),V_ya)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_ya)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_ya))).
% 14.26/14.12 all V_c V_b V_a T_a (class_Rings_Odivision__ring(T_a)->hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))).
% 14.26/14.12 all V_b V_a T_a (class_Fields_Ofield__inverse__zero(T_a)&class_RealVector_Oreal__normed__field(T_a)->hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_b))).
% 14.26/14.12 all V_w V_z (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z,V_w)-> (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w,V_z)->V_z=V_w)).
% 14.26/14.12 all V_k V_j V_i (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i,V_j)-> (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_j,V_k)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i,V_k))).
% 14.26/14.12 all V_w V_z (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z,V_w)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w,V_z)).
% 14.26/14.12 all V_w c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w,V_w).
% 14.26/14.12 all V_k V_j V_i (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i,V_j)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_j))).
% 14.26/14.12 all V_w V_z (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_w)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z)).
% 14.26/14.12 all V_z V_y V_x (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_y),V_z))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_z))).
% 14.26/14.12 all V_z3 V_z2 V_z1 (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)),V_z3)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z2),V_z3))).
% 14.26/14.12 all V_ya_2 V_net_2 V_a_2 V_gb_2 T_a T_b (class_RealVector_Oreal__normed__field(T_b)-> (c_Limits_Otendsto(T_a,T_b,V_gb_2,V_a_2,V_net_2)->c_Limits_Otendsto(T_a,T_b,c_COMBC(T_a,T_b,T_b,c_COMBB(T_b,tc_fun(T_b,T_b),T_a,c_Rings_Oinverse__class_Odivide(T_b),V_gb_2),V_ya_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_ya_2),V_net_2))).
% 14.26/14.12 all V_ya_2 V_X_2 T_a (class_RealVector_Oreal__normed__field(T_a)-> (c_SEQ_Oconvergent(T_a,V_X_2)->c_SEQ_Oconvergent(T_a,c_COMBC(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(T_a),V_X_2),V_ya_2)))).
% 14.26/14.12 all V_a_2 V_b_2 T_a (class_Rings_Odivision__ring(T_a)-> (V_b_2!=c_Groups_Ozero__class_Ozero(T_a)-> (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2)=c_Groups_Oone__class_Oone(T_a)<->V_a_2=V_b_2))).
% 14.26/14.12 all V_a T_a (class_Rings_Odivision__ring(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a)=c_Groups_Oone__class_Oone(T_a))).
% 14.26/14.12 all V_a T_a (class_Rings_Odivision__ring__inverse__zero(T_a)-> (V_a=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a)=c_Groups_Ozero__class_Ozero(T_a))& (V_a!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a)=c_Groups_Oone__class_Oone(T_a))).
% 14.26/14.12 all V_n V_a V_b T_a (class_Fields_Ofield(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)),V_n)=hAPP(hAPP(c_Rings_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)))).
% 14.26/14.12 all V_n V_a T_a (class_Fields_Ofield__inverse__zero(T_a)->hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)),V_n)).
% 14.26/14.12 all V_ya_2 V_xa_2 (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),V_xa_2),V_ya_2))<-> (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_ya_2))& (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_ya_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))).
% 14.26/14.12 all V_b_2 V_gb_2 V_net_2 V_a_2 V_fa_2 T_a T_b (class_RealVector_Oreal__normed__field(T_b)-> (c_Limits_Otendsto(T_a,T_b,V_fa_2,V_a_2,V_net_2)-> (c_Limits_Otendsto(T_a,T_b,V_gb_2,V_b_2,V_net_2)-> (V_b_2!=c_Groups_Ozero__class_Ozero(T_b)->c_Limits_Otendsto(T_a,T_b,c_COMBS(T_a,T_b,T_b,c_COMBB(T_b,tc_fun(T_b,T_b),T_a,c_Rings_Oinverse__class_Odivide(T_b),V_fa_2),V_gb_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2),V_net_2))))).
% 14.26/14.12 all V_ya_2 V_a_2 V_X_2 T_a (class_RealVector_Oreal__normed__field(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)->c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBC(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(T_a),V_X_2),V_ya_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_ya_2),c_Limits_Ose_quentially))).
% 14.26/14.12 c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 14.26/14.12 c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.12 all V_y V_x (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)-> (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)))).
% 14.26/14.12 all V_b_2 V_Y_2 V_a_2 V_X_2 T_a (class_RealVector_Oreal__normed__field(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_Y_2,V_b_2,c_Limits_Ose_quentially)-> (V_b_2!=c_Groups_Ozero__class_Ozero(T_a)->c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBS(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(T_a),V_X_2),V_Y_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2),c_Limits_Ose_quentially))))).
% 14.26/14.12 all V_m V_n V_a T_a (class_Fields_Ofield(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_m)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(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))))).
% 14.26/14.12 all V_x V_y T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)->hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_x)),V_y)=hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)))).
% 14.26/14.12 all V_b V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),V_b))).
% 14.26/14.12 all V_b V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)->c_Orderings_Oord__class_Oless(T_a,V_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)))))).
% 14.26/14.12 all V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,V_y,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))))).
% 14.26/14.12 all V_b V_a T_a (class_Fields_Olinordered__field__inverse__zero(T_a)->hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))).
% 14.26/14.12 all V_b_2 V_a_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2))<->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)&c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))&c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)))).
% 14.26/14.12 all V_b_2 V_a_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))<->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)&c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))&c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2))).
% 14.26/14.12 all V_c V_b V_a T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))))).
% 14.26/14.12 all V_c V_b V_a T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c))))).
% 14.26/14.12 all V_b_2 V_a_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2))<->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)&c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))&c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)))).
% 14.26/14.12 all V_b_2 V_a_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))<->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)&c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))&c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2))).
% 14.26/14.12 all V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))))).
% 14.26/14.12 all V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)-> (c_Orderings_Oord__class_Oless(T_a,V_y,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y),c_Groups_Ozero__class_Ozero(T_a))))).
% 14.26/14.12 all V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y),c_Groups_Ozero__class_Ozero(T_a))))).
% 14.26/14.12 all V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,V_y,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))))).
% 14.26/14.12 all V_c V_b V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))))).
% 14.26/14.12 all V_c V_a V_b T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))))).
% 14.26/14.12 all V_a V_b T_a (class_Fields_Olinordered__field(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))).
% 14.26/14.12 all V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))))).
% 14.26/14.12 all V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)-> (c_Orderings_Oord__class_Oless(T_a,V_y,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y),c_Groups_Ozero__class_Ozero(T_a))))).
% 14.26/14.12 all V_z V_w V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_w)-> (c_Orderings_Oord__class_Oless(T_a,V_w,V_z)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))))))).
% 14.26/14.12 all V_z V_w V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_y)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_w)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_w,V_z)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))))))).
% 14.26/14.12 all V_z V_w V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_w)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_w,V_z)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))))))).
% 14.26/14.12 all V_y V_x T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y),c_Groups_Ozero__class_Ozero(T_a))))).
% 14.26/14.12 all V_xa_2 T_a (class_RealVector_Oreal__normed__field(T_a)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_xa_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))->c_Series_Osums(T_a,hAPP(c_Power_Opower__class_Opower(T_a),V_xa_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Groups_Oone__class_Oone(T_a)),V_xa_2))))).
% 14.26/14.12 all V_x V_y ((c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_y,V_x)->c_Nat__Transfer_Otsub(V_x,V_y)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y))& (-c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_y,V_x)->c_Nat__Transfer_Otsub(V_x,V_y)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 14.26/14.12 all V_y V_x (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_y)->c_RComplete_Onatfloor(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),V_x),c_RealDef_Oreal(tc_Nat_Onat,V_y)))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_y))).
% 14.26/14.12 all V_ya_2 V_a_2 V_X_2 T_a (class_RealVector_Oreal__normed__field(T_a)-> (c_Series_Osums(T_a,V_X_2,V_a_2)->c_Series_Osums(T_a,c_COMBC(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(T_a),V_X_2),V_ya_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_ya_2)))).
% 14.26/14.12 all V_c_2 V_a_2 V_fa_2 T_a (class_RealVector_Oreal__normed__field(T_a)-> (c_Series_Osums(T_a,V_fa_2,V_a_2)->c_Series_Osums(T_a,c_COMBC(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(T_a),V_fa_2),V_c_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_c_2)))).
% 14.26/14.12 all V_a_2 V_X_2 (c_Series_Osums(tc_Complex_Ocomplex,V_X_2,V_a_2)->c_Series_Osums(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,V_X_2),hAPP(c_Complex_OIm,V_a_2))).
% 14.26/14.12 all V_a_2 V_X_2 (c_Series_Osums(tc_Complex_Ocomplex,V_X_2,V_a_2)->c_Series_Osums(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,V_X_2),hAPP(c_Complex_ORe,V_a_2))).
% 14.26/14.12 all V_b_2 V_Y_2 V_a_2 V_X_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_Series_Osums(T_a,V_X_2,V_a_2)-> (c_Series_Osums(T_a,V_Y_2,V_b_2)->c_Series_Osums(T_a,c_COMBS(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Ominus__class_Ominus(T_a),V_X_2),V_Y_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2))))).
% 14.26/14.12 all V_b_2 V_Y_2 V_a_2 V_X_2 T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_Series_Osums(T_a,V_X_2,V_a_2)-> (c_Series_Osums(T_a,V_Y_2,V_b_2)->c_Series_Osums(T_a,c_COMBS(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(T_a),V_X_2),V_Y_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2))))).
% 14.26/14.12 all T_a (class_RealVector_Oreal__normed__vector(T_a)->c_Series_Osums(T_a,c_COMBK(T_a,tc_Nat_Onat,c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Ozero__class_Ozero(T_a))).
% 14.26/14.12 all V_x V_n c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n,V_x)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),c_RealDef_Oreal(tc_Nat_Onat,V_x))).
% 14.26/14.12 all V_y V_x (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)-> (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(V_x,V_y)))).
% 14.26/14.12 all V_x V_n c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),c_RealDef_Oreal(tc_Nat_Onat,V_x))),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n,V_x)))).
% 14.26/14.12 all V_x V_n c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),c_RealDef_Oreal(tc_Nat_Onat,V_x))),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n,V_x))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 14.26/14.12 all V_x V_y (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_y,V_x)->c_Nat__Transfer_Otsub(V_x,V_y)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y)).
% 14.26/14.12 all V_m V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n),V_m))).
% 14.26/14.12 all V_k V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_k,V_n),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_k,V_m)))).
% 14.26/14.12 all V_a V_b T_a (class_Divides_Osemiring__div(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a),V_b)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Odiv(T_a,V_a,V_b)),c_Groups_Oone__class_Oone(T_a)))).
% 14.26/14.12 all V_b (c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.12 all V_b V_a (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)->c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 14.26/14.12 all V_a_2 V_b_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))<->c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a_2))).
% 14.26/14.12 all V_a_2 V_b_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))<->c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 14.26/14.12 all V_a (V_a!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)->c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_a)=c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 14.26/14.12 all V_y V_x (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)-> (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_x,V_y)))).
% 14.26/14.12 all V_b V_a_H V_a (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a,V_a_H)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,c_Groups_Ozero__class_Ozero(tc_Int_Oint))->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_H,V_b),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)))).
% 14.26/14.12 all V_b V_a_H V_a (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a,V_a_H)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_H,V_b)))).
% 14.26/14.12 all V_b V_a (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_a)->c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 14.26/14.12 all V_b V_b_H V_a (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)-> (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_b_H,V_b)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b_H),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b))))).
% 14.26/14.12 all V_b V_a (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 14.26/14.12 all V_a_2 V_b_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))-> (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2))<->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 14.26/14.12 all V_b V_a (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,V_b)->c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 14.26/14.12 all V_b V_a (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,c_Groups_Ozero__class_Ozero(tc_Int_Oint))->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 14.26/14.12 all V_b V_b_H V_a (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)-> (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_b_H,V_b)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b_H))))).
% 14.26/14.12 all V_b_2 V_a_2 (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a_2)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2))<->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_b_2,V_a_2)&c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2))).
% 14.26/14.12 all V_i_2 V_k_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2))<->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_k_2,V_i_2))).
% 14.26/14.12 all V_a_2 V_b_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2))<->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a_2))).
% 14.26/14.12 all V_k_2 V_i_2 (c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)<->V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_i_2)&c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i_2,V_k_2)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))&c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_i_2)).
% 14.26/14.12 all V_k V_x (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_k)->c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_x,V_k),V_x))).
% 14.26/14.12 all V_a T_a (class_Divides_Osemiring__div(T_a)->c_Divides_Odiv__class_Odiv(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.12 all V_a T_a (class_Divides_Osemiring__div(T_a)->c_Divides_Odiv__class_Odiv(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.12 all V_a T_a (class_Divides_Osemiring__div(T_a)->c_Divides_Odiv__class_Odiv(T_a,V_a,c_Groups_Oone__class_Oone(T_a))=V_a).
% 14.26/14.12 all V_k V_n V_m (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_k),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n,V_k))).
% 14.26/14.12 all V_n V_m c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n),V_m).
% 14.26/14.12 all V_a T_a (class_Divides_Osemiring__div(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,V_a,V_a)=c_Groups_Oone__class_Oone(T_a))).
% 14.26/14.12 all V_n V_m (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.12 all V_a V_b T_a (class_Divides_Osemiring__div(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_b)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Odiv(T_a,V_a,V_b)),c_Groups_Oone__class_Oone(T_a)))).
% 14.26/14.12 all V_xa_2 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_xa_2)->c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_RealDef_Oreal,tc_RealDef_Oreal,tc_Nat_Onat,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_xa_2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially)).
% 14.26/14.12 all V_n V_x (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),V_x)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_x),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),V_n))).
% 14.26/14.12 all V_n_2 V_P_2 (-hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))-> (hBOOL(hAPP(V_P_2,V_n_2))-> (exists B_k (c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_k,V_n_2)& (all B_i (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_i,B_k)-> -hBOOL(hAPP(V_P_2,B_i))))&hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))))).
% 14.26/14.12 all V_c_2 V_a_2 V_fa_2 T_a (class_RealVector_Oreal__normed__algebra(T_a)-> (c_Series_Osums(T_a,V_fa_2,V_a_2)->c_Series_Osums(T_a,c_COMBB(T_a,T_a,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_fa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2)))).
% 14.26/14.12 all V_c_2 V_a_2 V_fa_2 T_a (class_RealVector_Oreal__normed__algebra(T_a)-> (c_Series_Osums(T_a,V_fa_2,V_a_2)->c_Series_Osums(T_a,c_COMBC(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(T_a),V_fa_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)))).
% 14.26/14.12 all V_xa_2 V_a_2 V_X_2 T_a (class_RealVector_Oreal__normed__algebra(T_a)-> (c_Series_Osums(T_a,V_X_2,V_a_2)->c_Series_Osums(T_a,c_COMBB(T_a,T_a,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_X_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_a_2)))).
% 14.26/14.12 all V_ya_2 V_a_2 V_X_2 T_a (class_RealVector_Oreal__normed__algebra(T_a)-> (c_Series_Osums(T_a,V_X_2,V_a_2)->c_Series_Osums(T_a,c_COMBC(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(T_a),V_X_2),V_ya_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ya_2)))).
% 14.26/14.12 all V_x V_r T_a (class_RealVector_Oreal__normed__div__algebra(T_a)-> (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_r,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x))-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_r)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_x)),hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),V_r))))).
% 14.26/14.12 all V_b V_a T_a (class_Fields_Ofield(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b))))).
% 14.26/14.12 all V_a T_a (class_Fields_Ofield(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)),V_a)=c_Groups_Oone__class_Oone(T_a))).
% 14.26/14.12 all V_xa_2 T_a (class_Fields_Ofield__inverse__zero(T_a)-> (hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_xa_2)=c_Groups_Oone__class_Oone(T_a)<->V_xa_2=c_Groups_Oone__class_Oone(T_a))).
% 14.26/14.12 all V_y V_x (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),V_x),V_y)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),V_y))).
% 14.26/14.12 all V_S V_R (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),V_R),V_S)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_R),hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),V_S))).
% 14.26/14.12 all V_b V_a T_a (class_Fields_Ofield__inverse__zero(T_a)->hAPP(c_Rings_Oinverse__class_Oinverse(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_a)).
% 14.26/14.12 all V_b V_a T_a (class_Fields_Ofield(T_a)->hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b))).
% 14.26/14.12 all V_w V_z V_y V_x T_a (class_Fields_Ofield__inverse__zero(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_z),V_w))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_w))).
% 14.26/14.12 all V_c V_b V_a T_a (class_Rings_Odivision__ring(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c)).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Odivision__ring(T_a)->hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b))).
% 14.26/14.12 all V_b V_a T_a (class_Fields_Ofield__inverse__zero(T_a)->hAPP(c_Rings_Oinverse__class_Oinverse(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b))).
% 14.26/14.12 all V_a T_a (class_Fields_Olinordered__field__inverse__zero(T_a)->hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))=hAPP(c_Rings_Oinverse__class_Oinverse(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))).
% 14.26/14.12 all T_a (class_Fields_Ofield__inverse__zero(T_a)->hAPP(c_Rings_Oinverse__class_Oinverse(T_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.12 all V_Y_2 V_X_2 T_a (class_RealVector_Oreal__normed__algebra(T_a)-> (c_SEQ_Oconvergent(T_a,V_X_2)-> (c_SEQ_Oconvergent(T_a,V_Y_2)->c_SEQ_Oconvergent(T_a,c_COMBS(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(T_a),V_X_2),V_Y_2))))).
% 14.26/14.12 all V_ya_2 V_X_2 T_a (class_RealVector_Oreal__normed__algebra(T_a)-> (c_SEQ_Oconvergent(T_a,V_X_2)->c_SEQ_Oconvergent(T_a,c_COMBC(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(T_a),V_X_2),V_ya_2)))).
% 14.26/14.12 all V_xa_2 V_X_2 T_a (class_RealVector_Oreal__normed__algebra(T_a)-> (c_SEQ_Oconvergent(T_a,V_X_2)->c_SEQ_Oconvergent(T_a,c_COMBB(T_a,T_a,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_X_2)))).
% 14.26/14.12 all V_q V_y V_x T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_q)=hAPP(hAPP(c_Groups_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))).
% 14.26/14.12 all V_n V_b V_a T_a (class_Groups_Ocomm__monoid__mult(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_n)=hAPP(hAPP(c_Groups_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))).
% 14.26/14.12 all V_n V_a T_a (class_Groups_Omonoid__mult(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))).
% 14.26/14.12 all V_n V_a T_a (class_Rings_Odivision__ring__inverse__zero(T_a)->hAPP(c_Rings_Oinverse__class_Oinverse(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)),V_n)).
% 14.26/14.12 all V_b_2 V_a_2 V_c_2 (V_c_2!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)-> (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c_2),V_a_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c_2),V_b_2)<->V_a_2=V_b_2)).
% 14.26/14.12 all V_b_2 V_a_2 V_c_2 (V_c_2!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)-> (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a_2),V_c_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_b_2),V_c_2)<->V_a_2=V_b_2)).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Olinordered__idom(T_a)->hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))).
% 14.26/14.12 all V_a T_a (class_Rings_Olinordered__idom(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Odivision__ring(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(c_Rings_Oinverse__class_Oinverse(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b)),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))))).
% 14.26/14.12 all V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.12 all V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)=c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.12 all V_ry V_rx V_ly V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_ry))).
% 14.26/14.12 all V_ry V_rx V_ly V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry))).
% 14.26/14.12 all V_ry V_rx V_ly V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)))).
% 14.26/14.12 all V_rx V_ly V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly)).
% 14.26/14.12 all V_rx V_ly V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_rx))).
% 14.26/14.12 all V_ry V_rx V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry)).
% 14.26/14.12 all V_ry V_rx V_lx T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ry))).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)).
% 14.26/14.12 all V_a T_a (class_Rings_Omult__zero(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)=c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.12 all V_a T_a (class_Rings_Omult__zero(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.12 all V_b_2 V_a_2 T_a (class_Rings_Oring__no__zero__divisors(T_a)-> (hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)=c_Groups_Ozero__class_Ozero(T_a)<->V_a_2=c_Groups_Ozero__class_Ozero(T_a)|V_b_2=c_Groups_Ozero__class_Ozero(T_a))).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Ono__zero__divisors(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)!=c_Groups_Ozero__class_Ozero(T_a)))).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Ono__zero__divisors(T_a)-> (hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)=c_Groups_Ozero__class_Ozero(T_a)->V_a=c_Groups_Ozero__class_Ozero(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a))).
% 14.26/14.12 all V_x T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.12 all V_a T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.12 all V_y T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)=c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.12 all V_b T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)=c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.12 hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Odivision__ring(T_a)-> (hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)=hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->V_a=V_b)))).
% 14.26/14.12 all V_a T_a (class_Rings_Odivision__ring(T_a)-> (hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)=c_Groups_Ozero__class_Ozero(T_a)->V_a=c_Groups_Ozero__class_Ozero(T_a))).
% 14.26/14.12 all V_a T_a (class_Rings_Odivision__ring(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(c_Rings_Oinverse__class_Oinverse(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))=V_a)).
% 14.26/14.12 all V_a T_a (class_Rings_Odivision__ring(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)!=c_Groups_Ozero__class_Ozero(T_a))).
% 14.26/14.12 all V_a_2 T_a (class_Rings_Odivision__ring__inverse__zero(T_a)-> (hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a_2)=c_Groups_Ozero__class_Ozero(T_a)<->V_a_2=c_Groups_Ozero__class_Ozero(T_a))).
% 14.26/14.12 all T_a (class_Rings_Odivision__ring__inverse__zero(T_a)->hAPP(c_Rings_Oinverse__class_Oinverse(T_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.12 all V_a T_a (class_RealVector_Oreal__normed__div__algebra(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))=hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a)))).
% 14.26/14.12 all V_s V_y V_r V_x T_a (class_RealVector_Oreal__normed__algebra(T_a)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x),V_r)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_y),V_s)->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r),V_s))))).
% 14.26/14.12 all V_y V_x T_a (class_RealVector_Oreal__normed__div__algebra(T_a)->hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_y))).
% 14.26/14.12 all V_a T_a (class_RealVector_Oreal__normed__div__algebra(T_a)&class_Rings_Odivision__ring__inverse__zero(T_a)->hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))=hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a))).
% 14.26/14.12 all V_z3 V_z2 V_z1 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),V_z2)),V_z3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z2),V_z3))).
% 14.26/14.12 all V_w V_z (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_w)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_w),V_z)).
% 14.26/14.12 all V_c V_b V_a T_a (class_Groups_Oab__semigroup__mult(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Odivision__ring__inverse__zero(T_a)-> (hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)=hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b)->V_a=V_b)).
% 14.26/14.12 all V_b_2 V_a_2 T_a (class_Rings_Odivision__ring__inverse__zero(T_a)-> (hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a_2)=hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b_2)<->V_a_2=V_b_2)).
% 14.26/14.12 all V_a T_a (class_Rings_Odivision__ring__inverse__zero(T_a)->hAPP(c_Rings_Oinverse__class_Oinverse(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))=V_a).
% 14.26/14.12 all V_xa_2 V_net_2 V_a_2 V_gb_2 T_a T_b (class_RealVector_Oreal__normed__algebra(T_b)-> (c_Limits_Otendsto(T_a,T_b,V_gb_2,V_a_2,V_net_2)->c_Limits_Otendsto(T_a,T_b,c_COMBB(T_b,T_b,T_a,hAPP(c_Groups_Otimes__class_Otimes(T_b),V_xa_2),V_gb_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_xa_2),V_a_2),V_net_2))).
% 14.26/14.12 all V_ya_2 V_net_2 V_a_2 V_gb_2 T_a T_b (class_RealVector_Oreal__normed__algebra(T_b)-> (c_Limits_Otendsto(T_a,T_b,V_gb_2,V_a_2,V_net_2)->c_Limits_Otendsto(T_a,T_b,c_COMBC(T_a,T_b,T_b,c_COMBB(T_b,tc_fun(T_b,T_b),T_a,c_Groups_Otimes__class_Otimes(T_b),V_gb_2),V_ya_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ya_2),V_net_2))).
% 14.26/14.12 all V_b_2 V_gb_2 V_net_2 V_a_2 V_fa_2 T_a T_b (class_RealVector_Oreal__normed__algebra(T_b)-> (c_Limits_Otendsto(T_a,T_b,V_fa_2,V_a_2,V_net_2)-> (c_Limits_Otendsto(T_a,T_b,V_gb_2,V_b_2,V_net_2)->c_Limits_Otendsto(T_a,T_b,c_COMBS(T_a,T_b,T_b,c_COMBB(T_b,tc_fun(T_b,T_b),T_a,c_Groups_Otimes__class_Otimes(T_b),V_fa_2),V_gb_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2),V_net_2)))).
% 14.26/14.12 all V_y V_x T_a (class_RealVector_Oreal__normed__algebra(T_a)->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_y)))).
% 14.26/14.12 all V_ya V_y V_x T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y)),V_ya)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_ya)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_ya))).
% 14.26/14.12 all V_b V_a_H V_a T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a_H)),V_b)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b))).
% 14.26/14.12 all V_y V_x V_xa T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_y))).
% 14.26/14.12 all V_b_H V_b V_a T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_b_H))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b_H))).
% 14.26/14.12 all V_c V_b V_e V_a T_a (class_Rings_Osemiring(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_e)),V_c))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_e)),V_c)).
% 14.26/14.12 all V_c V_b V_a T_a (class_Rings_Ocomm__semiring(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))).
% 14.26/14.12 all V_ya V_y V_x T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),V_ya)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_ya)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_ya))).
% 14.26/14.12 all V_b V_a_H V_a T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_a_H)),V_b)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b))).
% 14.26/14.12 all V_y V_x V_xa T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_y))).
% 14.26/14.12 all V_b_H V_b V_a T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_b_H))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b_H))).
% 14.26/14.12 all V_w V_z2 V_z1 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_z1),V_z2)),V_w)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z2),V_w))).
% 14.26/14.12 all V_z (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_z)=V_z).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Odivision__ring(T_a)-> (hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)=c_Groups_Oone__class_Oone(T_a)->hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)=V_b)).
% 14.26/14.12 all T_a (class_Rings_Odivision__ring(T_a)->hAPP(c_Rings_Oinverse__class_Oinverse(T_a),c_Groups_Oone__class_Oone(T_a))=c_Groups_Oone__class_Oone(T_a)).
% 14.26/14.12 all V_a T_a (class_Groups_Omonoid__mult(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)=V_a).
% 14.26/14.12 all V_a T_a (class_Groups_Ocomm__monoid__mult(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)=V_a).
% 14.26/14.12 all V_a T_a (class_Groups_Omonoid__mult(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a))=V_a).
% 14.26/14.12 all V_a T_a (class_Groups_Ocomm__monoid__mult(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a))=V_a).
% 14.26/14.12 all V_x (V_x!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),V_x)),V_x)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 14.26/14.12 all V_a T_a (class_Rings_Odivision__ring(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))=c_Groups_Oone__class_Oone(T_a))).
% 14.26/14.12 all V_a T_a (class_Rings_Odivision__ring(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)),V_a)=c_Groups_Oone__class_Oone(T_a))).
% 14.26/14.12 all V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)=V_a).
% 14.26/14.12 all V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a))=V_a).
% 14.26/14.12 all V_z_2 V_xa_2 V_ya_2 V_w_2 T_a (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)-> (hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_ya_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_z_2))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_ya_2))<->V_w_2=V_xa_2|V_ya_2=V_z_2)).
% 14.26/14.12 all V_b V_m V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_m))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_m)).
% 14.26/14.12 all V_c V_b V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))).
% 14.26/14.12 all V_d_2 V_c_2 V_b_2 V_a_2 T_a (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)-> (V_a_2!=V_b_2&V_c_2!=V_d_2<->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_d_2))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2)))).
% 14.26/14.12 all V_z V_y V_x T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z))).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Odivision__ring(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b))))).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Odivision__ring(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a))),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b))))).
% 14.26/14.12 all V_a_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a_2))<->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2))).
% 14.26/14.12 all V_a_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))<->c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)))).
% 14.26/14.12 all V_a_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a_2))<->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2))).
% 14.26/14.12 all V_a_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))<->c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)))).
% 14.26/14.12 all V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)))).
% 14.26/14.12 all V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)))).
% 14.26/14.12 all V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))).
% 14.26/14.12 all V_b V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)->c_Orderings_Oord__class_Oless(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))))).
% 14.26/14.12 all V_b V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))))).
% 14.26/14.12 all V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)->c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))))).
% 14.26/14.12 all V_b V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)->c_Orderings_Oord__class_Oless(T_a,V_b,V_a)))).
% 14.26/14.12 all V_b V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b))-> (c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,V_b,V_a)))).
% 14.26/14.12 all V_n V_a T_a (class_Rings_Odivision__ring(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(c_Rings_Oinverse__class_Oinverse(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)),V_n))).
% 14.26/14.12 all V_a T_a (class_Fields_Olinordered__field(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))=hAPP(c_Rings_Oinverse__class_Oinverse(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)))).
% 14.26/14.12 all V_a T_a (class_Fields_Ofield(T_a)->hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)).
% 14.26/14.12 all V_a T_a (class_Rings_Odivision__ring(T_a)->hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Oordered__cancel__semiring(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)&c_Orderings_Oord__class_Oless__e_q(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))&c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Oordered__ring(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)&c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))&c_Orderings_Oord__class_Oless__e_q(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))).
% 14.26/14.12 all V_d V_c V_b V_a T_a (class_Rings_Oordered__semiring(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_d)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))))))).
% 14.26/14.12 all V_d V_c V_b V_a T_a (class_Rings_Oordered__semiring(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_d)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))))))).
% 14.26/14.12 all V_c V_a V_b T_a (class_Rings_Oordered__ring(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))))).
% 14.26/14.12 all V_c V_a V_b T_a (class_Rings_Oordered__ring(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))))).
% 14.26/14.12 all V_c V_b V_a T_a (class_Rings_Oordered__comm__semiring(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))))).
% 14.26/14.12 all V_c V_b V_a T_a (class_Rings_Oordered__semiring(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))))).
% 14.26/14.12 all V_c V_b V_a T_a (class_Rings_Oordered__semiring(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))))).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Oordered__ring(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))))).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Oordered__cancel__semiring(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a))))).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Oordered__cancel__semiring(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),c_Groups_Ozero__class_Ozero(T_a))))).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Oordered__cancel__semiring(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a))))).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Oordered__cancel__semiring(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))))).
% 14.26/14.12 all V_b_2 V_a_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))<->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)&c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))&c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2))).
% 14.26/14.12 all V_b_2 V_a_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2))<->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)&c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))&c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)))).
% 14.26/14.12 all V_a T_a (class_Rings_Olinordered__ring(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a))).
% 14.26/14.12 all V_c V_a V_b T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))))).
% 14.26/14.12 all V_c V_a V_b T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))))).
% 14.26/14.12 all V_c V_b V_a T_a (class_Rings_Olinordered__comm__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))))).
% 14.26/14.12 all V_c V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))))).
% 14.26/14.12 all V_c V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))))).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))))).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a))))).
% 14.26/14.12 all V_b_2 V_a_2 V_c_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))<->c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2)))).
% 14.26/14.12 all V_a V_b T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)))).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)))).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),c_Groups_Ozero__class_Ozero(T_a))))).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a))))).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))))).
% 14.26/14.12 all V_b_2 V_a_2 V_c_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))<->c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)))).
% 14.26/14.12 all V_b_2 V_a_2 V_c_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))<->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)&c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))&c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2))).
% 14.26/14.12 all V_b_2 V_c_2 V_a_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2))<->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)&c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))&c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2))).
% 14.26/14.12 all V_a T_a (class_Rings_Olinordered__ring(T_a)-> -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a),c_Groups_Ozero__class_Ozero(T_a))).
% 14.26/14.12 all V_d V_c V_b V_a V_r T_a (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)-> (V_r!=c_Groups_Ozero__class_Ozero(T_a)-> (V_a=V_b&V_c!=V_d->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_c))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_d))))).
% 14.26/14.12 all V_n V_m T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_m)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_n)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),V_n))))).
% 14.26/14.12 all V_d_2 V_b_2 V_c_2 V_e_2 V_a_2 T_a (class_Rings_Oring(T_a)-> (hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_c_2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)<->V_c_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2))).
% 14.26/14.12 all V_d_2 V_b_2 V_c_2 V_e_2 V_a_2 T_a (class_Rings_Oring(T_a)-> (hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_c_2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)<->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_c_2)=V_d_2)).
% 14.26/14.12 all V_b V_a V_y V_x T_a (class_Rings_Oring(T_a)->hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_a)),V_b))).
% 14.26/14.12 all V_b V_a V_y V_x T_a (class_RealVector_Oreal__normed__algebra(T_a)->hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_a)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_a)),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_b)))).
% 14.26/14.12 all V_m T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),V_m)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),V_m)).
% 14.26/14.12 all V_a V_m T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m)).
% 14.26/14.12 all V_m V_a T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)),V_m)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m)).
% 14.26/14.12 all V_b V_a V_c T_a (class_Rings_Odivision__ring(T_a)-> (V_c!=c_Groups_Ozero__class_Ozero(T_a)-> (hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)=V_b->V_a=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)))).
% 14.26/14.12 all V_a V_b V_c T_a (class_Rings_Odivision__ring(T_a)-> (V_c!=c_Groups_Ozero__class_Ozero(T_a)-> (V_b=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)->hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)=V_a))).
% 14.26/14.12 all V_a_2 V_b_2 V_c_2 T_a (class_Rings_Odivision__ring(T_a)-> (V_c_2!=c_Groups_Ozero__class_Ozero(T_a)-> (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)=V_a_2<->V_b_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)))).
% 14.26/14.12 all V_b_2 V_a_2 V_c_2 T_a (class_Rings_Odivision__ring(T_a)-> (V_c_2!=c_Groups_Ozero__class_Ozero(T_a)-> (V_a_2=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)<->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)=V_b_2))).
% 14.26/14.12 all V_w_2 V_xa_2 V_z_2 V_ya_2 T_a (class_Fields_Ofield(T_a)-> (V_ya_2!=c_Groups_Ozero__class_Ozero(T_a)-> (V_z_2!=c_Groups_Ozero__class_Ozero(T_a)-> (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_xa_2),V_ya_2)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w_2),V_z_2)<->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_z_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_ya_2))))).
% 14.26/14.12 all V_b V_a V_c T_a (class_Fields_Ofield__inverse__zero(T_a)-> (V_c!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b))).
% 14.26/14.12 all V_b V_a V_c T_a (class_Fields_Ofield__inverse__zero(T_a)-> (V_c!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b))).
% 14.26/14.12 all V_a_2 V_c_2 V_b_2 T_a (class_Fields_Ofield__inverse__zero(T_a)-> (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)=V_a_2<-> (V_c_2!=c_Groups_Ozero__class_Ozero(T_a)->V_b_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))& (V_c_2=c_Groups_Ozero__class_Ozero(T_a)->V_a_2=c_Groups_Ozero__class_Ozero(T_a)))).
% 14.26/14.12 all V_c_2 V_b_2 V_a_2 T_a (class_Fields_Ofield__inverse__zero(T_a)-> (V_a_2=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)<-> (V_c_2!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)=V_b_2)& (V_c_2=c_Groups_Ozero__class_Ozero(T_a)->V_a_2=c_Groups_Ozero__class_Ozero(T_a)))).
% 14.26/14.12 all V_b V_a V_c T_a (class_Divides_Osemiring__div(T_a)-> (V_c!=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))=c_Divides_Odiv__class_Odiv(T_a,V_a,V_b))).
% 14.26/14.12 all V_b V_a V_c T_a (class_Divides_Osemiring__div(T_a)-> (V_c!=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))=c_Divides_Odiv__class_Odiv(T_a,V_a,V_b))).
% 14.26/14.12 all V_a V_b T_a (class_Divides_Osemiring__div(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),V_b)=V_a)).
% 14.26/14.12 all V_a V_b T_a (class_Divides_Osemiring__div(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_b)=V_a)).
% 14.26/14.12 all V_b V_a V_c T_a (class_Divides_Osemiring__div(T_a)-> (V_c=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))=c_Groups_Ozero__class_Ozero(T_a))& (V_c!=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))=c_Divides_Odiv__class_Odiv(T_a,V_a,V_b))).
% 14.26/14.12 all V_d V_b V_c V_a T_a (class_Rings_Olinordered__idom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a),V_c)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b),V_d)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_d))))).
% 14.26/14.12 all V_n V_m V_a T_a (class_Groups_Omonoid__mult(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Groups_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))).
% 14.26/14.12 all V_q V_p V_x T_a (class_Rings_Ocomm__semiring__1(T_a)->hAPP(hAPP(c_Groups_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_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_p),V_q))).
% 14.26/14.12 all V_y V_x V_z (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y)->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_y)))).
% 14.26/14.12 all V_y V_x (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y)->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_y)))).
% 14.26/14.12 all V_ya_2 V_xa_2 V_z_2 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ya_2),V_z_2))<->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_ya_2))).
% 14.26/14.12 all V_ya_2 V_xa_2 (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_xa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ya_2),V_ya_2))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)<->V_xa_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)&V_ya_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.26/14.12 all V_net_2 V_a_2 V_fa_2 T_a T_b (class_RealVector_Oreal__normed__div__algebra(T_b)-> (c_Limits_Otendsto(T_a,T_b,V_fa_2,V_a_2,V_net_2)-> (V_a_2!=c_Groups_Ozero__class_Ozero(T_b)->c_Limits_Otendsto(T_a,T_b,c_COMBB(T_b,T_b,T_a,c_Rings_Oinverse__class_Oinverse(T_b),V_fa_2),hAPP(c_Rings_Oinverse__class_Oinverse(T_b),V_a_2),V_net_2)))).
% 14.26/14.12 all V_b_2 V_a_2 V_fa_2 (hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(V_fa_2,V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(V_fa_2,V_b_2)),hAPP(V_fa_2,V_a_2))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),V_b_2),V_a_2))),V_a_2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(V_fa_2,V_b_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(V_fa_2,V_b_2)),hAPP(V_fa_2,V_a_2))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),V_b_2),V_a_2))),V_b_2))).
% 14.26/14.12 all V_xa_2 V_a_2 V_X_2 T_a (class_RealVector_Oreal__normed__algebra(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)->c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBB(T_a,T_a,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_X_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_a_2),c_Limits_Ose_quentially))).
% 14.26/14.12 all V_ya_2 V_a_2 V_X_2 T_a (class_RealVector_Oreal__normed__algebra(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)->c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBC(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(T_a),V_X_2),V_ya_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ya_2),c_Limits_Ose_quentially))).
% 14.26/14.12 all V_b_2 V_Y_2 V_a_2 V_X_2 T_a (class_RealVector_Oreal__normed__algebra(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_Y_2,V_b_2,c_Limits_Ose_quentially)->c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBS(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(T_a),V_X_2),V_Y_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2),c_Limits_Ose_quentially)))).
% 14.26/14.12 all V_b V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b))-> (c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)))).
% 14.26/14.12 all V_b V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)->c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)))).
% 14.26/14.12 all V_b V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))))).
% 14.26/14.12 all V_b V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))))).
% 14.26/14.12 all V_xa_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_xa_2),c_Groups_Oone__class_Oone(T_a))<->c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a),V_xa_2))).
% 14.26/14.12 all V_xa_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_xa_2))<->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_xa_2)&c_Orderings_Oord__class_Oless(T_a,V_xa_2,c_Groups_Oone__class_Oone(T_a)))).
% 14.26/14.12 all V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))->c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))))).
% 14.26/14.12 all V_a T_a (class_Rings_Odivision__ring(T_a)-> (V_a!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))).
% 14.26/14.12 all V_b V_a V_c T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)))).
% 14.26/14.12 all V_b V_c V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)))).
% 14.26/14.12 all V_b V_a V_c T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless(T_a,V_a,V_b)))).
% 14.26/14.12 all V_b V_a V_c T_a (class_Rings_Olinordered__semiring(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless(T_a,V_a,V_b)))).
% 14.26/14.12 all V_b V_c V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless(T_a,V_a,V_b)))).
% 14.26/14.12 all V_b V_c V_a T_a (class_Rings_Olinordered__semiring(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless(T_a,V_a,V_b)))).
% 14.26/14.12 all V_d V_c V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,V_c,V_d)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))))))).
% 14.26/14.12 all V_d V_c V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_d)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))))))).
% 14.26/14.12 all V_d V_c V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,V_c,V_d)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))))))).
% 14.26/14.12 all V_d V_c V_b V_a T_a (class_Rings_Olinordered__semiring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,V_c,V_d)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))))))).
% 14.26/14.12 all V_b_2 V_a_2 V_c_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))<->c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,V_a_2)))).
% 14.26/14.12 all V_b_2 V_a_2 V_c_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))<->c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2)))).
% 14.26/14.12 all V_y V_x T_a (class_Rings_Olinordered__idom(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,c_Groups_Oone__class_Oone(T_a))->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),V_x))))).
% 14.26/14.12 all V_y V_x T_a (class_Rings_Olinordered__idom(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,c_Groups_Oone__class_Oone(T_a))->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x),V_x))))).
% 14.26/14.12 all V_d_2 V_b_2 V_c_2 V_e_2 V_a_2 T_a (class_Rings_Oordered__ring(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2))<->c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2)))).
% 14.26/14.12 all V_d_2 V_b_2 V_c_2 V_e_2 V_a_2 T_a (class_Rings_Oordered__ring(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2))<->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_c_2),V_d_2))).
% 14.26/14.12 all V_d_2 V_b_2 V_c_2 V_e_2 V_a_2 T_a (class_Rings_Oordered__ring(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2))<->c_Orderings_Oord__class_Oless(T_a,V_c_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2)))).
% 14.26/14.12 all V_d_2 V_b_2 V_c_2 V_e_2 V_a_2 T_a (class_Rings_Oordered__ring(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2))<->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_c_2),V_d_2))).
% 14.26/14.12 all V_c_2 V_b_2 V_a_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))<-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2))& (-c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)))& (-c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)))))).
% 14.26/14.12 all V_a_2 V_c_2 V_b_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)<-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)->c_Orderings_Oord__class_Oless(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)))& (-c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2))& (-c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2))))).
% 14.26/14.12 all V_b_2 V_a_2 V_c_2 T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))<->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2)))).
% 14.26/14.12 all V_a_2 V_b_2 V_c_2 T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)<->c_Orderings_Oord__class_Oless(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))))).
% 14.26/14.12 all V_z V_x V_y T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)-> (c_Orderings_Oord__class_Oless(T_a,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y),V_z)))).
% 14.26/14.12 all V_x V_z V_y T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y),V_x)->c_Orderings_Oord__class_Oless(T_a,V_z,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))))).
% 14.26/14.12 all V_b_2 V_a_2 V_c_2 T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))<->c_Orderings_Oord__class_Oless(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))))).
% 14.26/14.12 all V_a_2 V_b_2 V_c_2 T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)<->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2)))).
% 14.26/14.12 all V_c V_a V_b T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_b,V_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b)))))).
% 14.26/14.12 all V_c V_b V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b)))))).
% 14.26/14.12 all V_x T_a (class_Rings_Oring__1(T_a)->hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),c_Groups_Oone__class_Oone(T_a))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),c_Groups_Oone__class_Oone(T_a)))).
% 14.26/14.12 all V_w V_x V_z V_y T_a (class_Fields_Ofield(T_a)-> (V_y!=c_Groups_Ozero__class_Ozero(T_a)-> (V_z!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w),V_z))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z))))).
% 14.26/14.12 all V_y V_x V_z T_a (class_Fields_Ofield(T_a)-> (V_z!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),V_y)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_z))).
% 14.26/14.12 all V_z V_x V_y T_a (class_Fields_Ofield__inverse__zero(T_a)-> (V_y!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_y))).
% 14.26/14.12 all V_y V_x V_z T_a (class_Fields_Ofield(T_a)-> (V_z!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_z))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x)),V_y)),V_z))).
% 14.26/14.12 all V_x V_z V_y T_a (class_Fields_Ofield__inverse__zero(T_a)-> (V_y!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_y))).
% 14.26/14.12 all V_b V_a T_a (class_Rings_Oordered__ring__abs(T_a)-> ((c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)))& (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|c_Orderings_Oord__class_Oless__e_q(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)))->hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))).
% 14.26/14.12 all V_y V_x T_a (class_Rings_Olinordered__idom(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_y)),V_x)=hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)))).
% 14.26/14.12 all V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)->c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))))).
% 14.26/14.12 all V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))))).
% 14.26/14.12 all V_w V_x V_z V_y T_a (class_Fields_Ofield(T_a)-> (V_y!=c_Groups_Ozero__class_Ozero(T_a)-> (V_z!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w),V_z))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z))))).
% 14.26/14.12 all V_y V_x V_z T_a (class_Fields_Ofield(T_a)-> (V_z!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),V_y)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_z))).
% 14.26/14.12 all V_y V_x V_z T_a (class_Fields_Ofield(T_a)-> (V_z!=c_Groups_Ozero__class_Ozero(T_a)->hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_z))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x)),V_y)),V_z))).
% 14.26/14.12 all V_c V_a V_b T_a (class_Divides_Osemiring__div(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_b)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),c_Divides_Odiv__class_Odiv(T_a,V_a,V_b)))).
% 14.26/14.12 all V_c V_a V_b T_a (class_Divides_Osemiring__div(T_a)-> (V_b!=c_Groups_Ozero__class_Ozero(T_a)->c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)),V_b)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),c_Divides_Odiv__class_Odiv(T_a,V_a,V_b)))).
% 14.26/14.12 all V_h V_d V_c V_b V_a T_a (class_RealVector_Oreal__field(T_a)->hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_d))),V_h)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_d)),V_h))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_c)),V_h)),V_d))).
% 14.26/14.12 all V_ya_2 V_xa_2 V_z_2 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_xa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_ya_2))<->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_ya_2))).
% 14.26/14.12 all V_ya_2 V_xa_2 V_z_2 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ya_2),V_z_2))<->c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_ya_2))).
% 14.26/14.12 all V_y V_x V_c (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_c,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))-> (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c),hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_y)))->V_x=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))).
% 14.26/14.12 all V_a_2 V_X_2 T_a (class_RealVector_Oreal__normed__div__algebra(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)-> (V_a_2!=c_Groups_Ozero__class_Ozero(T_a)->c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBB(T_a,T_a,tc_Nat_Onat,c_Rings_Oinverse__class_Oinverse(T_a),V_X_2),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a_2),c_Limits_Ose_quentially)))).
% 14.26/14.12 all V_a T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,c_Groups_Oone__class_Oone(T_a))->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))))).
% 14.26/14.12 all V_xa_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_xa_2),c_Groups_Oone__class_Oone(T_a))<->c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_xa_2))).
% 14.26/14.12 all V_xa_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_xa_2))<->c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_xa_2)&c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,c_Groups_Oone__class_Oone(T_a)))).
% 14.26/14.12 all V_v V_u V_y V_a V_x T_a (class_Rings_Olinordered__semiring__1(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v)-> (hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v)=c_Groups_Oone__class_Oone(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y)),V_a))))))).
% 14.26/14.12 all V_c V_b V_a T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b)))))).
% 14.26/14.12 all V_c V_a V_b T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b)))))).
% 14.26/14.12 all V_a_2 V_b_2 V_c_2 T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)<->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2)))).
% 14.26/14.12 all V_b_2 V_a_2 V_c_2 T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))<->c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))))).
% 14.26/14.12 all V_x V_z V_y T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y),V_x)->c_Orderings_Oord__class_Oless__e_q(T_a,V_z,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))))).
% 14.26/14.12 all V_z V_x V_y T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y),V_z)))).
% 14.26/14.12 all V_a_2 V_b_2 V_c_2 T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)<->c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))))).
% 14.26/14.12 all V_b_2 V_a_2 V_c_2 T_a (class_Fields_Olinordered__field(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))<->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2)))).
% 14.26/14.12 all V_a_2 V_c_2 V_b_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)<-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)->c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)))& (-c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2))& (-c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2))))).
% 14.26/14.12 all V_c_2 V_b_2 V_a_2 T_a (class_Fields_Olinordered__field__inverse__zero(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))<-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)->c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2))& (-c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)-> (c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)))& (-c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))->c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)))))).
% 14.26/14.12 all V_n V_a T_a (class_Rings_Olinordered__semidom(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))))).
% 14.26/14.12 all V_y V_x V_c T_a (class_RealVector_Oreal__normed__vector(T_a)-> (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_c,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))-> (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_y)))->V_x=c_Groups_Ozero__class_Ozero(T_a)))).
% 14.26/14.12 all V_a_2 V_X_2 T_a (class_RealVector_Oreal__normed__div__algebra(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)-> (V_a_2!=c_Groups_Ozero__class_Ozero(T_a)->c_SEQ_OBse_q(T_a,c_COMBB(T_a,T_a,tc_Nat_Onat,c_Rings_Oinverse__class_Oinverse(T_a),V_X_2))))).
% 14.26/14.12 all V_v V_u V_y V_a V_x T_a (class_Rings_Olinordered__semiring__1__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,V_x,V_a)-> (c_Orderings_Oord__class_Oless(T_a,V_y,V_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u)-> (c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v)-> (hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v)=c_Groups_Oone__class_Oone(T_a)->c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y)),V_a))))))).
% 14.26/14.12 all V_x V_n T_a (class_Groups_Omonoid__mult(T_a)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_x)=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))).
% 14.26/14.12 all V_m V_n T_a (class_Power_Opower(T_a)-> (V_n=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n)=c_Groups_Oone__class_Oone(T_a))& (V_n!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))).
% 14.26/14.12 all V_u V_y V_x1 V_x (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x1),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_u))->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y),hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_u),hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),V_x1)))))).
% 14.26/14.12 all V_u V_y V_x1 V_x (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1)-> (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x1),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_u))->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),V_x)),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),V_x1)),V_u))))).
% 14.26/14.12 all V_c V_b V_a (c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_a,V_b),V_c)).
% 14.26/14.12 all V_z V_y V_x (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),V_z)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y),V_z))).
% 14.26/14.12 all V_q V_p V_x T_a (class_Rings_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_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),V_q))).
% 14.26/14.12 all V_n V_m V_a T_a (class_Groups_Omonoid__mult(T_a)->hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),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)).
% 14.26/14.12 all V_n_2 V_k_2 V_m_2 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)<->V_m_2=V_n_2|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.12 all V_n_2 V_m_2 V_k_2 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)<->V_m_2=V_n_2|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.12 all V_n_2 V_m_2 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)<->V_m_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.12 all V_m (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.12 all V_n (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.12 all V_w V_z2 V_z1 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)),V_w)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w))).
% 14.26/14.12 all V_z2 V_z1 V_w (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2))).
% 14.26/14.12 all V_z2 V_z1 V_w (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z1),V_z2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2))).
% 14.26/14.12 all V_w V_z2 V_z1 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z1),V_z2)),V_w)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w))).
% 14.26/14.12 all V_k V_n V_m (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_k)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k))).
% 14.26/14.12 all V_n V_m V_k (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n))).
% 14.26/14.12 all V_l V_k V_j V_i (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_j)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_l)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_l)))).
% 14.26/14.12 all V_k V_j V_i (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_j)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j))).
% 14.26/14.12 all V_k V_j V_i (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_j)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k))).
% 14.26/14.12 all V_m c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m))).
% 14.26/14.12 all V_m c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m)).
% 14.26/14.12 all V_k V_n V_m (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_k)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k))).
% 14.26/14.12 all V_n V_m V_k (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n))).
% 14.26/14.12 all V_n (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)=V_n).
% 14.26/14.12 all V_n_2 V_m_2 (c_Groups_Oone__class_Oone(tc_Nat_Onat)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)<->V_m_2=c_Groups_Oone__class_Oone(tc_Nat_Onat)&V_n_2=c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 14.26/14.12 all V_n (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))=V_n).
% 14.26/14.12 all V_n_2 V_m_2 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)=c_Groups_Oone__class_Oone(tc_Nat_Onat)<->V_m_2=c_Groups_Oone__class_Oone(tc_Nat_Onat)&V_n_2=c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 14.26/14.12 all V_z (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)=V_z).
% 14.26/14.12 all V_z (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint))=V_z).
% 14.26/14.12 all V_n_2 V_m_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)&c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)).
% 14.26/14.12 all V_n_2 V_m_2 V_k_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)&c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)).
% 14.26/14.12 all V_n_2 V_k_2 V_m_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)&c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)).
% 14.26/14.12 all V_k V_j V_i (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k)))).
% 14.26/14.12 all V_k V_j V_i (c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)->c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j)))).
% 14.26/14.12 all V_y V_x (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)-> (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)))).
% 14.26/14.12 all V_k V_j V_i (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k)->c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_j)))).
% 14.26/14.12 all V_n V_m (V_m=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)->V_n=c_Groups_Oone__class_Oone(tc_Nat_Onat)|V_m=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.12 all V_n V_m (c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),c_RealDef_Oreal(tc_Nat_Onat,V_n))).
% 14.26/14.12 all V_n V_m (hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n))=c_Groups_Oone__class_Oone(tc_Int_Oint)->hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m)=c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 14.26/14.12 all V_z V_y V_x (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_z))).
% 14.26/14.12 all V_n_2 V_k_2 V_m_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2))<-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2))).
% 14.26/14.12 all V_n_2 V_m_2 V_k_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))<-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2))).
% 14.26/14.12 all V_n_2 V_m_2 (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_m_2)-> (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2)=c_Groups_Oone__class_Oone(tc_Int_Oint)<->V_m_2=c_Groups_Oone__class_Oone(tc_Int_Oint)&V_n_2=c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 14.26/14.12 all V_m V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m),V_n)=V_m).
% 14.26/14.12 all V_m V_n (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n),V_n)=V_m).
% 14.26/14.12 all V_b V_a V_c (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_c)->c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c))=c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),V_c)).
% 14.26/14.12 all V_r_H V_q_H V_b_H (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_q_H)))).
% 14.26/14.12 all V_r_H V_q_H V_b_H (c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))-> (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q_H,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))).
% 14.26/14.12 all V_r V_q V_r_H V_q_H V_b (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H)),V_r_H),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r))-> (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q_H,V_q))))).
% 14.26/14.12 all V_r_H V_q_H V_b_H V_r V_q V_b (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)-> (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)-> (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)-> (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_b_H,V_b)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q,V_q_H))))))).
% 14.26/14.12 all V_r V_q V_r_H V_q_H V_b (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H)),V_r_H),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r))-> (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_r,c_Groups_Ozero__class_Ozero(tc_Int_Oint))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r_H)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q,V_q_H))))).
% 14.26/14.12 all V_r_H V_q_H V_b_H V_r V_q V_b (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)-> (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)-> (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_b_H,V_b)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q_H,V_q))))))).
% 14.26/14.12 all V_k_2 V_n_2 V_P_2 (hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n_2,V_k_2)))<-> (V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))& (V_k_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)-> (all B_i B_j (c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_j,V_k_2)-> (V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j)->hBOOL(hAPP(V_P_2,B_i))))))).
% 14.26/14.12 all V_d V_c V_b V_a (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_a),V_b)),hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_c),V_d))=hAPP(hAPP(c_Complex_Ocomplex_OComplex,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_b),V_d))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a),V_d)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_b),V_c)))).
% 14.26/14.12 all V_y V_x (hAPP(c_Complex_OIm,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),V_x),V_y))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_Complex_OIm,V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)),hAPP(c_Complex_ORe,V_y)))).
% 14.26/14.12 all V_y V_x (hAPP(c_Complex_ORe,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),V_x),V_y))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_Complex_ORe,V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)),hAPP(c_Complex_OIm,V_y)))).
% 14.26/14.12 all V_l_2 V_xa_2 V_X_2 T_a (class_RealVector_Otopological__space(T_a)-> (c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_xa_2,c_Limits_Ose_quentially)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_l_2)->c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat,V_X_2,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_l_2)),V_xa_2,c_Limits_Ose_quentially)))).
% 14.26/14.12 all V_q V_r V_a (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)-> (V_a=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))-> (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q,c_Groups_Oone__class_Oone(tc_Int_Oint))))).
% 14.26/14.12 all V_q V_r V_a (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)-> (V_a=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))-> (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_a)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_q)))).
% 14.26/14.12 all V_k_2 V_n_2 V_P_2 (hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))<-> (V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)->hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))& (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)-> (all B_i ((exists B_j (c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B_j)&c_Orderings_Oord__class_Oless(tc_Int_Oint,B_j,V_k_2)&V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j)))->hBOOL(hAPP(V_P_2,B_i)))))& (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))-> (all B_i ((exists B_j (c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,B_j)&c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,B_j,c_Groups_Ozero__class_Ozero(tc_Int_Oint))&V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j)))->hBOOL(hAPP(V_P_2,B_i)))))).
% 14.26/14.12 all V_r_1 V_y V_b_1 V_a_1 (V_a_1=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_y)),V_r_1)-> ((c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_1)->c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_1)&c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_1,V_b_1))& (-c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_1)->c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_1,V_r_1)&c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_r_1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))-> (V_b_1!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)->c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_1,V_b_1)=V_y))).
% 14.26/14.12 all V_b V_a (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)-> (c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_b)->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(V_a)),c_RComplete_Onatfloor(V_b)),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a),V_b))))).
% 14.26/14.12 all V_y V_x (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),V_x),V_y)=hAPP(hAPP(c_Complex_Ocomplex_OComplex,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_Complex_ORe,V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)),hAPP(c_Complex_OIm,V_y)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_Complex_OIm,V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)),hAPP(c_Complex_ORe,V_y))))).
% 14.26/14.12 all V_x V_z V_d (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d)->c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_z))),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d)))).
% 14.26/14.12 all V_z V_x V_d (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d)->c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_z))),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d)),V_z)).
% 14.26/14.12 all V_y V_x (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex),V_x),V_y)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),V_x),hAPP(c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex),V_y))).
% 14.26/14.12 all V_k V_n V_m (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_k)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k))).
% 14.26/14.12 all V_n V_m (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)).
% 14.26/14.12 all V_z3 V_z2 V_z1 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_z2)),V_z3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_z3))).
% 14.26/14.12 all V_w V_z (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z)).
% 14.26/14.12 all V_p V_m ((V_m=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m)=c_Groups_Oone__class_Oone(tc_Nat_Onat))& (V_m!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))).
% 14.26/14.12 all V_n V_m ((V_m=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))& (V_m!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)))).
% 14.26/14.12 all V_ya_2 V_xa_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_xa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ya_2),V_ya_2))=c_Groups_Ozero__class_Ozero(T_a)<->V_xa_2=c_Groups_Ozero__class_Ozero(T_a)&V_ya_2=c_Groups_Ozero__class_Ozero(T_a))).
% 14.26/14.12 all V_ya_2 V_xa_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_xa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ya_2),V_ya_2)),c_Groups_Ozero__class_Ozero(T_a))<->V_xa_2=c_Groups_Ozero__class_Ozero(T_a)&V_ya_2=c_Groups_Ozero__class_Ozero(T_a))).
% 14.26/14.12 all V_y V_x T_a (class_Rings_Olinordered__ring(T_a)->c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y)))).
% 14.26/14.12 all V_ya_2 V_xa_2 T_a (class_Rings_Olinordered__ring__strict(T_a)-> (c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_xa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ya_2),V_ya_2)))<->V_xa_2!=c_Groups_Ozero__class_Ozero(T_a)|V_ya_2!=c_Groups_Ozero__class_Ozero(T_a))).
% 14.26/14.12 all V_y V_x T_a (class_Rings_Olinordered__ring(T_a)-> -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y)),c_Groups_Ozero__class_Ozero(T_a))).
% 14.26/14.12 all V_n_2 V_m_2 V_u_2 V_j_2 V_i_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2,V_j_2)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2)))).
% 14.26/14.12 all V_n_2 V_m_2 V_u_2 V_i_2 V_j_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2,V_i_2)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2),V_n_2))).
% 14.26/14.12 all V_n_2 V_m_2 V_k_2 (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)<->V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_m_2=V_n_2).
% 14.26/14.12 all V_k V_j V_u V_i (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_k))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_u)),V_k)).
% 14.26/14.12 all V_n_2 V_m_2 V_k_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)-> (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))<->c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2))).
% 14.26/14.12 all V_n_2 V_m_2 V_k_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)-> (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)<->V_m_2=V_n_2)).
% 14.26/14.12 all V_n V_m V_k ((V_k=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))& (V_k!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n))).
% 14.26/14.12 all V_n_2 V_m_2 V_k_2 (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))<->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2))).
% 14.26/14.12 all V_n_2 V_m_2 V_u_2 V_j_2 V_i_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2,V_j_2)-> (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)<->V_m_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2))).
% 14.26/14.12 all V_n V_m V_u V_j V_i (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_j)->hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_n))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_i)),V_u)),V_n))).
% 14.26/14.12 all V_n_2 V_m_2 V_u_2 V_j_2 V_i_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2,V_j_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))<->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2)))).
% 14.26/14.12 all V_n_2 V_m_2 V_u_2 V_i_2 V_j_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2,V_i_2)-> (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)<->hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)=V_n_2)).
% 14.26/14.12 all V_n V_m V_u V_i V_j (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j,V_i)->hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_n))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_u)),V_m)),V_n)).
% 14.26/14.12 all V_n_2 V_m_2 V_u_2 V_i_2 V_j_2 (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2,V_i_2)-> (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))<->c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2),V_n_2))).
% 14.26/14.12 all V_n V_m V_k (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)->c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n)).
% 14.26/14.12 all V_n V_b (V_b!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)-> (V_n!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)-> (exists B_z c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),V_b),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_z),V_n)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))).
% 14.26/14.12 all V_xa_2 (-c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_xa_2))<->V_xa_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.26/14.12 all V_a V_r (hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r),V_r))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),V_a),V_r)).
% 14.26/14.12 all T_1 (class_Rings_Oidom(T_1)->class_Rings_Oidom(tc_Polynomial_Opoly(T_1))).
% 14.26/14.12 all T_1 (class_Groups_Ocancel__comm__monoid__add(T_1)->class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1))).
% 14.26/14.12 all T_1 (class_Rings_Ocomm__semiring__0(T_1)->class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1))).
% 14.26/14.12 all T_1 (class_Rings_Ocomm__ring__1(T_1)->class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(T_1))).
% 14.26/14.12 all T_1 (class_Rings_Ocomm__ring(T_1)->class_Rings_Ocomm__ring(tc_Polynomial_Opoly(T_1))).
% 14.26/14.12 class_Rings_Oidom(tc_Complex_Ocomplex).
% 14.26/14.12 class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex).
% 14.26/14.12 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex).
% 14.26/14.12 class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex).
% 14.26/14.12 class_Rings_Ocomm__ring(tc_Complex_Ocomplex).
% 14.26/14.12 class_Rings_Oidom(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Ocomm__ring__1(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Ocomm__ring(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat).
% 14.26/14.12 class_Rings_Ocomm__semiring__0(tc_Nat_Onat).
% 14.26/14.12 class_Rings_Oidom(tc_Int_Oint).
% 14.26/14.12 class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint).
% 14.26/14.12 class_Rings_Ocomm__semiring__0(tc_Int_Oint).
% 14.26/14.12 class_Rings_Ocomm__ring__1(tc_Int_Oint).
% 14.26/14.12 class_Rings_Ocomm__ring(tc_Int_Oint).
% 14.26/14.12 all T_2 T_1 (class_Orderings_Opreorder(T_1)->class_Orderings_Opreorder(tc_fun(T_2,T_1))).
% 14.26/14.12 all T_2 T_1 (class_Orderings_Oorder(T_1)->class_Orderings_Oorder(tc_fun(T_2,T_1))).
% 14.26/14.12 all T_2 T_1 (class_Orderings_Oord(T_1)->class_Orderings_Oord(tc_fun(T_2,T_1))).
% 14.26/14.12 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint).
% 14.26/14.12 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint).
% 14.26/14.12 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint).
% 14.26/14.12 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint).
% 14.26/14.12 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint).
% 14.26/14.12 class_Rings_Olinordered__semiring__strict(tc_Int_Oint).
% 14.26/14.12 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint).
% 14.26/14.12 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint).
% 14.26/14.12 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint).
% 14.26/14.12 class_Groups_Olinordered__ab__group__add(tc_Int_Oint).
% 14.26/14.12 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint).
% 14.26/14.12 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint).
% 14.26/14.12 class_Rings_Oordered__cancel__semiring(tc_Int_Oint).
% 14.26/14.12 class_Rings_Olinordered__ring__strict(tc_Int_Oint).
% 14.26/14.12 class_Rings_Oring__no__zero__divisors(tc_Int_Oint).
% 14.26/14.12 class_Rings_Oordered__comm__semiring(tc_Int_Oint).
% 14.26/14.12 class_Rings_Olinordered__semiring__1(tc_Int_Oint).
% 14.26/14.12 class_Groups_Oordered__ab__group__add(tc_Int_Oint).
% 14.26/14.12 class_Groups_Ocancel__semigroup__add(tc_Int_Oint).
% 14.26/14.12 class_Rings_Olinordered__semiring(tc_Int_Oint).
% 14.26/14.12 class_Rings_Olinordered__semidom(tc_Int_Oint).
% 14.26/14.12 class_Groups_Oab__semigroup__mult(tc_Int_Oint).
% 14.26/14.12 class_Groups_Ocomm__monoid__mult(tc_Int_Oint).
% 14.26/14.12 class_Groups_Oab__semigroup__add(tc_Int_Oint).
% 14.26/14.12 class_Rings_Oordered__semiring(tc_Int_Oint).
% 14.26/14.12 class_Rings_Oordered__ring__abs(tc_Int_Oint).
% 14.26/14.12 class_Rings_Ono__zero__divisors(tc_Int_Oint).
% 14.26/14.12 class_Groups_Ocomm__monoid__add(tc_Int_Oint).
% 14.26/14.12 class_Rings_Olinordered__ring(tc_Int_Oint).
% 14.26/14.12 class_Rings_Olinordered__idom(tc_Int_Oint).
% 14.26/14.12 class_Rings_Ocomm__semiring__1(tc_Int_Oint).
% 14.26/14.12 class_Divides_Osemiring__div(tc_Int_Oint).
% 14.26/14.12 class_Rings_Ocomm__semiring(tc_Int_Oint).
% 14.26/14.12 class_Groups_Oab__group__add(tc_Int_Oint).
% 14.26/14.12 class_Rings_Ozero__ne_q__one(tc_Int_Oint).
% 14.26/14.12 class_Rings_Oordered__ring(tc_Int_Oint).
% 14.26/14.12 class_Orderings_Opreorder(tc_Int_Oint).
% 14.26/14.12 class_Orderings_Olinorder(tc_Int_Oint).
% 14.26/14.12 class_Groups_Omonoid__mult(tc_Int_Oint).
% 14.26/14.12 class_Groups_Omonoid__add(tc_Int_Oint).
% 14.26/14.12 class_Rings_Osemiring__0(tc_Int_Oint).
% 14.26/14.12 class_Groups_Ogroup__add(tc_Int_Oint).
% 14.26/14.12 class_Rings_Omult__zero(tc_Int_Oint).
% 14.26/14.12 class_Orderings_Oorder(tc_Int_Oint).
% 14.26/14.12 class_Rings_Osemiring(tc_Int_Oint).
% 14.26/14.12 class_Orderings_Oord(tc_Int_Oint).
% 14.26/14.12 class_Rings_Oring__1(tc_Int_Oint).
% 14.26/14.12 class_Power_Opower(tc_Int_Oint).
% 14.26/14.12 class_Groups_Ozero(tc_Int_Oint).
% 14.26/14.12 class_Rings_Oring(tc_Int_Oint).
% 14.26/14.12 class_Groups_Oone(tc_Int_Oint).
% 14.26/14.12 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat).
% 14.26/14.12 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat).
% 14.26/14.12 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat).
% 14.26/14.12 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat).
% 14.26/14.12 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat).
% 14.26/14.12 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat).
% 14.26/14.12 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat).
% 14.26/14.12 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat).
% 14.26/14.12 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat).
% 14.26/14.12 class_Rings_Oordered__comm__semiring(tc_Nat_Onat).
% 14.26/14.12 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat).
% 14.26/14.12 class_Rings_Olinordered__semiring(tc_Nat_Onat).
% 14.26/14.12 class_Rings_Olinordered__semidom(tc_Nat_Onat).
% 14.26/14.12 class_Groups_Oab__semigroup__mult(tc_Nat_Onat).
% 14.26/14.12 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat).
% 14.26/14.12 class_Groups_Oab__semigroup__add(tc_Nat_Onat).
% 14.26/14.12 class_Rings_Oordered__semiring(tc_Nat_Onat).
% 14.26/14.12 class_Rings_Ono__zero__divisors(tc_Nat_Onat).
% 14.26/14.12 class_Groups_Ocomm__monoid__add(tc_Nat_Onat).
% 14.26/14.12 class_Rings_Ocomm__semiring__1(tc_Nat_Onat).
% 14.26/14.12 class_Divides_Osemiring__div(tc_Nat_Onat).
% 14.26/14.12 class_Rings_Ocomm__semiring(tc_Nat_Onat).
% 14.26/14.12 class_Rings_Ozero__ne_q__one(tc_Nat_Onat).
% 14.26/14.12 class_Orderings_Opreorder(tc_Nat_Onat).
% 14.26/14.12 class_Orderings_Olinorder(tc_Nat_Onat).
% 14.26/14.12 class_Groups_Omonoid__mult(tc_Nat_Onat).
% 14.26/14.12 class_Groups_Omonoid__add(tc_Nat_Onat).
% 14.26/14.12 class_Rings_Osemiring__0(tc_Nat_Onat).
% 14.26/14.12 class_Rings_Omult__zero(tc_Nat_Onat).
% 14.26/14.12 class_Orderings_Oorder(tc_Nat_Onat).
% 14.26/14.12 class_Rings_Osemiring(tc_Nat_Onat).
% 14.26/14.12 class_Orderings_Oord(tc_Nat_Onat).
% 14.26/14.12 class_Power_Opower(tc_Nat_Onat).
% 14.26/14.12 class_Groups_Ozero(tc_Nat_Onat).
% 14.26/14.12 class_Groups_Oone(tc_Nat_Onat).
% 14.26/14.12 class_Orderings_Opreorder(tc_HOL_Obool).
% 14.26/14.12 class_Orderings_Oorder(tc_HOL_Obool).
% 14.26/14.12 class_Orderings_Oord(tc_HOL_Obool).
% 14.26/14.12 all T_1 class_Orderings_Opreorder(tc_Limits_Onet(T_1)).
% 14.26/14.12 all T_1 class_Orderings_Oorder(tc_Limits_Onet(T_1)).
% 14.26/14.12 all T_1 class_Orderings_Oord(tc_Limits_Onet(T_1)).
% 14.26/14.12 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal).
% 14.26/14.12 class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal).
% 14.26/14.12 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal).
% 14.26/14.12 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal).
% 14.26/14.12 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal).
% 14.26/14.12 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal).
% 14.26/14.12 class_RealVector_Otopological__space(tc_RealDef_Oreal).
% 14.26/14.12 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Olinordered__semiring(tc_RealDef_Oreal).
% 14.26/14.12 class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Olinordered__semidom(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal).
% 14.26/14.12 class_RealVector_Ometric__space(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Oab__semigroup__add(tc_RealDef_Oreal).
% 14.26/14.12 class_Fields_Olinordered__field(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Oordered__semiring(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Oordered__ring__abs(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Ono__zero__divisors(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Olinordered__ring(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Olinordered__idom(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal).
% 14.26/14.12 class_RealVector_Oreal__field(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Odivision__ring(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Ocomm__semiring(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Oab__group__add(tc_RealDef_Oreal).
% 14.26/14.12 class_SEQ_Ocomplete__space(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Ozero__ne_q__one(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Oordered__ring(tc_RealDef_Oreal).
% 14.26/14.12 class_Orderings_Opreorder(tc_RealDef_Oreal).
% 14.26/14.12 class_Orderings_Olinorder(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Omonoid__mult(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Omonoid__add(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Osemiring__0(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Ogroup__add(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Omult__zero(tc_RealDef_Oreal).
% 14.26/14.12 class_Orderings_Oorder(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Osemiring(tc_RealDef_Oreal).
% 14.26/14.12 class_Orderings_Oord(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Oring__1(tc_RealDef_Oreal).
% 14.26/14.12 class_Fields_Ofield(tc_RealDef_Oreal).
% 14.26/14.12 class_Power_Opower(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Ozero(tc_RealDef_Oreal).
% 14.26/14.12 class_Rings_Oring(tc_RealDef_Oreal).
% 14.26/14.12 class_Groups_Oone(tc_RealDef_Oreal).
% 14.26/14.12 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex).
% 14.26/14.12 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex).
% 14.26/14.12 class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex).
% 14.26/14.12 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex).
% 14.26/14.12 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex).
% 14.26/14.12 class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex).
% 14.26/14.12 class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex).
% 14.26/14.12 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex).
% 14.26/14.12 class_RealVector_Otopological__space(tc_Complex_Ocomplex).
% 14.26/14.12 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex).
% 14.26/14.12 class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex).
% 14.26/14.12 class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex).
% 14.26/14.12 class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex).
% 14.26/14.12 class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex).
% 14.26/14.12 class_RealVector_Ometric__space(tc_Complex_Ocomplex).
% 14.26/14.12 class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex).
% 14.26/14.12 class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex).
% 14.26/14.12 class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex).
% 14.26/14.12 class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex).
% 14.26/14.12 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex).
% 14.26/14.12 class_RealVector_Oreal__field(tc_Complex_Ocomplex).
% 14.26/14.12 class_Rings_Odivision__ring(tc_Complex_Ocomplex).
% 14.26/14.12 class_Rings_Ocomm__semiring(tc_Complex_Ocomplex).
% 14.26/14.12 class_Groups_Oab__group__add(tc_Complex_Ocomplex).
% 14.26/14.12 class_SEQ_Ocomplete__space(tc_Complex_Ocomplex).
% 14.26/14.12 class_Rings_Ozero__ne_q__one(tc_Complex_Ocomplex).
% 14.26/14.12 class_Groups_Omonoid__mult(tc_Complex_Ocomplex).
% 14.26/14.12 class_Groups_Omonoid__add(tc_Complex_Ocomplex).
% 14.26/14.12 class_Rings_Osemiring__0(tc_Complex_Ocomplex).
% 14.26/14.12 class_Groups_Ogroup__add(tc_Complex_Ocomplex).
% 14.26/14.12 class_Rings_Omult__zero(tc_Complex_Ocomplex).
% 14.26/14.12 class_Rings_Osemiring(tc_Complex_Ocomplex).
% 14.26/14.12 class_Rings_Oring__1(tc_Complex_Ocomplex).
% 14.26/14.12 class_Fields_Ofield(tc_Complex_Ocomplex).
% 14.26/14.12 class_Power_Opower(tc_Complex_Ocomplex).
% 14.26/14.12 class_Groups_Ozero(tc_Complex_Ocomplex).
% 14.26/14.12 class_Rings_Oring(tc_Complex_Ocomplex).
% 14.26/14.12 class_Groups_Oone(tc_Complex_Ocomplex).
% 14.26/14.12 all T_1 (class_Rings_Oidom(T_1)->class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(T_1))).
% 14.26/14.12 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))).
% 14.26/14.12 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1))).
% 14.26/14.12 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1))).
% 14.26/14.12 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(T_1))).
% 14.26/14.12 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(T_1))).
% 14.26/14.12 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1))).
% 14.26/14.12 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1))).
% 14.26/14.12 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Groups_Ocancel__comm__monoid__add(T_1)->class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Oidom(T_1)->class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Oidom(T_1)->class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Groups_Ocancel__comm__monoid__add(T_1)->class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Ocomm__semiring__0(T_1)->class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Ocomm__semiring__1(T_1)->class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Groups_Ocomm__monoid__add(T_1)->class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Rings_Oordered__semiring(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Oidom(T_1)->class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Groups_Ocomm__monoid__add(T_1)->class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Rings_Olinordered__ring(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Rings_Olinordered__idom(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Ocomm__semiring__1(T_1)->class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Fields_Ofield(T_1)->class_Divides_Osemiring__div(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Ocomm__semiring__0(T_1)->class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Groups_Oab__group__add(T_1)->class_Groups_Oab__group__add(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Ocomm__semiring__1(T_1)->class_Rings_Ozero__ne_q__one(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Rings_Oordered__ring(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Ocomm__semiring__1(T_1)->class_Groups_Omonoid__mult(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Groups_Ocomm__monoid__add(T_1)->class_Groups_Omonoid__add(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Ocomm__semiring__0(T_1)->class_Rings_Osemiring__0(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Groups_Oab__group__add(T_1)->class_Groups_Ogroup__add(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Ocomm__semiring__0(T_1)->class_Rings_Omult__zero(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Orderings_Oorder(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Ocomm__semiring__0(T_1)->class_Rings_Osemiring(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Olinordered__idom(T_1)->class_Orderings_Oord(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Ocomm__ring__1(T_1)->class_Rings_Oring__1(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Ocomm__semiring__1(T_1)->class_Power_Opower(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Groups_Ozero(T_1)->class_Groups_Ozero(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Ocomm__ring(T_1)->class_Rings_Oring(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all T_1 (class_Rings_Ocomm__semiring__1(T_1)->class_Groups_Oone(tc_Polynomial_Opoly(T_1))).
% 14.26/14.13 all V_Q V_P T_b T_a (hAPP(c_COMBK(T_a,T_b,V_P),V_Q)=V_P).
% 14.26/14.13 all V_R_2 V_Q_2 V_P_2 T_c T_a T_b (hAPP(c_COMBB(T_b,T_a,T_c,V_P_2,V_Q_2),V_R_2)=hAPP(V_P_2,hAPP(V_Q_2,V_R_2))).
% 14.26/14.13 all V_R_2 V_Q_2 V_P_2 T_a T_c T_b (hAPP(c_COMBC(T_b,T_c,T_a,V_P_2,V_Q_2),V_R_2)=hAPP(hAPP(V_P_2,V_R_2),V_Q_2)).
% 14.26/14.13 all V_R_2 V_Q_2 V_P_2 T_a T_c T_b (hAPP(c_COMBS(T_b,T_c,T_a,V_P_2,V_Q_2),V_R_2)=hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2))).
% 14.26/14.13 -(exists B_f (c_SEQ_Osubse_q(B_f)& (exists B_z all B_e (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_e)-> (exists B_N all B_n (c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_N,B_n)->c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(B_f,B_n))),B_z)),B_e))))))).
% 14.26/14.13 end_of_list.
% 14.26/14.13
% 14.26/14.13 -------> usable clausifies to:
% 14.26/14.13
% 14.26/14.13 list(usable).
% 14.26/14.13 0 [] A=A.
% 14.26/14.13 0 [] hAPP(V_fa_2,$f1(V_gb_2,V_fa_2))!=hAPP(V_gb_2,$f1(V_gb_2,V_fa_2))|V_fa_2=V_gb_2.
% 14.26/14.13 0 [] c_SEQ_Osubse_q(v_ga____).
% 14.26/14.13 0 [] c_SEQ_Osubse_q(v_f____).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_xa_2))|V_xa_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_xa_2))|V_xa_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hAPP(c_RealVector_Onorm__class_Onorm(T_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_xa_2)!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_xa_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_xa_2)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_xa_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(v_s,B_n)),v_r).
% 14.26/14.13 0 [] -class_Orderings_Opreorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_x).
% 14.26/14.13 0 [] -c_SEQ_Osubse_q(V_fa_2)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n_2,hAPP(V_fa_2,V_n_2)).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b))=hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a)).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add(T_a)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)!=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c_2),V_d_2)| -c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,V_d_2).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add(T_a)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)!=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c_2),V_d_2)|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,V_d_2).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add(T_a)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)!=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c_2),V_d_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2,V_d_2).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add(T_a)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)!=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c_2),V_d_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2,V_d_2).
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_r).
% 14.26/14.13 0 [] c_SEQ_Osubse_q(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)).
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),v_r).
% 14.26/14.13 0 [] -c_SEQ_Osubse_q(V_fa_2)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_m,B_n)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(V_fa_2,B_m),hAPP(V_fa_2,B_n)).
% 14.26/14.13 0 [] c_SEQ_Osubse_q(V_fa_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,$f3(V_fa_2),$f2(V_fa_2)).
% 14.26/14.13 0 [] c_SEQ_Osubse_q(V_fa_2)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(V_fa_2,$f3(V_fa_2)),hAPP(V_fa_2,$f2(V_fa_2))).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_b)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b))).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x)).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_xa_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|V_xa_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_xa_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|V_xa_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_Groups_Ozero(T_a)|c_Groups_Ozero__class_Ozero(T_a)!=V_xa_2|V_xa_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_Groups_Ozero(T_a)|c_Groups_Ozero__class_Ozero(T_a)=V_xa_2|V_xa_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x).
% 14.26/14.13 0 [] -class_Orderings_Oord(T_b)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_fa_2,V_gb_2)|c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_fa_2,V_xa_2),hAPP(V_gb_2,V_xa_2)).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_z,V_y)|c_Orderings_Oord__class_Oless__e_q(T_a,V_z,V_x).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|V_x=V_y.
% 14.26/14.13 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_z)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_z).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)|V_x=V_y.
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)|V_b!=V_c|c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_a).
% 14.26/14.13 0 [] -class_Orderings_Oord(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)|V_b!=V_c|c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_c).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)|V_a!=V_b| -c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_b)|c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_a).
% 14.26/14.13 0 [] -class_Orderings_Oord(T_a)|V_a!=V_b| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_c)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_c).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|V_xa_2=V_ya_2.
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|V_xa_2!=V_ya_2.
% 14.26/14.13 0 [] -class_Orderings_Oord(T_b)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_fa_2,V_gb_2)|c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_fa_2,V_xa_2),hAPP(V_gb_2,V_xa_2)).
% 14.26/14.13 0 [] -class_Orderings_Opreorder(T_a)|V_x!=V_y|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)|V_xa_2!=V_ya_2|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)|V_xa_2!=V_ya_2|c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)|V_xa_2=V_ya_2| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2).
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x).
% 14.26/14.13 0 [] -class_Orderings_Oord(T_b)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_fa_2,V_gb_2)|c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_fa_2,B_x),hAPP(V_gb_2,B_x)).
% 14.26/14.13 0 [] -class_Orderings_Oord(T_b)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_fa_2,V_gb_2)| -c_Orderings_Oord__class_Oless__e_q(T_b,hAPP(V_fa_2,$f4(V_gb_2,V_fa_2,T_a,T_b)),hAPP(V_gb_2,$f4(V_gb_2,V_fa_2,T_a,T_b))).
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x=V_y|c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 14.26/14.13 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_x)| -c_Orderings_Oord__class_Oless(T_a,V_z,V_y)|c_Orderings_Oord__class_Oless(T_a,V_z,V_x).
% 14.26/14.13 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_z)|c_Orderings_Oord__class_Oless(T_a,V_x,V_z).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,V_a)|V_b!=V_c|c_Orderings_Oord__class_Oless(T_a,V_c,V_a).
% 14.26/14.13 0 [] -class_Orderings_Oord(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)|V_b!=V_c|c_Orderings_Oord__class_Oless(T_a,V_a,V_c).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)|V_a!=V_b| -c_Orderings_Oord__class_Oless(T_a,V_c,V_b)|c_Orderings_Oord__class_Oless(T_a,V_c,V_a).
% 14.26/14.13 0 [] -class_Orderings_Oord(T_a)|V_a!=V_b| -c_Orderings_Oord__class_Oless(T_a,V_b,V_c)|c_Orderings_Oord__class_Oless(T_a,V_a,V_c).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,V_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 14.26/14.13 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,V_b,V_a).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_y!=V_x.
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x!=V_y.
% 14.26/14.13 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 14.26/14.13 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x!=V_y.
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)|V_x=V_y|c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2)|c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|V_xa_2=V_ya_2.
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|V_xa_2!=V_ya_2.
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x=V_y|c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2)|V_xa_2=V_ya_2.
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2).
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|V_xa_2!=V_ya_2.
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)|V_xa_2=V_ya_2|c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2).
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)|V_xa_2!=V_ya_2| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2).
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)|V_xa_2!=V_ya_2| -c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2).
% 14.26/14.13 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_x).
% 14.26/14.13 0 [] -class_Groups_Oab__group__add(T_a)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)!=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c_2),V_d_2)|V_a_2!=V_b_2|V_c_2=V_d_2.
% 14.26/14.13 0 [] -class_Groups_Oab__group__add(T_a)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)!=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c_2),V_d_2)|V_a_2=V_b_2|V_c_2!=V_d_2.
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)| -c_Orderings_Oord__class_Oless(T_a,V_z,V_y)|c_Orderings_Oord__class_Oless(T_a,V_z,V_x).
% 14.26/14.13 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_z)|c_Orderings_Oord__class_Oless(T_a,V_x,V_z).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_x)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_z,V_y)|c_Orderings_Oord__class_Oless(T_a,V_z,V_x).
% 14.26/14.13 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_z)|c_Orderings_Oord__class_Oless(T_a,V_x,V_z).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)|V_a=V_b|c_Orderings_Oord__class_Oless(T_a,V_b,V_a).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)|V_a=V_b|c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|V_x=V_y.
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|V_xa_2=V_ya_2.
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|V_xa_2!=V_ya_2.
% 14.26/14.13 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y).
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)|V_a=V_b| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)|c_Orderings_Oord__class_Oless(T_a,V_b,V_a).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)|V_a=V_b| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)|c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|V_xa_2=V_ya_2.
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|V_xa_2!=V_ya_2.
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x)|c_Orderings_Oord__class_Oless(T_a,V_x,V_y).
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_x).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|V_xa_2=V_ya_2.
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|V_xa_2!=V_ya_2.
% 14.26/14.13 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2).
% 14.26/14.13 0 [] -class_Orderings_Opreorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2).
% 14.26/14.13 0 [] -class_Orderings_Opreorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|V_xa_2!=V_ya_2.
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|V_xa_2=V_ya_2.
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2).
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless(T_a,V_ya_2,V_xa_2).
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)|c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2).
% 14.26/14.13 0 [] -class_Orderings_Olinorder(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_ya_2,V_xa_2).
% 14.26/14.13 0 [] -class_Groups_Ogroup__add(T_a)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=V_b_2.
% 14.26/14.13 0 [] -class_Groups_Ogroup__add(T_a)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)=c_Groups_Ozero__class_Ozero(T_a)|V_a_2!=V_b_2.
% 14.26/14.13 0 [] -class_Groups_Oab__group__add(T_a)|V_a_2!=V_b_2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_Groups_Oab__group__add(T_a)|V_a_2=V_b_2|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_Groups_Ogroup__add(T_a)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a)=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_Groups_Ogroup__add(T_a)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=V_a.
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_ya_2)|V_xa_2=V_ya_2.
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_ya_2).
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_ya_2)|V_xa_2!=V_ya_2.
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_ya_2).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_ya_2)|V_xa_2!=V_ya_2.
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_ya_2)|V_xa_2=V_ya_2.
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_ya_2)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),V_xa_2),V_ya_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_ya_2)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),V_xa_2),V_ya_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_SEQ_Odecse_q(T_a,V_X_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_m,B_n)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(V_X_2,B_n),hAPP(V_X_2,B_m)).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)|c_SEQ_Odecse_q(T_a,V_X_2)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,$f6(V_X_2,T_a),$f5(V_X_2,T_a)).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)|c_SEQ_Odecse_q(T_a,V_X_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(V_X_2,$f5(V_X_2,T_a)),hAPP(V_X_2,$f6(V_X_2,T_a))).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_SEQ_OBse_q(T_a,V_X_2)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),$f7(V_X_2,T_a)).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_SEQ_OBse_q(T_a,V_X_2)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(V_X_2,B_n)),$f7(V_X_2,T_a)).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_SEQ_OBse_q(T_a,V_X_2)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(V_X_2,$f8(V_X_2,T_a,B_K))),B_K).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_SEQ_Oincse_q(T_a,V_X_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_m,B_n)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(V_X_2,B_m),hAPP(V_X_2,B_n)).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)|c_SEQ_Oincse_q(T_a,V_X_2)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,$f10(V_X_2,T_a),$f9(V_X_2,T_a)).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)|c_SEQ_Oincse_q(T_a,V_X_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(V_X_2,$f10(V_X_2,T_a)),hAPP(V_X_2,$f9(V_X_2,T_a))).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_e_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,$f11(V_e_2),B_n)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),B_n))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),V_e_2).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_SEQ_Omonose_q(T_a,V_X_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_m,B_n)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(V_X_2,B_m),hAPP(V_X_2,B_n))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,X1,X2)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(V_X_2,X2),hAPP(V_X_2,X1)).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)|c_SEQ_Omonose_q(T_a,V_X_2)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,$f13(V_X_2,T_a),$f12(V_X_2,T_a)).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)|c_SEQ_Omonose_q(T_a,V_X_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(V_X_2,$f13(V_X_2,T_a)),hAPP(V_X_2,$f12(V_X_2,T_a))).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)|c_SEQ_Omonose_q(T_a,V_X_2)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,$f15(V_X_2,T_a),$f14(V_X_2,T_a)).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)|c_SEQ_Omonose_q(T_a,V_X_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(V_X_2,$f14(V_X_2,T_a)),hAPP(V_X_2,$f15(V_X_2,T_a))).
% 14.26/14.13 0 [] hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.13 0 [] hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a,V_b)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_c,V_a)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a),V_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_b),V_c)).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n).
% 14.26/14.13 0 [] V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2).
% 14.26/14.13 0 [] V_n_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2).
% 14.26/14.13 0 [] V_m_2=V_n_2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2).
% 14.26/14.13 0 [] V_m_2!=V_n_2| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.13 0 [] V_m_2!=V_n_2| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2).
% 14.26/14.13 0 [] hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_m_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_m_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.13 0 [] hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=V_m.
% 14.26/14.13 0 [] hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.13 0 [] -class_Orderings_Oord(T_b)| -c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_fa_2,V_gb_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_fa_2,V_gb_2).
% 14.26/14.13 0 [] -class_Orderings_Oord(T_b)| -c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_fa_2,V_gb_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_gb_2,V_fa_2).
% 14.26/14.13 0 [] -class_Orderings_Oord(T_b)|c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_fa_2,V_gb_2)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_fa_2,V_gb_2)|c_Orderings_Oord__class_Oless__e_q(tc_fun(T_a,T_b),V_gb_2,V_fa_2).
% 14.26/14.13 0 [] hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_k)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_k)),V_j).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_SEQ_Odecse_q(T_a,V_X_2)|c_SEQ_Omonose_q(T_a,V_X_2).
% 14.26/14.13 0 [] -class_Orderings_Oorder(T_a)| -c_SEQ_Oincse_q(T_a,V_X_2)|c_SEQ_Omonose_q(T_a,V_X_2).
% 14.26/14.13 0 [] V_x=V_y|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_y,V_x).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_m).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|V_n!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m)|V_m!=V_n.
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s,V_t)|V_s!=V_t.
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_n),V_k).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_l)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m)).
% 14.26/14.13 0 [] hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_m=V_n.
% 14.26/14.13 0 [] V_n=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n).
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)|V_m_2=V_n_2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)|hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_z,V_w)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_w,V_z)|V_z=V_w.
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_i,V_j)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_j,V_k)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_i,V_k).
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_z,V_w)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_w,V_z).
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_w,V_w).
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_n).
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_m).
% 14.26/14.13 0 [] V_m!=V_n|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_j)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j,V_k)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_k).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_m)|V_m=V_n.
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|V_n_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)|V_m_2!=V_n_2.
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2)|V_m_2=V_n_2.
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2)|V_m_2=V_n_2.
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2)|V_m_2!=V_n_2.
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)|V_m=V_n|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n).
% 14.26/14.13 0 [] V_m!=V_n|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n).
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_m).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m)).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_l),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_l)).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_n)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_i))=V_i.
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_m_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_n_2)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)!=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2)|V_m_2=V_n_2.
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_m_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_n_2)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2)|V_m_2!=V_n_2.
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_m)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_n)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_k))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_m_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_n_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2))|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_m_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_n_2)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_m_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_n_2)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_m_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_n_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.13 0 [] hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_a),V_b)),hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_c),V_d))=hAPP(hAPP(c_Complex_Ocomplex_OComplex,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),V_a),V_c)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),V_b),V_d)).
% 14.26/14.13 0 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_a_2),V_b_2)!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|V_a_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.13 0 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_a_2),V_b_2)!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|V_b_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.13 0 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_a_2),V_b_2)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|V_a_2!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_b_2!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.13 0 [] c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=hAPP(hAPP(c_Complex_Ocomplex_OComplex,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x,V_y).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_SEQ_OBse_q(T_a,V_X_2)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),$f16(V_X_2,T_a)).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_SEQ_OBse_q(T_a,V_X_2)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(V_X_2,B_n)),$f16(V_X_2,T_a)).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_K_2)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(V_X_2,$f17(V_X_2,V_K_2,T_a))),V_K_2)|c_SEQ_OBse_q(T_a,V_X_2).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_N_2,$f18(V_K_2,V_X_2,V_N_2,T_a))|c_SEQ_OBse_q(T_a,V_X_2).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(V_X_2,$f18(V_K_2,V_X_2,V_N_2,T_a))),V_K_2)|c_SEQ_OBse_q(T_a,V_X_2).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_r)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,$f19(B_r),B_n)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,B_n))))),v_y____)),B_r).
% 14.26/14.13 0 [] -class_Groups_Ozero(T_a)|c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(T_a,V_p_2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_p_2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 14.26/14.13 0 [] -class_Groups_Ozero(T_a)|c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(T_a,V_p_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_p_2!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 14.26/14.13 0 [] c_Complex_Ocomplex_Ocomplex__size(hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_real1),V_real2))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.13 0 [] hAPP(c_Complex_OIm,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)|hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))=hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a).
% 14.26/14.13 0 [] hAPP(c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal),V_r)=hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_r).
% 14.26/14.13 0 [] hAPP(c_Complex_OIm,hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_x),V_y))=V_y.
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)),hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),V_x)).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)|hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)|hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)=c_Groups_Ozero__class_Ozero(T_a)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)|hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a),V_b)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)|hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b))=hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a)).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)|hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a))=hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a).
% 14.26/14.13 0 [] hAPP(c_Complex_OIm,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),V_x),V_y))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)),hAPP(c_Complex_OIm,V_y)).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)|hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)=V_a.
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))|V_a_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)|hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)=V_a.
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2))|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2))|V_a_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a))).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b))).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b))).
% 14.26/14.13 0 [] hAPP(V_fa_2,hAPP(V_gb_2,V_xa_2))!=hAPP(V_f_H_2,hAPP(V_g_H_2,V_x_H_2))|hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_fa_2,V_gb_2),V_xa_2)=hAPP(c_Fun_Ocomp(T_d,T_a,T_e,V_f_H_2,V_g_H_2),V_x_H_2).
% 14.26/14.13 0 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_real1_2),V_real2_2)!=hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_real1_H_2),V_real2_H_2)|V_real1_2=V_real1_H_2.
% 14.26/14.13 0 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_real1_2),V_real2_2)!=hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_real1_H_2),V_real2_H_2)|V_real2_2=V_real2_H_2.
% 14.26/14.13 0 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_real1_2),V_real2_2)=hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_real1_H_2),V_real2_H_2)|V_real1_2!=V_real1_H_2|V_real2_2!=V_real2_H_2.
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_b))),hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b))).
% 14.26/14.13 0 [] c_Nat_Osize__class_Osize(tc_Complex_Ocomplex,hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_real1),V_real2))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_r)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,$f20(B_r),B_n)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,hAPP(v_s,hAPP(v_f____,B_n)))),v_x____)),B_r).
% 14.26/14.13 0 [] c_Complex_Ocomplex_Ocomplex__rec(T_a,V_f1_2,hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_real1_2),V_real2_2))=hAPP(hAPP(V_f1_2,V_real1_2),V_real2_2).
% 14.26/14.13 0 [] c_Complex_Ocomplex_Ocomplex__case(T_a,V_f1_2,hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_real1_2),V_real2_2))=hAPP(hAPP(V_f1_2,V_real1_2),V_real2_2).
% 14.26/14.13 0 [] c_SEQ_Omonose_q(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))).
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(c_Complex_OIm,hAPP(v_s,B_n))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,V_x)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_b)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),$f21(V_b,V_x,V_a)).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,V_x)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_b)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),V_x),B_y)),$f21(V_b,V_x,V_a))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_a,B_y).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,V_x)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_b)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),V_x),B_y)),$f21(V_b,V_x,V_a))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B_y,V_b).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(V_X_2,$f22(V_K_2,V_X_2,T_a))),V_K_2)|c_SEQ_OBse_q(T_a,V_X_2).
% 14.26/14.13 0 [] c_SEQ_Omonose_q(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____))).
% 14.26/14.13 0 [] -class_Groups_Oab__group__add(T_a)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c),V_d)).
% 14.26/14.13 0 [] -class_Groups_Oone(T_a)|c_Groups_Oone__class_Oone(T_a)!=V_xa_2|V_xa_2=c_Groups_Oone__class_Oone(T_a).
% 14.26/14.13 0 [] -class_Groups_Oone(T_a)|c_Groups_Oone__class_Oone(T_a)=V_xa_2|V_xa_2!=c_Groups_Oone__class_Oone(T_a).
% 14.26/14.13 0 [] -class_Groups_Oab__semigroup__add(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)).
% 14.26/14.13 0 [] -class_Groups_Ocancel__semigroup__add(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_c_2)|V_b_2=V_c_2.
% 14.26/14.13 0 [] -class_Groups_Ocancel__semigroup__add(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_c_2)|V_b_2!=V_c_2.
% 14.26/14.13 0 [] -class_Groups_Ocancel__semigroup__add(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_a_2)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c_2),V_a_2)|V_b_2=V_c_2.
% 14.26/14.13 0 [] -class_Groups_Ocancel__semigroup__add(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_a_2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c_2),V_a_2)|V_b_2!=V_c_2.
% 14.26/14.13 0 [] -class_Groups_Ocancel__semigroup__add(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)|V_b=V_c.
% 14.26/14.13 0 [] -class_Groups_Ocancel__ab__semigroup__add(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)|V_b=V_c.
% 14.26/14.13 0 [] -class_Groups_Ocancel__semigroup__add(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)|V_b=V_c.
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__algebra__1(T_a)|hAPP(c_RealVector_Onorm__class_Onorm(T_a),c_Groups_Oone__class_Oone(T_a))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_y))).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x),V_r)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_y),V_s)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_r),V_s)).
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_x)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_x).
% 14.26/14.13 0 [] -class_Groups_Omonoid__add(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)=V_a.
% 14.26/14.13 0 [] -class_Groups_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)=V_a.
% 14.26/14.13 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|c_Groups_Ozero__class_Ozero(T_a)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)|V_a_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|c_Groups_Ozero__class_Ozero(T_a)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_Groups_Omonoid__add(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=V_a.
% 14.26/14.13 0 [] -class_Groups_Ocomm__monoid__add(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=V_a.
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_c_2))|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_c_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c_2),V_b_2))|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c_2),V_b_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__semigroup__add(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__semigroup__add(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b)).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__semigroup__add(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_d)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d)).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))|c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))|c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c_2),V_b_2))|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c_2),V_b_2))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2).
% 14.26/14.13 0 [] -class_Groups_Oordered__cancel__ab__semigroup__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)).
% 14.26/14.13 0 [] -class_Groups_Oordered__cancel__ab__semigroup__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b)).
% 14.26/14.13 0 [] -class_Groups_Oordered__cancel__ab__semigroup__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,V_c,V_d)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d)).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))|c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))|c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 14.26/14.13 0 [] -class_Groups_Ogroup__add(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),V_b)=V_a.
% 14.26/14.13 0 [] -class_Groups_Ogroup__add(T_a)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_b)=V_a.
% 14.26/14.13 0 [] hAPP(c_Complex_ORe,V_x)!=hAPP(c_Complex_ORe,V_y)|hAPP(c_Complex_OIm,V_x)!=hAPP(c_Complex_OIm,V_y)|V_x=V_y.
% 14.26/14.13 0 [] V_xa_2!=V_ya_2|hAPP(c_Complex_ORe,V_xa_2)=hAPP(c_Complex_ORe,V_ya_2).
% 14.26/14.13 0 [] V_xa_2!=V_ya_2|hAPP(c_Complex_OIm,V_xa_2)=hAPP(c_Complex_OIm,V_ya_2).
% 14.26/14.13 0 [] V_xa_2=V_ya_2|hAPP(c_Complex_ORe,V_xa_2)!=hAPP(c_Complex_ORe,V_ya_2)|hAPP(c_Complex_OIm,V_xa_2)!=hAPP(c_Complex_OIm,V_ya_2).
% 14.26/14.13 0 [] hAPP(c_Complex_ORe,hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_x),V_y))=V_x.
% 14.26/14.13 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x,V_y)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_z),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_z),V_y)).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)|hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)).
% 14.26/14.13 0 [] c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_c))),hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_d)))).
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_x))).
% 14.26/14.13 0 [] -class_Groups_Olinordered__ab__group__add(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 14.26/14.13 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 14.26/14.13 0 [] -class_Groups_Olinordered__ab__group__add(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.13 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2),c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.13 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)).
% 14.26/14.13 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_xa_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ya_2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_xa_2),V_ya_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_xa_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_xa_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ya_2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_xa_2),V_ya_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_ya_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_xa_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ya_2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_xa_2),V_ya_2)=c_Groups_Ozero__class_Ozero(T_a)|V_xa_2!=c_Groups_Ozero__class_Ozero(T_a)|V_ya_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.13 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_c)|c_Orderings_Oord__class_Oless__e_q(T_a,V_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)).
% 14.26/14.13 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)).
% 14.26/14.13 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.13 0 [] -class_Groups_Olinordered__ab__group__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 14.26/14.13 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 14.26/14.13 0 [] -class_Groups_Olinordered__ab__group__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.13 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2),c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.13 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)).
% 14.26/14.13 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.13 0 [] -class_Groups_Oordered__cancel__ab__semigroup__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_d)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d)).
% 14.26/14.13 0 [] -class_Groups_Oordered__cancel__ab__semigroup__add(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,V_c,V_d)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d)).
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_Complex_ORe,V_x),hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),V_x)).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))).
% 14.26/14.13 0 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,hAPP(c_Complex_ORe,V_z)),hAPP(c_Complex_OIm,V_z))=V_z.
% 14.26/14.13 0 [] hAPP(c_Complex_ORe,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.13 0 [] hAPP(c_Complex_ORe,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),V_x),V_y))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_Complex_ORe,V_y)).
% 14.26/14.13 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)).
% 14.26/14.13 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)).
% 14.26/14.13 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_c)|c_Orderings_Oord__class_Oless(T_a,V_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)).
% 14.26/14.13 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,V_c)|c_Orderings_Oord__class_Oless(T_a,V_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)).
% 14.26/14.13 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.13 0 [] -class_Groups_Oordered__comm__monoid__add(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),V_x)).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))).
% 14.26/14.13 0 [] -class_Groups_Oordered__ab__group__add__abs(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_c))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_d)))).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_b))).
% 14.26/14.13 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),V_x),V_y)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_Complex_ORe,V_y)))),hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)),hAPP(c_Complex_OIm,V_y))))).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_b)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))).
% 14.26/14.13 0 [] c_SEQ_Osubse_q($c1).
% 14.26/14.13 0 [] c_SEQ_Omonose_q(tc_RealDef_Oreal,c_COMBB(tc_Nat_Onat,tc_RealDef_Oreal,tc_Nat_Onat,c_Fun_Ocomp(tc_Nat_Onat,tc_RealDef_Oreal,tc_Nat_Onat,c_Fun_Ocomp(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,v_s),v_f____),$c1)).
% 14.26/14.13 0 [] c_SEQ_Osubse_q($c2).
% 14.26/14.13 0 [] c_SEQ_Omonose_q(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,$c2)))).
% 14.26/14.13 0 [] c_SEQ_Osubse_q($c3).
% 14.26/14.13 0 [] c_SEQ_Omonose_q(tc_RealDef_Oreal,c_COMBB(tc_Nat_Onat,tc_RealDef_Oreal,tc_Nat_Onat,c_Fun_Ocomp(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,v_s),$c3)).
% 14.26/14.13 0 [] c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)))).
% 14.26/14.13 0 [] c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____))).
% 14.26/14.13 0 [] -class_Rings_Olinordered__idom(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_xa_2),V_a_2)),V_ra_2)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_ra_2),V_xa_2).
% 14.26/14.13 0 [] -class_Rings_Olinordered__idom(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_xa_2),V_a_2)),V_ra_2)|c_Orderings_Oord__class_Oless(T_a,V_xa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_ra_2)).
% 14.26/14.13 0 [] -class_Rings_Olinordered__idom(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_xa_2),V_a_2)),V_ra_2)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_ra_2),V_xa_2)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_ra_2)).
% 14.26/14.13 0 [] -class_Rings_Olinordered__semidom(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))).
% 14.26/14.13 0 [] c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),v_y____,c_Limits_Ose_quentially).
% 14.26/14.13 0 [] c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____)),v_x____,c_Limits_Ose_quentially).
% 14.26/14.13 0 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_fa_2,V_l_2,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_RealDef_Oreal,tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_fa_2),hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_l_2),c_Limits_Ose_quentially).
% 14.26/14.13 0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_Oconvergent(T_a,c_COMBK(T_a,tc_Nat_Onat,V_c_2)).
% 14.26/14.13 0 [] -class_RealVector_Ometric__space(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBK(T_a,tc_Nat_Onat,V_k_2),V_l_2,c_Limits_Ose_quentially)|V_k_2=V_l_2.
% 14.26/14.13 0 [] -class_RealVector_Ometric__space(T_a)|c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBK(T_a,tc_Nat_Onat,V_k_2),V_l_2,c_Limits_Ose_quentially)|V_k_2!=V_l_2.
% 14.26/14.13 0 [] -class_RealVector_Otopological__space(T_a)|c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBK(T_a,tc_Nat_Onat,V_k_2),V_k_2,c_Limits_Ose_quentially).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(T_a,tc_RealDef_Oreal,tc_Nat_Onat,c_RealVector_Onorm__class_Onorm(T_a),V_X_2),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a_2),c_Limits_Ose_quentially).
% 14.26/14.13 0 [] -class_RealVector_Otopological__space(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_fa_2,V_a_2,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat,V_fa_2,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2)),V_a_2,c_Limits_Ose_quentially).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_fa_2,V_a_2,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBC(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(T_a),V_fa_2),V_b_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2),c_Limits_Ose_quentially).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_Y_2,V_b_2,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBS(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(T_a),V_X_2),V_Y_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2),c_Limits_Ose_quentially).
% 14.26/14.13 0 [] -class_RealVector_Otopological__space(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat,V_fa_2,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2)),V_a_2,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,T_a,V_fa_2,V_a_2,c_Limits_Ose_quentially).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_Y_2,V_b_2,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBS(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Ominus__class_Ominus(T_a),V_X_2),V_Y_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2),c_Limits_Ose_quentially).
% 14.26/14.13 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_fa_2,V_a_2,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBC(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Ominus__class_Ominus(T_a),V_fa_2),V_b_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2),c_Limits_Ose_quentially).
% 14.26/14.13 0 [] -c_SEQ_Odecse_q(tc_RealDef_Oreal,V_X_2)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_X_2,V_L_2,c_Limits_Ose_quentially)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_L_2,hAPP(V_X_2,V_n_2)).
% 14.26/14.13 0 [] -c_SEQ_Oincse_q(tc_RealDef_Oreal,V_X_2)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_X_2,V_L_2,c_Limits_Ose_quentially)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(V_X_2,V_n_2),V_L_2).
% 14.26/14.13 0 [] -class_RealVector_Ometric__space(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_b_2,c_Limits_Ose_quentially)|V_a_2=V_b_2.
% 14.26/14.13 0 [] -class_RealVector_Ometric__space(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_L_2,c_Limits_Ose_quentially)|c_SEQ_Oconvergent(T_a,V_X_2).
% 14.26/14.14 0 [] -class_RealVector_Ometric__space(T_a)| -c_SEQ_Oconvergent(T_a,V_X_2)|c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,$f23(V_X_2,T_a),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_Oconvergent(T_a,V_X_2)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,B_L,c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_X_2,V_xa_2,c_Limits_Ose_quentially)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_N,$f24(V_a_2,V_xa_2,V_X_2,B_N))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_a_2,V_xa_2).
% 14.26/14.14 0 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_X_2,V_xa_2,c_Limits_Ose_quentially)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_a_2,hAPP(V_X_2,$f24(V_a_2,V_xa_2,V_X_2,B_N)))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_a_2,V_xa_2).
% 14.26/14.14 0 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_X_2,V_xa_2,c_Limits_Ose_quentially)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_N,$f25(V_a_2,V_xa_2,V_X_2,B_N))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_a_2).
% 14.26/14.14 0 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_X_2,V_xa_2,c_Limits_Ose_quentially)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(V_X_2,$f25(V_a_2,V_xa_2,V_X_2,B_N)),V_a_2)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_a_2).
% 14.26/14.14 0 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_X_2,V_xa_2,c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_Y_2,V_ya_2,c_Limits_Ose_quentially)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_N,$f26(V_ya_2,V_Y_2,V_xa_2,V_X_2,B_N))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_ya_2).
% 14.26/14.14 0 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_X_2,V_xa_2,c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_Y_2,V_ya_2,c_Limits_Ose_quentially)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(V_X_2,$f26(V_ya_2,V_Y_2,V_xa_2,V_X_2,B_N)),hAPP(V_Y_2,$f26(V_ya_2,V_Y_2,V_xa_2,V_X_2,B_N)))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_ya_2).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(T_a,tc_RealDef_Oreal,tc_Nat_Onat,c_RealVector_Onorm__class_Onorm(T_a),V_X_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,c_Groups_Ozero__class_Ozero(T_a),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(T_a,tc_RealDef_Oreal,tc_Nat_Onat,c_RealVector_Onorm__class_Onorm(T_a),V_X_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,c_Groups_Ozero__class_Ozero(T_a),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_gb_2,V_L_2,c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBS(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Ominus__class_Ominus(T_a),V_fa_2),V_gb_2),c_Groups_Ozero__class_Ozero(T_a),c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,T_a,V_fa_2,V_L_2,c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_fa_2,V_L_2,c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBS(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Ominus__class_Ominus(T_a),V_fa_2),V_gb_2),c_Groups_Ozero__class_Ozero(T_a),c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,T_a,V_gb_2,V_L_2,c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_RealDef_Oreal,tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_fa_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_fa_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_RealDef_Oreal,tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_fa_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_fa_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)!=V_m|V_n=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_m_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_m_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_n_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=V_m.
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)=V_n.
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_z)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j),V_k)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_k).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_l)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i),V_i).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j),V_i).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x,V_z)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x,V_y)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k),V_n)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k),V_n)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_n).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k),V_n)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k),V_n)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_n).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_j)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_l)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_j)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_j)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_j)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2))|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2)|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),$f27(V_n_2,V_m_2)).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2)|V_n_2!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_k))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_k)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k)).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_n)=V_m.
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_n)=V_m.
% 14.26/14.14 0 [] -class_RealVector_Otopological__space(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_L_2,c_Limits_Ose_quentially)| -c_SEQ_Osubse_q(V_fa_2)|c_Limits_Otendsto(tc_Nat_Onat,T_a,c_Fun_Ocomp(tc_Nat_Onat,T_a,tc_Nat_Onat,V_X_2,V_fa_2),V_L_2,c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -c_SEQ_Omonose_q(tc_RealDef_Oreal,V_a_2)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_a_2,V_xa_2,c_Limits_Ose_quentially)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(V_a_2,B_n),V_xa_2)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,hAPP(V_a_2,X4)).
% 14.26/14.14 0 [] -c_SEQ_Omonose_q(tc_RealDef_Oreal,V_a_2)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_a_2,V_xa_2,c_Limits_Ose_quentially)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(V_a_2,B_n),V_xa_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,X5,X6)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(V_a_2,X6),hAPP(V_a_2,X5)).
% 14.26/14.14 0 [] -c_SEQ_Omonose_q(tc_RealDef_Oreal,V_a_2)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_a_2,V_xa_2,c_Limits_Ose_quentially)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_m,X3)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(V_a_2,B_m),hAPP(V_a_2,X3))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,hAPP(V_a_2,X4)).
% 14.26/14.14 0 [] -c_SEQ_Omonose_q(tc_RealDef_Oreal,V_a_2)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_a_2,V_xa_2,c_Limits_Ose_quentially)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_m,X3)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(V_a_2,B_m),hAPP(V_a_2,X3))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,X5,X6)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(V_a_2,X6),hAPP(V_a_2,X5)).
% 14.26/14.14 0 [] -c_SEQ_OBse_q(tc_RealDef_Oreal,V_X_2)| -c_SEQ_Omonose_q(tc_RealDef_Oreal,V_X_2)|c_SEQ_Oconvergent(tc_RealDef_Oreal,V_X_2).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_SEQ_Oconvergent(T_a,V_X_2)| -c_SEQ_Oconvergent(T_a,V_Y_2)|c_SEQ_Oconvergent(T_a,c_COMBS(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(T_a),V_X_2),V_Y_2)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_SEQ_OBse_q(T_a,V_X_2)|c_SEQ_OBse_q(T_a,c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat,V_X_2,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2))).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_SEQ_OBse_q(T_a,c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat,V_X_2,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2)))|c_SEQ_OBse_q(T_a,V_X_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))=V_m.
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2),V_j_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2),V_j_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_j)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),V_j).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2),V_i_2)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2),V_i_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_n)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_k)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_m)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))=V_m.
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_j)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_j_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2))|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2),V_j_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_j_2)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2),V_j_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_m)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)=V_m.
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2,V_j_2)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)!=V_k_2|V_j_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2,V_j_2)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)=V_k_2|V_j_2!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_j)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_j)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)),V_i)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_k).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_j)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_k)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)),V_i).
% 14.26/14.14 0 [] hAPP(c_Complex_ORe,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),V_x),V_y))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_Complex_ORe,V_y)).
% 14.26/14.14 0 [] hAPP(c_Complex_OIm,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),V_x),V_y))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)),hAPP(c_Complex_OIm,V_y)).
% 14.26/14.14 0 [] hAPP(c_Complex_OIm,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_a),V_b)),hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_c),V_d))=hAPP(hAPP(c_Complex_Ocomplex_OComplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_b),V_d)).
% 14.26/14.14 0 [] hAPP(c_Complex_ORe,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 14.26/14.14 0 [] -hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_b_2)|hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 14.26/14.14 0 [] -hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))|V_a_2!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)|hBOOL(hAPP(V_P_2,B_d)).
% 14.26/14.14 0 [] hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_b_2)|V_a_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),$f28(V_b_2,V_a_2,V_P_2)).
% 14.26/14.14 0 [] hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_b_2)| -hBOOL(hAPP(V_P_2,$f28(V_b_2,V_a_2,V_P_2))).
% 14.26/14.14 0 [] hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|V_a_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),$f28(V_b_2,V_a_2,V_P_2)).
% 14.26/14.14 0 [] hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| -hBOOL(hAPP(V_P_2,$f28(V_b_2,V_a_2,V_P_2))).
% 14.26/14.14 0 [] -hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_b_2)|hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 14.26/14.14 0 [] -hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))|V_a_2!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)|hBOOL(hAPP(V_P_2,B_d)).
% 14.26/14.14 0 [] hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_b_2)|V_a_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),$f29(V_b_2,V_a_2,V_P_2)).
% 14.26/14.14 0 [] hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_b_2)| -hBOOL(hAPP(V_P_2,$f29(V_b_2,V_a_2,V_P_2))).
% 14.26/14.14 0 [] hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|V_a_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),$f29(V_b_2,V_a_2,V_P_2)).
% 14.26/14.14 0 [] hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| -hBOOL(hAPP(V_P_2,$f29(V_b_2,V_a_2,V_P_2))).
% 14.26/14.14 0 [] -class_Rings_Olinordered__idom(T_a)|V_x=V_y|c_Orderings_Oord__class_Oless(T_a,V_x,V_y)|c_Orderings_Oord__class_Oless(T_a,V_y,V_x).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),V_w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),V_w),V_z))),hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),V_z))).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),V_b),V_a))),hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),V_b)),hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),V_a)).
% 14.26/14.14 0 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_a_2),V_b_2)!=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)|V_a_2=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 14.26/14.14 0 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_a_2),V_b_2)!=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)|V_b_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.14 0 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_a_2),V_b_2)=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)|V_a_2!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|V_b_2!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.14 0 [] c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)=hAPP(hAPP(c_Complex_Ocomplex_OComplex,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.26/14.14 0 [] -class_SEQ_Ocomplete__space(T_a)| -c_SEQ_Oconvergent(T_a,V_X_2)| -c_SEQ_Osubse_q(V_fa_2)|c_SEQ_Oconvergent(T_a,c_Fun_Ocomp(tc_Nat_Onat,T_a,tc_Nat_Onat,V_X_2,V_fa_2)).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),V_x),V_y)=hAPP(hAPP(c_Complex_Ocomplex_OComplex,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_Complex_ORe,V_y))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)),hAPP(c_Complex_OIm,V_y))).
% 14.26/14.14 0 [] -class_Rings_Ozero__ne_q__one(T_a)|c_Groups_Oone__class_Oone(T_a)!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Rings_Ozero__ne_q__one(T_a)|c_Groups_Ozero__class_Ozero(T_a)!=c_Groups_Oone__class_Oone(T_a).
% 14.26/14.14 0 [] -class_Rings_Olinordered__idom(T_a)|hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a))=c_Groups_Oone__class_Oone(T_a).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,V_c)|c_Orderings_Oord__class_Oless(T_a,V_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))).
% 14.26/14.14 0 [] c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),$c4,c_Limits_Ose_quentially).
% 14.26/14.14 0 [] c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____))),$c5,c_Limits_Ose_quentially).
% 14.26/14.14 0 [] c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____)),$c6,c_Limits_Ose_quentially).
% 14.26/14.14 0 [] c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____)),$c7,c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -c_Limits_Otendsto(T_a,tc_RealDef_Oreal,c_COMBB(T_b,tc_RealDef_Oreal,T_a,c_RealVector_Onorm__class_Onorm(T_b),V_fa_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_net_2)|c_Limits_Otendsto(T_a,T_b,V_fa_2,c_Groups_Ozero__class_Ozero(T_b),V_net_2).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -c_Limits_Otendsto(T_a,T_b,V_fa_2,c_Groups_Ozero__class_Ozero(T_b),V_net_2)|c_Limits_Otendsto(T_a,tc_RealDef_Oreal,c_COMBB(T_b,tc_RealDef_Oreal,T_a,c_RealVector_Onorm__class_Onorm(T_b),V_fa_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_net_2).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),V_z)).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_k)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_k)).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2)|V_m_2=V_n_2.
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2)|V_m_2!=V_n_2.
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2)|V_m_2=V_n_2.
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2)|V_m_2!=V_n_2.
% 14.26/14.14 0 [] -c_Limits_Otendsto(T_a,tc_Complex_Ocomplex,V_gb_2,V_a_2,V_net_2)|c_Limits_Otendsto(T_a,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a,c_Complex_ORe,V_gb_2),hAPP(c_Complex_ORe,V_a_2),V_net_2).
% 14.26/14.14 0 [] -c_Limits_Otendsto(T_a,tc_Complex_Ocomplex,V_gb_2,V_a_2,V_net_2)|c_Limits_Otendsto(T_a,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a,c_Complex_OIm,V_gb_2),hAPP(c_Complex_OIm,V_a_2),V_net_2).
% 14.26/14.14 0 [] -c_Limits_Otendsto(T_a,tc_RealDef_Oreal,V_fa_2,V_a_2,V_net_2)| -c_Limits_Otendsto(T_a,tc_RealDef_Oreal,V_gb_2,V_b_2,V_net_2)|c_Limits_Otendsto(T_a,tc_Complex_Ocomplex,c_COMBS(T_a,tc_RealDef_Oreal,tc_Complex_Ocomplex,c_COMBB(tc_RealDef_Oreal,tc_fun(tc_RealDef_Oreal,tc_Complex_Ocomplex),T_a,c_Complex_Ocomplex_OComplex,V_fa_2),V_gb_2),hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_a_2),V_b_2),V_net_2).
% 14.26/14.14 0 [] -c_SEQ_Oconvergent(tc_Complex_Ocomplex,V_X_2)|c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,V_X_2)).
% 14.26/14.14 0 [] -c_SEQ_Oconvergent(tc_Complex_Ocomplex,V_X_2)|c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,V_X_2)).
% 14.26/14.14 0 [] -class_RealVector_Otopological__space(T_b)| -c_Orderings_Oord__class_Oless__e_q(tc_Limits_Onet(T_a),V_net_2,V_net_H_2)| -c_Limits_Otendsto(T_a,T_b,V_fa_2,V_l_2,V_net_H_2)|c_Limits_Otendsto(T_a,T_b,V_fa_2,V_l_2,V_net_2).
% 14.26/14.14 0 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_Complex_Ocomplex,V_X_2,V_a_2,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,V_X_2),hAPP(c_Complex_ORe,V_a_2),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_Complex_Ocomplex,V_X_2,V_a_2,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,V_X_2),hAPP(c_Complex_OIm,V_a_2),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_X_2,V_a_2,c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,V_Y_2,V_b_2,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,tc_Complex_Ocomplex,c_COMBS(tc_Nat_Onat,tc_RealDef_Oreal,tc_Complex_Ocomplex,c_COMBB(tc_RealDef_Oreal,tc_fun(tc_RealDef_Oreal,tc_Complex_Ocomplex),tc_Nat_Onat,c_Complex_Ocomplex_OComplex,V_X_2),V_Y_2),hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_a_2),V_b_2),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -class_RealVector_Otopological__space(T_b)|c_Limits_Otendsto(T_a,T_b,c_COMBK(T_b,T_a,V_k_2),V_k_2,V_net_2).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -c_Limits_Otendsto(T_a,T_b,V_fa_2,V_a_2,V_net_2)| -c_Limits_Otendsto(T_a,T_b,V_gb_2,V_b_2,V_net_2)|c_Limits_Otendsto(T_a,T_b,c_COMBS(T_a,T_b,T_b,c_COMBB(T_b,tc_fun(T_b,T_b),T_a,c_Groups_Oplus__class_Oplus(T_b),V_fa_2),V_gb_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2),V_net_2).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -c_Limits_Otendsto(T_a,T_b,V_fa_2,V_a_2,V_net_2)| -c_Limits_Otendsto(T_a,T_b,V_gb_2,V_b_2,V_net_2)|c_Limits_Otendsto(T_a,T_b,c_COMBS(T_a,T_b,T_b,c_COMBB(T_b,tc_fun(T_b,T_b),T_a,c_Groups_Ominus__class_Ominus(T_b),V_fa_2),V_gb_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2),V_net_2).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -c_Limits_Otendsto(T_a,T_b,V_fa_2,V_a_2,V_net_2)|c_Limits_Otendsto(T_a,tc_RealDef_Oreal,c_COMBB(T_b,tc_RealDef_Oreal,T_a,c_RealVector_Onorm__class_Onorm(T_b),V_fa_2),hAPP(c_RealVector_Onorm__class_Onorm(T_b),V_a_2),V_net_2).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -c_Limits_Otendsto(T_a,tc_RealDef_Oreal,c_COMBB(T_b,tc_RealDef_Oreal,T_a,c_RealVector_Onorm__class_Onorm(T_b),V_fa_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_net_2)|c_Limits_Otendsto(T_a,T_b,V_fa_2,c_Groups_Ozero__class_Ozero(T_b),V_net_2).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_b)|c_Limits_Otendsto(T_a,tc_RealDef_Oreal,c_COMBB(T_b,tc_RealDef_Oreal,T_a,c_RealVector_Onorm__class_Onorm(T_b),V_fa_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_net_2)| -c_Limits_Otendsto(T_a,T_b,V_fa_2,c_Groups_Ozero__class_Ozero(T_b),V_net_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__idom(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__idom(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2),c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),V_z)!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),V_z),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),V_z),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),V_z),c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),V_z),c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_L_2,c_Limits_Ose_quentially)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_r)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,$f30(V_L_2,V_X_2,T_a,B_r),B_n)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(V_X_2,B_n)),V_L_2)),B_r).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_L_2,c_Limits_Ose_quentially)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),$f32(V_L_2,V_X_2,T_a)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_L_2,c_Limits_Ose_quentially)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_no,$f31(V_L_2,V_X_2,T_a,B_no)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_L_2,c_Limits_Ose_quentially)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(V_X_2,$f31(V_L_2,V_X_2,T_a,B_no))),V_L_2)),$f32(V_L_2,V_X_2,T_a)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_L_2,c_Limits_Ose_quentially)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_ra_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,$f33(V_ra_2,V_L_2,V_X_2,T_a),B_n)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(V_X_2,B_n)),V_L_2)),V_ra_2).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_Orderings_Oord(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_M_2,$f34(V_X_2,V_M_2,T_a,T_b))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_M_2,B_n)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_b),hAPP(V_X_2,B_n)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_RealVector_Onorm__class_Onorm(T_b),hAPP(V_X_2,V_M_2)))).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_b)| -class_Orderings_Oord(T_a)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_X_2,V_M_2)),hAPP(V_X_2,$f34(V_X_2,V_M_2,T_a,T_b)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_M_2,B_n)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_b),hAPP(V_X_2,B_n)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_RealVector_Onorm__class_Onorm(T_b),hAPP(V_X_2,V_M_2)))).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Limits_Onet(T_a),V_net_2,V_net_H_2)|c_Orderings_Oord__class_Oless__e_q(tc_Limits_Onet(T_a),V_net_2,V_net_H_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Limits_Onet(T_a),V_net_2,V_net_H_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Limits_Onet(T_a),V_net_H_2,V_net_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Limits_Onet(T_a),V_net_2,V_net_H_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Limits_Onet(T_a),V_net_2,V_net_H_2)|c_Orderings_Oord__class_Oless__e_q(tc_Limits_Onet(T_a),V_net_H_2,V_net_2).
% 14.26/14.14 0 [] c_Complex_Oii!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 14.26/14.14 0 [] c_Complex_Oii!=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex).
% 14.26/14.14 0 [] hAPP(c_Complex_ORe,c_Complex_Oii)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.14 0 [] hAPP(c_Complex_OIm,c_Complex_Oii)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 14.26/14.14 0 [] c_Complex_Oii=hAPP(hAPP(c_Complex_Ocomplex_OComplex,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 14.26/14.14 0 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_xa_2),V_ya_2)!=c_Complex_Oii|V_xa_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.14 0 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_xa_2),V_ya_2)!=c_Complex_Oii|V_ya_2=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 14.26/14.14 0 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_xa_2),V_ya_2)=c_Complex_Oii|V_xa_2!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_ya_2!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 14.26/14.14 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Groups_Olinordered__ab__group__add(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)=c_Groups_Ozero__class_Ozero(T_a)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_RealVector_Ometric__space(T_a)| -c_SEQ_Oconvergent(T_a,V_X_2)|c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,c_SEQ_Olim(T_a,V_X_2),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -class_RealVector_Ometric__space(T_a)|c_SEQ_Oconvergent(T_a,V_X_2)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,c_SEQ_Olim(T_a,V_X_2),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_l_2)|V_l_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),$f35(V_l_2,V_k_2)).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k_2,V_l_2)|V_l_2!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),B_n).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)|c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_x),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(V_x)),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_c_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_c_2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_c_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_c_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra__1(T_a)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x)),V_n)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__div__algebra(T_a)|hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x)),V_n).
% 14.26/14.14 0 [] c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 14.26/14.14 0 [] -class_Power_Opower(T_a)| -class_RealVector_Oreal__normed__algebra(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_a,c_COMBB(T_a,tc_fun(tc_Nat_Onat,T_a),tc_Nat_Onat,c_Power_Opower__class_Opower(T_a),V_X_2),V_m_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_m_2),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatceiling(V_x)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x,V_y)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),c_RComplete_Onatceiling(V_y)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_RComplete_Onatceiling(V_x)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_xa_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_xa_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_SEQ_Omonose_q(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_xa_2)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_SEQ_Oconvergent(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_xa_2)).
% 14.26/14.14 0 [] -class_RealVector_Ometric__space(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_L_2,c_Limits_Ose_quentially)|c_SEQ_Olim(T_a,V_X_2)=V_L_2.
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_SEQ_OBse_q(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_xa_2)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra__1(T_a)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_xa_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Limits_Otendsto(tc_Nat_Onat,T_a,hAPP(c_Power_Opower__class_Opower(T_a),V_xa_2),c_Groups_Ozero__class_Ozero(T_a),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_xa_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)|c_Orderings_Oord__class_Oless(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)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_xa_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_ya_2))|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_xa_2,V_ya_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_xa_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_ya_2))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_xa_2,V_ya_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)| -c_Orderings_Oord__class_Oless__e_q(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))|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_N)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,c_Groups_Oone__class_Oone(T_a))|c_Orderings_Oord__class_Oless__e_q(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_a),V_n)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_xa_2)),V_n_2))|V_xa_2!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_xa_2)),V_n_2))|V_xa_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_xa_2)),V_n_2))|V_n_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_xa_2),V_n_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_xa_2)|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_xa_2),V_n_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_xa_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_xa_2),V_n_2))|V_n_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] -class_Rings_Oring__1__no__zero__divisors(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Groups_Omonoid__mult(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),V_n)=c_Groups_Oone__class_Oone(T_a).
% 14.26/14.14 0 [] -class_Rings_Olinordered__idom(T_a)|hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n).
% 14.26/14.14 0 [] -class_Groups_Omonoid__mult(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))=V_a.
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)|c_Orderings_Oord__class_Oless__e_q(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)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a),V_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)).
% 14.26/14.14 0 [] -class_Power_Opower(T_a)| -class_Rings_Omult__zero(T_a)| -class_Rings_Ono__zero__divisors(T_a)| -class_Rings_Ozero__ne_q__one(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Power_Opower(T_a)| -class_Rings_Omult__zero(T_a)| -class_Rings_Ono__zero__divisors(T_a)| -class_Rings_Ozero__ne_q__one(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_n_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] -class_Power_Opower(T_a)| -class_Rings_Omult__zero(T_a)| -class_Rings_Ono__zero__divisors(T_a)| -class_Rings_Ozero__ne_q__one(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2)=c_Groups_Ozero__class_Ozero(T_a)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a)|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a_2)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_m_2)!=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2)|V_m_2=V_n_2.
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a_2)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_m_2)=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2)|V_m_2!=V_n_2.
% 14.26/14.14 0 [] -class_Power_Opower(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(T_a).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(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))| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 14.26/14.14 0 [] -class_Power_Opower(T_a)| -class_Rings_Osemiring__0(T_a)|V_n!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n)=c_Groups_Oone__class_Oone(T_a).
% 14.26/14.14 0 [] -class_Power_Opower(T_a)| -class_Rings_Osemiring__0(T_a)|V_n=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n)=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Rings_Olinordered__idom(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)|c_Orderings_Oord__class_Oless(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_a),V_N)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)| -c_Orderings_Oord__class_Oless(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))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_xa_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_ya_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_xa_2,V_ya_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_xa_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_ya_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_xa_2,V_ya_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_N)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a),V_a)|c_Orderings_Oord__class_Oless__e_q(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_a),V_N)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))|c_Orderings_Oord__class_Oless(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_a),V_n)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(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)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)|V_a=V_b.
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(T_a).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)|c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_x),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat))=V_x.
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|c_RComplete_Onatceiling(V_x)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),V_n)).
% 14.26/14.14 0 [] V_x!=c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))|c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)),V_n).
% 14.26/14.14 0 [] c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),V_n).
% 14.26/14.14 0 [] hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),V_n)=c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)=V_z.
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))=V_z.
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)),V_x).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_x),V_a)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_x,c_RComplete_Onatfloor(V_a)).
% 14.26/14.14 0 [] hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_x))=c_RealDef_Oreal(tc_Nat_Onat,V_x).
% 14.26/14.14 0 [] c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,V_n))=V_n.
% 14.26/14.14 0 [] c_RealDef_Oreal(tc_Nat_Onat,V_n_2)!=c_RealDef_Oreal(tc_Nat_Onat,V_m_2)|V_n_2=V_m_2.
% 14.26/14.14 0 [] c_RealDef_Oreal(tc_Nat_Onat,V_n_2)=c_RealDef_Oreal(tc_Nat_Onat,V_m_2)|V_n_2!=V_m_2.
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k_2),V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k_2),V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_w_2)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z_2,V_w_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_w_2)|V_z_2!=V_w_2.
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_w_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z_2,V_w_2)|V_z_2=V_w_2.
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x,V_y)|V_x=V_y|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_y,V_x).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_H,V_w)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z_H,V_z)|c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_H),V_z_H),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)|c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),V_k),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_j),V_k)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w,V_z)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint))|V_z_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint))|V_z_2!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2)|V_w_2=V_z_2.
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))|V_w_2!=V_z_2.
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w_2,V_z_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w_2,V_z_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)),V_z)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 14.26/14.14 0 [] c_Groups_Ozero__class_Ozero(tc_Int_Oint)!=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 14.26/14.14 0 [] c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,V_n))=V_n.
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_a_2,c_RComplete_Onatfloor(V_xa_2))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a_2),V_xa_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_a_2,c_RComplete_Onatfloor(V_xa_2))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a_2),V_xa_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a),V_x)|c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),V_x),c_RealDef_Oreal(tc_Nat_Onat,V_a)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)),V_a).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),V_x),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))).
% 14.26/14.14 0 [] c_RealDef_Oreal(tc_Nat_Onat,V_n_2)!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] c_RealDef_Oreal(tc_Nat_Onat,V_n_2)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_n_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_RealDef_Oreal(tc_Nat_Onat,V_m_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_RealDef_Oreal(tc_Nat_Onat,V_m_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_RealDef_Oreal(tc_Nat_Onat,V_m_2))|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n_2,V_m_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_RealDef_Oreal(tc_Nat_Onat,V_m_2))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n_2,V_m_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_n))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_n).
% 14.26/14.14 0 [] c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),c_RealDef_Oreal(tc_Nat_Onat,V_n)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)|c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_x),c_RealDef_Oreal(tc_Nat_Onat,V_a)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)),V_a).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(V_z)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_z,c_RealDef_Oreal(tc_Nat_Onat,V_n)).
% 14.26/14.14 0 [] c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|c_RComplete_Onatfloor(V_x)=V_n.
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(V_x))).
% 14.26/14.14 0 [] c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x,V_y)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),c_RComplete_Onatfloor(V_y)).
% 14.26/14.14 0 [] c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal))=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|V_n_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_m)|c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),c_RealDef_Oreal(tc_Nat_Onat,V_n)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),V_a).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d)).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_b).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_d).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_d)).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_x,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_RComplete_Onatfloor(V_x)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n_2)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,V_m_2)).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_m_2)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n_2)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,V_m_2)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n_2,V_m_2)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m_2)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n_2,V_m_2)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m_2)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_xa_2),V_a_2)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,c_RealDef_Oreal(tc_Nat_Onat,V_a_2)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(V_xa_2),V_a_2)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,c_RealDef_Oreal(tc_Nat_Onat,V_a_2)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a),V_x)|c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),V_x),c_RealDef_Oreal(tc_Nat_Onat,V_a)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_RComplete_Onatceiling(V_x)),V_a).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(V_xa_2))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_xa_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(V_xa_2))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_xa_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)|c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_x),c_RealDef_Oreal(tc_Nat_Onat,V_a)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(V_x)),V_a).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)=V_a.
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=V_a.
% 14.26/14.14 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|V_b_2!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_a_2)|V_a_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|V_b_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_a_2)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_xa_2),V_n_2))|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_xa_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_xa_2),V_n_2))|V_n_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_xa_2),V_n_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_xa_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_r)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),$f36(V_r)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_r).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_r)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_RealDef_Oreal(tc_Nat_Onat,$f36(V_r))).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_xa_2)|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_RealDef_Oreal,tc_RealDef_Oreal,tc_Nat_Onat,hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),V_a_2),hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_xa_2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)),V_n)=hAPP(hAPP(c_Rings_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)).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring__inverse__zero(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__field(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__field(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_b)).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a))=V_a.
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__field(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),V_ya)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_ya)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_ya)).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__field(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y)),V_ya)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_ya)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_ya)).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)).
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)| -class_RealVector_Oreal__normed__field(T_a)|hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_b)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z,V_w)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w,V_z)|V_z=V_w.
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i,V_j)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_j,V_k)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i,V_k).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_z,V_w)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w,V_z).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_w,V_w).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i,V_j)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_j)).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_w)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_y),V_z))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_z)).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)),V_z3)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z2),V_z3)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__field(T_b)| -c_Limits_Otendsto(T_a,T_b,V_gb_2,V_a_2,V_net_2)|c_Limits_Otendsto(T_a,T_b,c_COMBC(T_a,T_b,T_b,c_COMBB(T_b,tc_fun(T_b,T_b),T_a,c_Rings_Oinverse__class_Odivide(T_b),V_gb_2),V_ya_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_ya_2),V_net_2).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__field(T_a)| -c_SEQ_Oconvergent(T_a,V_X_2)|c_SEQ_Oconvergent(T_a,c_COMBC(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(T_a),V_X_2),V_ya_2)).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|V_b_2=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2)!=c_Groups_Oone__class_Oone(T_a)|V_a_2=V_b_2.
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|V_b_2=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2)=c_Groups_Oone__class_Oone(T_a)|V_a_2!=V_b_2.
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a)=c_Groups_Oone__class_Oone(T_a).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring__inverse__zero(T_a)|V_a!=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a)=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring__inverse__zero(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a)=c_Groups_Oone__class_Oone(T_a).
% 14.26/14.14 0 [] -class_Fields_Ofield(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)),V_n)=hAPP(hAPP(c_Rings_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)).
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)),V_n).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),V_xa_2),V_ya_2))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_ya_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),V_xa_2),V_ya_2))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_ya_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),V_xa_2),V_ya_2))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),V_xa_2),V_ya_2))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_ya_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),V_xa_2),V_ya_2))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_ya_2)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_xa_2).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),V_xa_2),V_ya_2))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_ya_2)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_ya_2,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__field(T_b)| -c_Limits_Otendsto(T_a,T_b,V_fa_2,V_a_2,V_net_2)| -c_Limits_Otendsto(T_a,T_b,V_gb_2,V_b_2,V_net_2)|V_b_2=c_Groups_Ozero__class_Ozero(T_b)|c_Limits_Otendsto(T_a,T_b,c_COMBS(T_a,T_b,T_b,c_COMBB(T_b,tc_fun(T_b,T_b),T_a,c_Rings_Oinverse__class_Odivide(T_b),V_fa_2),V_gb_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2),V_net_2).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__field(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBC(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(T_a),V_X_2),V_ya_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_ya_2),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__field(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_Y_2,V_b_2,c_Limits_Ose_quentially)|V_b_2=c_Groups_Ozero__class_Ozero(T_a)|c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBS(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(T_a),V_X_2),V_Y_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -class_Fields_Ofield(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_n,V_m)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(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)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_x)),V_y)=hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),V_b).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)|c_Orderings_Oord__class_Oless(T_a,V_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)))).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_y,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)|c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2)|c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)| -c_Orderings_Oord__class_Oless(T_a,V_y,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_y,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,V_a)| -c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)| -c_Orderings_Oord__class_Oless(T_a,V_y,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_w)| -c_Orderings_Oord__class_Oless(T_a,V_w,V_z)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_w)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_w,V_z)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_y)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_w)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_w,V_z)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__field(T_a)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_xa_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Series_Osums(T_a,hAPP(c_Power_Opower__class_Opower(T_a),V_xa_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Groups_Oone__class_Oone(T_a)),V_xa_2))).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_y,V_x)|c_Nat__Transfer_Otsub(V_x,V_y)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_y,V_x)|c_Nat__Transfer_Otsub(V_x,V_y)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_y)|c_RComplete_Onatfloor(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),V_x),c_RealDef_Oreal(tc_Nat_Onat,V_y)))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_y).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__field(T_a)| -c_Series_Osums(T_a,V_X_2,V_a_2)|c_Series_Osums(T_a,c_COMBC(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(T_a),V_X_2),V_ya_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_ya_2)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__field(T_a)| -c_Series_Osums(T_a,V_fa_2,V_a_2)|c_Series_Osums(T_a,c_COMBC(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(T_a),V_fa_2),V_c_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_c_2)).
% 14.26/14.14 0 [] -c_Series_Osums(tc_Complex_Ocomplex,V_X_2,V_a_2)|c_Series_Osums(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,V_X_2),hAPP(c_Complex_OIm,V_a_2)).
% 14.26/14.14 0 [] -c_Series_Osums(tc_Complex_Ocomplex,V_X_2,V_a_2)|c_Series_Osums(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,V_X_2),hAPP(c_Complex_ORe,V_a_2)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Series_Osums(T_a,V_X_2,V_a_2)| -c_Series_Osums(T_a,V_Y_2,V_b_2)|c_Series_Osums(T_a,c_COMBS(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Ominus__class_Ominus(T_a),V_X_2),V_Y_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Series_Osums(T_a,V_X_2,V_a_2)| -c_Series_Osums(T_a,V_Y_2,V_b_2)|c_Series_Osums(T_a,c_COMBS(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(T_a),V_X_2),V_Y_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_Series_Osums(T_a,c_COMBK(T_a,tc_Nat_Onat,c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n,V_x)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),c_RealDef_Oreal(tc_Nat_Onat,V_x))).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(V_x,V_y)).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),c_RealDef_Oreal(tc_Nat_Onat,V_x))),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n,V_x)))).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),c_RealDef_Oreal(tc_Nat_Onat,V_x))),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n,V_x))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_y,V_x)|c_Nat__Transfer_Otsub(V_x,V_y)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n),V_m).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_k,V_n),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_k,V_m)).
% 14.26/14.14 0 [] -class_Divides_Osemiring__div(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a),V_b)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Odiv(T_a,V_a,V_b)),c_Groups_Oone__class_Oone(T_a)).
% 14.26/14.14 0 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.14 0 [] V_a=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_a)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_x,V_y)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a,V_a_H)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_H,V_b),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a,V_a_H)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_H,V_b)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_a)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_b_H,V_b)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b_H),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2))| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_a_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,V_b)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_b_H,V_b)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b_H)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a_2)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_b_2,V_a_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a_2)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2))| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_b_2,V_a_2)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_k_2,V_i_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2))| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_k_2,V_i_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2))| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a_2).
% 14.26/14.14 0 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_i_2)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.14 0 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_i_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_i_2).
% 14.26/14.14 0 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i_2,V_k_2)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.14 0 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i_2,V_k_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_i_2).
% 14.26/14.14 0 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_k_2!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 14.26/14.14 0 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_i_2)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i_2,V_k_2).
% 14.26/14.14 0 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_i_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_i_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_k)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_x,V_k),V_x).
% 14.26/14.14 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Divides_Osemiring__div(T_a)|c_Divides_Odiv__class_Odiv(T_a,V_a,c_Groups_Oone__class_Oone(T_a))=V_a.
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,V_n)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_k),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n,V_k)).
% 14.26/14.14 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n),V_m).
% 14.26/14.14 0 [] -class_Divides_Osemiring__div(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,V_a,V_a)=c_Groups_Oone__class_Oone(T_a).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.14 0 [] -class_Divides_Osemiring__div(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_b)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Odiv(T_a,V_a,V_b)),c_Groups_Oone__class_Oone(T_a)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_xa_2)|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_RealDef_Oreal,tc_RealDef_Oreal,tc_Nat_Onat,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_xa_2)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),V_x)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_x),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),V_n)).
% 14.26/14.14 0 [] hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| -hBOOL(hAPP(V_P_2,V_n_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,$f37(V_n_2,V_P_2),V_n_2).
% 14.26/14.14 0 [] hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| -hBOOL(hAPP(V_P_2,V_n_2))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_i,$f37(V_n_2,V_P_2))| -hBOOL(hAPP(V_P_2,B_i)).
% 14.26/14.14 0 [] hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| -hBOOL(hAPP(V_P_2,V_n_2))|hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),$f37(V_n_2,V_P_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)| -c_Series_Osums(T_a,V_fa_2,V_a_2)|c_Series_Osums(T_a,c_COMBB(T_a,T_a,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_fa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)| -c_Series_Osums(T_a,V_fa_2,V_a_2)|c_Series_Osums(T_a,c_COMBC(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(T_a),V_fa_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)| -c_Series_Osums(T_a,V_X_2,V_a_2)|c_Series_Osums(T_a,c_COMBB(T_a,T_a,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_X_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_a_2)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)| -c_Series_Osums(T_a,V_X_2,V_a_2)|c_Series_Osums(T_a,c_COMBC(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(T_a),V_X_2),V_ya_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ya_2)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__div__algebra(T_a)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_r,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_r)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_x)),hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),V_r)).
% 14.26/14.14 0 [] -class_Fields_Ofield(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b)).
% 14.26/14.14 0 [] -class_Fields_Ofield(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)),V_a)=c_Groups_Oone__class_Oone(T_a).
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_xa_2)!=c_Groups_Oone__class_Oone(T_a)|V_xa_2=c_Groups_Oone__class_Oone(T_a).
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_xa_2)=c_Groups_Oone__class_Oone(T_a)|V_xa_2!=c_Groups_Oone__class_Oone(T_a).
% 14.26/14.14 0 [] hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),V_x),V_y)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),V_y)).
% 14.26/14.14 0 [] hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),V_R),V_S)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_R),hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),V_S)).
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_a).
% 14.26/14.14 0 [] -class_Fields_Ofield(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b)).
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_z),V_w))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_w)).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b)).
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))=hAPP(c_Rings_Oinverse__class_Oinverse(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)).
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)| -c_SEQ_Oconvergent(T_a,V_X_2)| -c_SEQ_Oconvergent(T_a,V_Y_2)|c_SEQ_Oconvergent(T_a,c_COMBS(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(T_a),V_X_2),V_Y_2)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)| -c_SEQ_Oconvergent(T_a,V_X_2)|c_SEQ_Oconvergent(T_a,c_COMBC(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(T_a),V_X_2),V_ya_2)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)| -c_SEQ_Oconvergent(T_a,V_X_2)|c_SEQ_Oconvergent(T_a,c_COMBB(T_a,T_a,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_X_2)).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_q)=hAPP(hAPP(c_Groups_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)).
% 14.26/14.14 0 [] -class_Groups_Ocomm__monoid__mult(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_n)=hAPP(hAPP(c_Groups_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)).
% 14.26/14.14 0 [] -class_Groups_Omonoid__mult(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring__inverse__zero(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)),V_n).
% 14.26/14.14 0 [] V_c_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c_2),V_a_2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c_2),V_b_2)|V_a_2=V_b_2.
% 14.26/14.14 0 [] V_c_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c_2),V_a_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c_2),V_b_2)|V_a_2!=V_b_2.
% 14.26/14.14 0 [] V_c_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a_2),V_c_2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_b_2),V_c_2)|V_a_2=V_b_2.
% 14.26/14.14 0 [] V_c_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a_2),V_c_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_b_2),V_c_2)|V_a_2!=V_b_2.
% 14.26/14.14 0 [] -class_Rings_Olinordered__idom(T_a)|hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__idom(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b)),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_ry)).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_rx)).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ry)).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a).
% 14.26/14.14 0 [] -class_Rings_Omult__zero(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Rings_Omult__zero(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Rings_Oring__no__zero__divisors(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Groups_Ozero__class_Ozero(T_a)|V_b_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Rings_Oring__no__zero__divisors(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)=c_Groups_Ozero__class_Ozero(T_a)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Rings_Oring__no__zero__divisors(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)=c_Groups_Ozero__class_Ozero(T_a)|V_b_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Rings_Ono__zero__divisors(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Rings_Ono__zero__divisors(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)!=c_Groups_Ozero__class_Ozero(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)!=hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b)|V_a=c_Groups_Ozero__class_Ozero(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|V_a=V_b.
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)!=c_Groups_Ozero__class_Ozero(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))=V_a.
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring__inverse__zero(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a_2)!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring__inverse__zero(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a_2)=c_Groups_Ozero__class_Ozero(T_a)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring__inverse__zero(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),c_Groups_Ozero__class_Ozero(T_a))=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__div__algebra(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))=hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x),V_r)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_y),V_s)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r),V_s)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__div__algebra(T_a)|hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_y)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__div__algebra(T_a)| -class_Rings_Odivision__ring__inverse__zero(T_a)|hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))=hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_a)).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),V_z2)),V_z3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z2),V_z3)).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_w)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_w),V_z).
% 14.26/14.14 0 [] -class_Groups_Oab__semigroup__mult(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring__inverse__zero(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)!=hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b)|V_a=V_b.
% 14.26/14.14 0 [] -class_Rings_Odivision__ring__inverse__zero(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a_2)!=hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b_2)|V_a_2=V_b_2.
% 14.26/14.14 0 [] -class_Rings_Odivision__ring__inverse__zero(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a_2)=hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b_2)|V_a_2!=V_b_2.
% 14.26/14.14 0 [] -class_Rings_Odivision__ring__inverse__zero(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))=V_a.
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_b)| -c_Limits_Otendsto(T_a,T_b,V_gb_2,V_a_2,V_net_2)|c_Limits_Otendsto(T_a,T_b,c_COMBB(T_b,T_b,T_a,hAPP(c_Groups_Otimes__class_Otimes(T_b),V_xa_2),V_gb_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_xa_2),V_a_2),V_net_2).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_b)| -c_Limits_Otendsto(T_a,T_b,V_gb_2,V_a_2,V_net_2)|c_Limits_Otendsto(T_a,T_b,c_COMBC(T_a,T_b,T_b,c_COMBB(T_b,tc_fun(T_b,T_b),T_a,c_Groups_Otimes__class_Otimes(T_b),V_gb_2),V_ya_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_ya_2),V_net_2).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_b)| -c_Limits_Otendsto(T_a,T_b,V_fa_2,V_a_2,V_net_2)| -c_Limits_Otendsto(T_a,T_b,V_gb_2,V_b_2,V_net_2)|c_Limits_Otendsto(T_a,T_b,c_COMBS(T_a,T_b,T_b,c_COMBB(T_b,tc_fun(T_b,T_b),T_a,c_Groups_Otimes__class_Otimes(T_b),V_fa_2),V_gb_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2),V_net_2).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x)),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_y))).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y)),V_ya)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_ya)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_ya)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a_H)),V_b)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_y)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_b_H))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b_H)).
% 14.26/14.14 0 [] -class_Rings_Osemiring(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_e)),V_c))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_e)),V_c).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),V_ya)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_ya)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_ya)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_a_H)),V_b)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_y)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_b_H))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b_H)).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),V_z1),V_z2)),V_w)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z2),V_w)).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_z)=V_z.
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)!=c_Groups_Oone__class_Oone(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)=V_b.
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),c_Groups_Oone__class_Oone(T_a))=c_Groups_Oone__class_Oone(T_a).
% 14.26/14.14 0 [] -class_Groups_Omonoid__mult(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)=V_a.
% 14.26/14.14 0 [] -class_Groups_Ocomm__monoid__mult(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)=V_a.
% 14.26/14.14 0 [] -class_Groups_Omonoid__mult(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a))=V_a.
% 14.26/14.14 0 [] -class_Groups_Ocomm__monoid__mult(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a))=V_a.
% 14.26/14.14 0 [] V_x=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),V_x)),V_x)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))=c_Groups_Oone__class_Oone(T_a).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)),V_a)=c_Groups_Oone__class_Oone(T_a).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)=V_a.
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a))=V_a.
% 14.26/14.14 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_ya_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_z_2))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_ya_2))|V_w_2=V_xa_2|V_ya_2=V_z_2.
% 14.26/14.14 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_ya_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_z_2))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_ya_2))|V_w_2!=V_xa_2.
% 14.26/14.14 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_ya_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_z_2))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_ya_2))|V_ya_2!=V_z_2.
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_m))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_m).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)).
% 14.26/14.14 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|V_a_2=V_b_2|V_c_2=V_d_2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_d_2))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2)).
% 14.26/14.14 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|V_a_2!=V_b_2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_d_2))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2)).
% 14.26/14.14 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|V_c_2!=V_d_2|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_d_2))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2)).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b)).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a))),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a_2))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))|V_a=c_Groups_Ozero__class_Ozero(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))|V_a=c_Groups_Ozero__class_Ozero(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)|c_Orderings_Oord__class_Oless(T_a,V_b,V_a).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b))| -c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_b,V_a).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)),V_n).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a))=hAPP(c_Rings_Oinverse__class_Oinverse(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)).
% 14.26/14.14 0 [] -class_Fields_Ofield(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_a).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_a).
% 14.26/14.14 0 [] -class_Rings_Oordered__cancel__semiring(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Oordered__cancel__semiring(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Oordered__ring(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)).
% 14.26/14.14 0 [] -class_Rings_Oordered__ring(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)).
% 14.26/14.14 0 [] -class_Rings_Oordered__semiring(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_d)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)).
% 14.26/14.14 0 [] -class_Rings_Oordered__semiring(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_d)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)).
% 14.26/14.14 0 [] -class_Rings_Oordered__ring(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)).
% 14.26/14.14 0 [] -class_Rings_Oordered__ring(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)).
% 14.26/14.14 0 [] -class_Rings_Oordered__comm__semiring(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)).
% 14.26/14.14 0 [] -class_Rings_Oordered__semiring(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)).
% 14.26/14.14 0 [] -class_Rings_Oordered__semiring(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)).
% 14.26/14.14 0 [] -class_Rings_Oordered__ring(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)).
% 14.26/14.14 0 [] -class_Rings_Oordered__cancel__semiring(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Oordered__cancel__semiring(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Oordered__cancel__semiring(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Oordered__cancel__semiring(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,V_a)| -c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,V_a)| -c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__comm__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))|c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))| -c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)|c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2)|c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)|V_r=c_Groups_Ozero__class_Ozero(T_a)|V_a!=V_b|V_c=V_d|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_c))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_d)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_m)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_n)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),V_n)).
% 14.26/14.14 0 [] -class_Rings_Oring(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_c_2)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)|V_c_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2).
% 14.26/14.14 0 [] -class_Rings_Oring(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_c_2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)|V_c_2!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2).
% 14.26/14.14 0 [] -class_Rings_Oring(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_c_2)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_c_2)=V_d_2.
% 14.26/14.14 0 [] -class_Rings_Oring(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_c_2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_c_2)!=V_d_2.
% 14.26/14.14 0 [] -class_Rings_Oring(T_a)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_a)),V_b)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_a)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_a)),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_b))).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),V_m)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),V_m).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)),V_m)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|V_c=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)!=V_b|V_a=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|V_c=c_Groups_Ozero__class_Ozero(T_a)|V_b!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)=V_a.
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|V_c_2=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)!=V_a_2|V_b_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|V_c_2=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)=V_a_2|V_b_2!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|V_c_2=c_Groups_Ozero__class_Ozero(T_a)|V_a_2!=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)=V_b_2.
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|V_c_2=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)!=V_b_2.
% 14.26/14.14 0 [] -class_Fields_Ofield(T_a)|V_ya_2=c_Groups_Ozero__class_Ozero(T_a)|V_z_2=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_xa_2),V_ya_2)!=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w_2),V_z_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_z_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_ya_2).
% 14.26/14.14 0 [] -class_Fields_Ofield(T_a)|V_ya_2=c_Groups_Ozero__class_Ozero(T_a)|V_z_2=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_xa_2),V_ya_2)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w_2),V_z_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_z_2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_ya_2).
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)|V_c=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b).
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)|V_c=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b).
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)!=V_a_2|V_c_2=c_Groups_Ozero__class_Ozero(T_a)|V_b_2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2).
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)!=V_a_2|V_c_2!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)=V_a_2|V_c_2!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)=V_a_2|V_b_2!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)|V_c_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)=V_a_2|V_b_2!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)|V_a_2!=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)|V_c_2=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)=V_b_2.
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)|V_a_2!=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)|V_c_2!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)|V_a_2=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)|V_c_2!=c_Groups_Ozero__class_Ozero(T_a)|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)|V_a_2=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)!=V_b_2|V_c_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Fields_Ofield__inverse__zero(T_a)|V_a_2=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)!=V_b_2|V_a_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Divides_Osemiring__div(T_a)|V_c=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))=c_Divides_Odiv__class_Odiv(T_a,V_a,V_b).
% 14.26/14.14 0 [] -class_Divides_Osemiring__div(T_a)|V_c=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))=c_Divides_Odiv__class_Odiv(T_a,V_a,V_b).
% 14.26/14.14 0 [] -class_Divides_Osemiring__div(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),V_b)=V_a.
% 14.26/14.14 0 [] -class_Divides_Osemiring__div(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_b)=V_a.
% 14.26/14.14 0 [] -class_Divides_Osemiring__div(T_a)|V_c!=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.14 0 [] -class_Divides_Osemiring__div(T_a)|V_c=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))=c_Divides_Odiv__class_Odiv(T_a,V_a,V_b).
% 14.26/14.14 0 [] -class_Rings_Olinordered__idom(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a),V_c)| -c_Orderings_Oord__class_Oless(T_a,hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b),V_d)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_d)).
% 14.26/14.14 0 [] -class_Groups_Omonoid__mult(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Groups_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)).
% 14.26/14.14 0 [] -class_Rings_Ocomm__semiring__1(T_a)|hAPP(hAPP(c_Groups_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_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_p),V_q)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_y)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_y)).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ya_2),V_z_2))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_ya_2).
% 14.26/14.14 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ya_2),V_z_2))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_ya_2).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_xa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ya_2),V_ya_2))!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_xa_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_xa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ya_2),V_ya_2))!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_ya_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_xa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ya_2),V_ya_2))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_xa_2!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|V_ya_2!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__div__algebra(T_b)| -c_Limits_Otendsto(T_a,T_b,V_fa_2,V_a_2,V_net_2)|V_a_2=c_Groups_Ozero__class_Ozero(T_b)|c_Limits_Otendsto(T_a,T_b,c_COMBB(T_b,T_b,T_a,c_Rings_Oinverse__class_Oinverse(T_b),V_fa_2),hAPP(c_Rings_Oinverse__class_Oinverse(T_b),V_a_2),V_net_2).
% 14.26/14.14 0 [] hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(V_fa_2,V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(V_fa_2,V_b_2)),hAPP(V_fa_2,V_a_2))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),V_b_2),V_a_2))),V_a_2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(V_fa_2,V_b_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(V_fa_2,V_b_2)),hAPP(V_fa_2,V_a_2))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),V_b_2),V_a_2))),V_b_2)).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBB(T_a,T_a,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_X_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_a_2),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBC(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(T_a),V_X_2),V_ya_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ya_2),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -class_RealVector_Oreal__normed__algebra(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_Y_2,V_b_2,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBS(tc_Nat_Onat,T_a,T_a,c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(T_a),V_X_2),V_Y_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2),c_Limits_Ose_quentially).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b))| -c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_b),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_xa_2),c_Groups_Oone__class_Oone(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a),V_xa_2).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_xa_2),c_Groups_Oone__class_Oone(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_xa_2),c_Groups_Oone__class_Oone(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a),V_xa_2).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_xa_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_xa_2).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_xa_2))|c_Orderings_Oord__class_Oless(T_a,V_xa_2,c_Groups_Oone__class_Oone(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_xa_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_xa_2)| -c_Orderings_Oord__class_Oless(T_a,V_xa_2,c_Groups_Oone__class_Oone(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)).
% 14.26/14.14 0 [] -class_Rings_Odivision__ring(T_a)|V_a=c_Groups_Ozero__class_Ozero(T_a)|hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_a).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semiring(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semiring(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless(T_a,V_a,V_b).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,V_c,V_d)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_c,V_d)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,V_c,V_d)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__semiring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,V_c,V_d)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))|c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,V_a_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,V_a_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c_2),V_b_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,V_b_2).
% 14.26/14.14 0 [] -class_Rings_Olinordered__idom(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,c_Groups_Oone__class_Oone(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),V_x).
% 14.26/14.14 0 [] -class_Rings_Olinordered__idom(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,c_Groups_Oone__class_Oone(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x),V_x).
% 14.26/14.14 0 [] -class_Rings_Oordered__ring(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2))|c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2)).
% 14.26/14.14 0 [] -class_Rings_Oordered__ring(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_c_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2)).
% 14.26/14.14 0 [] -class_Rings_Oordered__ring(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2))|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_c_2),V_d_2).
% 14.26/14.14 0 [] -class_Rings_Oordered__ring(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_c_2),V_d_2).
% 14.26/14.14 0 [] -class_Rings_Oordered__ring(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2))|c_Orderings_Oord__class_Oless(T_a,V_c_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2)).
% 14.26/14.14 0 [] -class_Rings_Oordered__ring(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2)).
% 14.26/14.14 0 [] -class_Rings_Oordered__ring(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_c_2),V_d_2).
% 14.26/14.14 0 [] -class_Rings_Oordered__ring(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_c_2),V_d_2).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2)| -c_Orderings_Oord__class_Oless(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2)| -c_Orderings_Oord__class_Oless(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 14.26/14.14 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)|c_Orderings_Oord__class_Oless(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)| -c_Orderings_Oord__class_Oless(T_a,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y),V_z).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y),V_x)|c_Orderings_Oord__class_Oless(T_a,V_z,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_b,V_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b)).
% 14.26/14.15 0 [] -class_Rings_Oring__1(T_a)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),c_Groups_Oone__class_Oone(T_a))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),c_Groups_Oone__class_Oone(T_a))).
% 14.26/14.15 0 [] -class_Fields_Ofield(T_a)|V_y=c_Groups_Ozero__class_Ozero(T_a)|V_z=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w),V_z))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)).
% 14.26/14.15 0 [] -class_Fields_Ofield(T_a)|V_z=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),V_y)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_z).
% 14.26/14.15 0 [] -class_Fields_Ofield__inverse__zero(T_a)|V_y=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_y).
% 14.26/14.15 0 [] -class_Fields_Ofield(T_a)|V_z=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_z))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x)),V_y)),V_z).
% 14.26/14.15 0 [] -class_Fields_Ofield__inverse__zero(T_a)|V_y=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_y).
% 14.26/14.15 0 [] -class_Rings_Oordered__ring__abs(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)).
% 14.26/14.15 0 [] -class_Rings_Oordered__ring__abs(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)).
% 14.26/14.15 0 [] -class_Rings_Oordered__ring__abs(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b)|hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)).
% 14.26/14.15 0 [] -class_Rings_Oordered__ring__abs(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a))|hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_y)),V_x)=hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))).
% 14.26/14.15 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))).
% 14.26/14.15 0 [] -class_Fields_Ofield(T_a)|V_y=c_Groups_Ozero__class_Ozero(T_a)|V_z=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w),V_z))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)).
% 14.26/14.15 0 [] -class_Fields_Ofield(T_a)|V_z=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),V_y)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_z).
% 14.26/14.15 0 [] -class_Fields_Ofield(T_a)|V_z=c_Groups_Ozero__class_Ozero(T_a)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_z))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x)),V_y)),V_z).
% 14.26/14.15 0 [] -class_Divides_Osemiring__div(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_b)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),c_Divides_Odiv__class_Odiv(T_a,V_a,V_b)).
% 14.26/14.15 0 [] -class_Divides_Osemiring__div(T_a)|V_b=c_Groups_Ozero__class_Ozero(T_a)|c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)),V_b)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),c_Divides_Odiv__class_Odiv(T_a,V_a,V_b)).
% 14.26/14.15 0 [] -class_RealVector_Oreal__field(T_a)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_d))),V_h)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_d)),V_h))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_c)),V_h)),V_d)).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_xa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_ya_2))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_ya_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_xa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_ya_2))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_ya_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ya_2),V_z_2))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_ya_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ya_2),V_z_2))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_xa_2,V_ya_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_c,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c),hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),V_y)))|V_x=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.15 0 [] -class_RealVector_Oreal__normed__div__algebra(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)|V_a_2=c_Groups_Ozero__class_Ozero(T_a)|c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBB(T_a,T_a,tc_Nat_Onat,c_Rings_Oinverse__class_Oinverse(T_a),V_X_2),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a_2),c_Limits_Ose_quentially).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,c_Groups_Oone__class_Oone(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_a)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_xa_2),c_Groups_Oone__class_Oone(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_xa_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_xa_2),c_Groups_Oone__class_Oone(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_xa_2),c_Groups_Oone__class_Oone(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_xa_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_xa_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_xa_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_xa_2))|c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,c_Groups_Oone__class_Oone(T_a)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(c_Rings_Oinverse__class_Oinverse(T_a),V_xa_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_xa_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_xa_2,c_Groups_Oone__class_Oone(T_a)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__semiring__1(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_y,V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v)!=c_Groups_Oone__class_Oone(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y)),V_a).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a,V_b)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b,V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))|c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y),V_x)|c_Orderings_Oord__class_Oless__e_q(T_a,V_z,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y),V_z).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2),V_a_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c_2).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2)|c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless(T_a,V_c_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.15 0 [] -class_Fields_Olinordered__field__inverse__zero(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_c_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2),V_b_2)| -c_Orderings_Oord__class_Oless__e_q(T_a,V_b_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_c_2))| -c_Orderings_Oord__class_Oless__e_q(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__semidom(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a)| -c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a))|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)).
% 14.26/14.15 0 [] -class_RealVector_Oreal__normed__vector(T_a)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,V_c,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c),hAPP(c_RealVector_Onorm__class_Onorm(T_a),V_y)))|V_x=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.15 0 [] -class_RealVector_Oreal__normed__div__algebra(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_a_2,c_Limits_Ose_quentially)|V_a_2=c_Groups_Ozero__class_Ozero(T_a)|c_SEQ_OBse_q(T_a,c_COMBB(T_a,T_a,tc_Nat_Onat,c_Rings_Oinverse__class_Oinverse(T_a),V_X_2)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__semiring__1__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,V_x,V_a)| -c_Orderings_Oord__class_Oless(T_a,V_y,V_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u)| -c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v)!=c_Groups_Oone__class_Oone(T_a)|c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y)),V_a).
% 14.26/14.15 0 [] -class_Groups_Omonoid__mult(T_a)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_x)=hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n).
% 14.26/14.15 0 [] -class_Power_Opower(T_a)|V_n!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n)=c_Groups_Oone__class_Oone(T_a).
% 14.26/14.15 0 [] -class_Power_Opower(T_a)|V_n=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x1),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_u))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y),hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_u),hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),V_x1))).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x1),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_u))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),V_x)),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),V_x1)),V_u)).
% 14.26/14.15 0 [] c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_a,V_b),V_c).
% 14.26/14.15 0 [] hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),V_z)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y),V_z)).
% 14.26/14.15 0 [] -class_Rings_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_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),V_q)).
% 14.26/14.15 0 [] -class_Groups_Omonoid__mult(T_a)|hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),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).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)|V_m_2=V_n_2|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)|V_m_2!=V_n_2.
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)|V_k_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)|V_m_2=V_n_2|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)|V_m_2!=V_n_2.
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)|V_k_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_m_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_n_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_m_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_n_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)),V_w)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z1),V_z2))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z1),V_z2)),V_w)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_k)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_j)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_k,V_l)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_l)).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_j)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j)).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_j)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k)).
% 14.26/14.15 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m))).
% 14.26/14.15 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m)).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_k)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)=V_n.
% 14.26/14.15 0 [] c_Groups_Oone__class_Oone(tc_Nat_Onat)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)|V_m_2=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 14.26/14.15 0 [] c_Groups_Oone__class_Oone(tc_Nat_Onat)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)|V_n_2=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 14.26/14.15 0 [] c_Groups_Oone__class_Oone(tc_Nat_Onat)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)|V_m_2!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|V_n_2!=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))=V_n.
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|V_m_2=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|V_n_2=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|V_m_2!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|V_n_2!=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)=V_z.
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint))=V_z.
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2).
% 14.26/14.15 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m_2)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.15 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.15 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k)).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j)).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k)|c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_j)).
% 14.26/14.15 0 [] V_m!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)|V_n=c_Groups_Oone__class_Oone(tc_Nat_Onat)|V_m=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.15 0 [] c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),c_RealDef_Oreal(tc_Nat_Onat,V_n)).
% 14.26/14.15 0 [] hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n))!=c_Groups_Oone__class_Oone(tc_Int_Oint)|hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m)=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 14.26/14.15 0 [] hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_z)).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.15 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2).
% 14.26/14.15 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.15 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2).
% 14.26/14.15 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_m_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2)!=c_Groups_Oone__class_Oone(tc_Int_Oint)|V_m_2=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_m_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2)!=c_Groups_Oone__class_Oone(tc_Int_Oint)|V_n_2=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_m_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2)=c_Groups_Oone__class_Oone(tc_Int_Oint)|V_m_2!=c_Groups_Oone__class_Oone(tc_Int_Oint)|V_n_2!=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m),V_n)=V_m.
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n),V_n)=V_m.
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_c)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c))=c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),V_c).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_q_H).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q_H,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H)),V_r_H),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r))| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q_H,V_q).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_b_H,V_b)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q,V_q_H).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H)),V_r_H),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r))| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_r,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r_H)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q,V_q_H).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_b_H,V_b)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q_H,V_q).
% 14.26/14.15 0 [] -hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n_2,V_k_2)))|V_k_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 14.26/14.15 0 [] -hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_j,V_k_2)|V_n_2!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j)|hBOOL(hAPP(V_P_2,B_i)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,$f38(V_k_2,V_n_2,V_P_2),V_k_2).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),$f39(V_k_2,V_n_2,V_P_2))),$f38(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -hBOOL(hAPP(V_P_2,$f39(V_k_2,V_n_2,V_P_2))).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|V_k_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,$f38(V_k_2,V_n_2,V_P_2),V_k_2).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),$f39(V_k_2,V_n_2,V_P_2))),$f38(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| -hBOOL(hAPP(V_P_2,$f39(V_k_2,V_n_2,V_P_2))).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_a),V_b)),hAPP(hAPP(c_Complex_Ocomplex_OComplex,V_c),V_d))=hAPP(hAPP(c_Complex_Ocomplex_OComplex,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_b),V_d))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a),V_d)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_b),V_c))).
% 14.26/14.15 0 [] hAPP(c_Complex_OIm,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),V_x),V_y))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_Complex_OIm,V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)),hAPP(c_Complex_ORe,V_y))).
% 14.26/14.15 0 [] hAPP(c_Complex_ORe,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),V_x),V_y))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_Complex_ORe,V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)),hAPP(c_Complex_OIm,V_y))).
% 14.26/14.15 0 [] -class_RealVector_Otopological__space(T_a)| -c_Limits_Otendsto(tc_Nat_Onat,T_a,V_X_2,V_xa_2,c_Limits_Ose_quentially)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_l_2)|c_Limits_Otendsto(tc_Nat_Onat,T_a,c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat,V_X_2,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_l_2)),V_xa_2,c_Limits_Ose_quentially).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)|V_a!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_q,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a)|V_a!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_a)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_q).
% 14.26/14.15 0 [] -hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 14.26/14.15 0 [] -hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B_j)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,B_j,V_k_2)|V_n_2!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j)|hBOOL(hAPP(V_P_2,B_i)).
% 14.26/14.15 0 [] -hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,X8)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,X8,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|V_n_2!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),X7)),X8)|hBOOL(hAPP(V_P_2,X7)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,$f42(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,$f42(V_k_2,V_n_2,V_P_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f43(V_k_2,V_n_2,V_P_2))),$f42(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)| -hBOOL(hAPP(V_P_2,$f43(V_k_2,V_n_2,V_P_2))).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),$f40(V_k_2,V_n_2,V_P_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),$f40(V_k_2,V_n_2,V_P_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,$f42(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),$f40(V_k_2,V_n_2,V_P_2))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,$f42(V_k_2,V_n_2,V_P_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),$f40(V_k_2,V_n_2,V_P_2))|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f43(V_k_2,V_n_2,V_P_2))),$f42(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),$f40(V_k_2,V_n_2,V_P_2))| -hBOOL(hAPP(V_P_2,$f43(V_k_2,V_n_2,V_P_2))).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,$f40(V_k_2,V_n_2,V_P_2),V_k_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,$f40(V_k_2,V_n_2,V_P_2),V_k_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,$f42(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,$f40(V_k_2,V_n_2,V_P_2),V_k_2)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,$f42(V_k_2,V_n_2,V_P_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,$f40(V_k_2,V_n_2,V_P_2),V_k_2)|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f43(V_k_2,V_n_2,V_P_2))),$f42(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,$f40(V_k_2,V_n_2,V_P_2),V_k_2)| -hBOOL(hAPP(V_P_2,$f43(V_k_2,V_n_2,V_P_2))).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f41(V_k_2,V_n_2,V_P_2))),$f40(V_k_2,V_n_2,V_P_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f41(V_k_2,V_n_2,V_P_2))),$f40(V_k_2,V_n_2,V_P_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,$f42(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f41(V_k_2,V_n_2,V_P_2))),$f40(V_k_2,V_n_2,V_P_2))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,$f42(V_k_2,V_n_2,V_P_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f41(V_k_2,V_n_2,V_P_2))),$f40(V_k_2,V_n_2,V_P_2))|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f43(V_k_2,V_n_2,V_P_2))),$f42(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f41(V_k_2,V_n_2,V_P_2))),$f40(V_k_2,V_n_2,V_P_2))| -hBOOL(hAPP(V_P_2,$f43(V_k_2,V_n_2,V_P_2))).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -hBOOL(hAPP(V_P_2,$f41(V_k_2,V_n_2,V_P_2)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -hBOOL(hAPP(V_P_2,$f41(V_k_2,V_n_2,V_P_2)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,$f42(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -hBOOL(hAPP(V_P_2,$f41(V_k_2,V_n_2,V_P_2)))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,$f42(V_k_2,V_n_2,V_P_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -hBOOL(hAPP(V_P_2,$f41(V_k_2,V_n_2,V_P_2)))|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f43(V_k_2,V_n_2,V_P_2))),$f42(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))|V_k_2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -hBOOL(hAPP(V_P_2,$f41(V_k_2,V_n_2,V_P_2)))| -hBOOL(hAPP(V_P_2,$f43(V_k_2,V_n_2,V_P_2))).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,$f42(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,$f42(V_k_2,V_n_2,V_P_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f43(V_k_2,V_n_2,V_P_2))),$f42(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2)| -hBOOL(hAPP(V_P_2,$f43(V_k_2,V_n_2,V_P_2))).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),$f40(V_k_2,V_n_2,V_P_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),$f40(V_k_2,V_n_2,V_P_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,$f42(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),$f40(V_k_2,V_n_2,V_P_2))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,$f42(V_k_2,V_n_2,V_P_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),$f40(V_k_2,V_n_2,V_P_2))|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f43(V_k_2,V_n_2,V_P_2))),$f42(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),$f40(V_k_2,V_n_2,V_P_2))| -hBOOL(hAPP(V_P_2,$f43(V_k_2,V_n_2,V_P_2))).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,$f40(V_k_2,V_n_2,V_P_2),V_k_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,$f40(V_k_2,V_n_2,V_P_2),V_k_2)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,$f42(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,$f40(V_k_2,V_n_2,V_P_2),V_k_2)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,$f42(V_k_2,V_n_2,V_P_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,$f40(V_k_2,V_n_2,V_P_2),V_k_2)|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f43(V_k_2,V_n_2,V_P_2))),$f42(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,$f40(V_k_2,V_n_2,V_P_2),V_k_2)| -hBOOL(hAPP(V_P_2,$f43(V_k_2,V_n_2,V_P_2))).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f41(V_k_2,V_n_2,V_P_2))),$f40(V_k_2,V_n_2,V_P_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f41(V_k_2,V_n_2,V_P_2))),$f40(V_k_2,V_n_2,V_P_2))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,$f42(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f41(V_k_2,V_n_2,V_P_2))),$f40(V_k_2,V_n_2,V_P_2))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,$f42(V_k_2,V_n_2,V_P_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f41(V_k_2,V_n_2,V_P_2))),$f40(V_k_2,V_n_2,V_P_2))|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f43(V_k_2,V_n_2,V_P_2))),$f42(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f41(V_k_2,V_n_2,V_P_2))),$f40(V_k_2,V_n_2,V_P_2))| -hBOOL(hAPP(V_P_2,$f43(V_k_2,V_n_2,V_P_2))).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(V_P_2,$f41(V_k_2,V_n_2,V_P_2)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(V_P_2,$f41(V_k_2,V_n_2,V_P_2)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,$f42(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(V_P_2,$f41(V_k_2,V_n_2,V_P_2)))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,$f42(V_k_2,V_n_2,V_P_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(V_P_2,$f41(V_k_2,V_n_2,V_P_2)))|V_n_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),$f43(V_k_2,V_n_2,V_P_2))),$f42(V_k_2,V_n_2,V_P_2)).
% 14.26/14.15 0 [] hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2)))| -hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))| -hBOOL(hAPP(V_P_2,$f41(V_k_2,V_n_2,V_P_2)))| -hBOOL(hAPP(V_P_2,$f43(V_k_2,V_n_2,V_P_2))).
% 14.26/14.15 0 [] V_a_1!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_y)),V_r_1)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_1)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_1,V_r_1)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_r_1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|V_b_1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_1,V_b_1)=V_y.
% 14.26/14.15 0 [] V_a_1!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_y)),V_r_1)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_1)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_1,V_b_1)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_1)|V_b_1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_1,V_b_1)=V_y.
% 14.26/14.15 0 [] V_a_1!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_y)),V_r_1)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_1)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_1,V_b_1)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_1,V_r_1)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,V_r_1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|V_b_1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_1,V_b_1)=V_y.
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_b)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(V_a)),c_RComplete_Onatfloor(V_b)),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a),V_b))).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),V_x),V_y)=hAPP(hAPP(c_Complex_Ocomplex_OComplex,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_Complex_ORe,V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)),hAPP(c_Complex_OIm,V_y)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_Complex_OIm,V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)),hAPP(c_Complex_ORe,V_y)))).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d)|c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_z))),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d))).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d)|c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_z))),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d)),V_z).
% 14.26/14.15 0 [] hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex),V_x),V_y)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),V_x),hAPP(c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex),V_y)).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_k)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_z2)),V_z3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_z3)).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z).
% 14.26/14.15 0 [] V_m!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m)=c_Groups_Oone__class_Oone(tc_Nat_Onat).
% 14.26/14.15 0 [] V_m=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 14.26/14.15 0 [] V_m!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.15 0 [] V_m=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__ring__strict(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_xa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ya_2),V_ya_2))!=c_Groups_Ozero__class_Ozero(T_a)|V_xa_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.15 0 [] -class_Rings_Olinordered__ring__strict(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_xa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ya_2),V_ya_2))!=c_Groups_Ozero__class_Ozero(T_a)|V_ya_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.15 0 [] -class_Rings_Olinordered__ring__strict(T_a)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_xa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ya_2),V_ya_2))=c_Groups_Ozero__class_Ozero(T_a)|V_xa_2!=c_Groups_Ozero__class_Ozero(T_a)|V_ya_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.15 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_xa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ya_2),V_ya_2)),c_Groups_Ozero__class_Ozero(T_a))|V_xa_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.15 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_xa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ya_2),V_ya_2)),c_Groups_Ozero__class_Ozero(T_a))|V_ya_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.15 0 [] -class_Rings_Olinordered__ring__strict(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_xa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ya_2),V_ya_2)),c_Groups_Ozero__class_Ozero(T_a))|V_xa_2!=c_Groups_Ozero__class_Ozero(T_a)|V_ya_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.15 0 [] -class_Rings_Olinordered__ring(T_a)|c_Orderings_Oord__class_Oless__e_q(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y))).
% 14.26/14.15 0 [] -class_Rings_Olinordered__ring__strict(T_a)| -c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_xa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ya_2),V_ya_2)))|V_xa_2!=c_Groups_Ozero__class_Ozero(T_a)|V_ya_2!=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.15 0 [] -class_Rings_Olinordered__ring__strict(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_xa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ya_2),V_ya_2)))|V_xa_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.15 0 [] -class_Rings_Olinordered__ring__strict(T_a)|c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa_2),V_xa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ya_2),V_ya_2)))|V_ya_2=c_Groups_Ozero__class_Ozero(T_a).
% 14.26/14.15 0 [] -class_Rings_Olinordered__ring(T_a)| -c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y)),c_Groups_Ozero__class_Ozero(T_a)).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2,V_j_2)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2)).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2,V_j_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2)).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2,V_i_2)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2),V_n_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2,V_i_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2),V_n_2).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)|V_k_2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|V_m_2=V_n_2.
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)|V_k_2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)|V_m_2!=V_n_2.
% 14.26/14.15 0 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_k))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_u)),V_k).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)|V_m_2=V_n_2.
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)|V_m_2!=V_n_2.
% 14.26/14.15 0 [] V_k!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.15 0 [] V_k=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,V_n_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2,V_j_2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)|V_m_2=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2,V_j_2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)|V_m_2!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i,V_j)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_n))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_i)),V_u)),V_n)).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2,V_j_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2)).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_i_2,V_j_2)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2)).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2,V_i_2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)=V_n_2.
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2,V_i_2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)!=V_n_2.
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j,V_i)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_n))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_u)),V_m)),V_n).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2,V_i_2)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2),V_n_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,V_j_2,V_i_2)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2),V_n_2).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n).
% 14.26/14.15 0 [] V_b=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|V_n=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),V_b),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),$f44(V_n,V_b)),V_n)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 14.26/14.15 0 [] c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_xa_2))|V_xa_2=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.15 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_xa_2))|V_xa_2!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.15 0 [] hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r),V_r))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),V_a),V_r).
% 14.26/14.15 0 [] -class_Rings_Oidom(T_1)|class_Rings_Oidom(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Groups_Ocancel__comm__monoid__add(T_1)|class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Ocomm__semiring__0(T_1)|class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Ocomm__ring__1(T_1)|class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Ocomm__ring(T_1)|class_Rings_Ocomm__ring(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] class_Rings_Oidom(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Rings_Ocomm__ring(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Rings_Oidom(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Ocomm__ring__1(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Ocomm__ring(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Rings_Ocomm__semiring__0(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Rings_Oidom(tc_Int_Oint).
% 14.26/14.15 0 [] class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Ocomm__semiring__0(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Ocomm__ring__1(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Ocomm__ring(tc_Int_Oint).
% 14.26/14.15 0 [] -class_Orderings_Opreorder(T_1)|class_Orderings_Opreorder(tc_fun(T_2,T_1)).
% 14.26/14.15 0 [] -class_Orderings_Oorder(T_1)|class_Orderings_Oorder(tc_fun(T_2,T_1)).
% 14.26/14.15 0 [] -class_Orderings_Oord(T_1)|class_Orderings_Oord(tc_fun(T_2,T_1)).
% 14.26/14.15 0 [] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint).
% 14.26/14.15 0 [] class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint).
% 14.26/14.15 0 [] class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Olinordered__semiring__strict(tc_Int_Oint).
% 14.26/14.15 0 [] class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint).
% 14.26/14.15 0 [] class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint).
% 14.26/14.15 0 [] class_Groups_Oordered__comm__monoid__add(tc_Int_Oint).
% 14.26/14.15 0 [] class_Groups_Olinordered__ab__group__add(tc_Int_Oint).
% 14.26/14.15 0 [] class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Oordered__cancel__semiring(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Olinordered__ring__strict(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Oring__no__zero__divisors(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Oordered__comm__semiring(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Olinordered__semiring__1(tc_Int_Oint).
% 14.26/14.15 0 [] class_Groups_Oordered__ab__group__add(tc_Int_Oint).
% 14.26/14.15 0 [] class_Groups_Ocancel__semigroup__add(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Olinordered__semiring(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Olinordered__semidom(tc_Int_Oint).
% 14.26/14.15 0 [] class_Groups_Oab__semigroup__mult(tc_Int_Oint).
% 14.26/14.15 0 [] class_Groups_Ocomm__monoid__mult(tc_Int_Oint).
% 14.26/14.15 0 [] class_Groups_Oab__semigroup__add(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Oordered__semiring(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Oordered__ring__abs(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Ono__zero__divisors(tc_Int_Oint).
% 14.26/14.15 0 [] class_Groups_Ocomm__monoid__add(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Olinordered__ring(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Olinordered__idom(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Ocomm__semiring__1(tc_Int_Oint).
% 14.26/14.15 0 [] class_Divides_Osemiring__div(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Ocomm__semiring(tc_Int_Oint).
% 14.26/14.15 0 [] class_Groups_Oab__group__add(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Ozero__ne_q__one(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Oordered__ring(tc_Int_Oint).
% 14.26/14.15 0 [] class_Orderings_Opreorder(tc_Int_Oint).
% 14.26/14.15 0 [] class_Orderings_Olinorder(tc_Int_Oint).
% 14.26/14.15 0 [] class_Groups_Omonoid__mult(tc_Int_Oint).
% 14.26/14.15 0 [] class_Groups_Omonoid__add(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Osemiring__0(tc_Int_Oint).
% 14.26/14.15 0 [] class_Groups_Ogroup__add(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Omult__zero(tc_Int_Oint).
% 14.26/14.15 0 [] class_Orderings_Oorder(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Osemiring(tc_Int_Oint).
% 14.26/14.15 0 [] class_Orderings_Oord(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Oring__1(tc_Int_Oint).
% 14.26/14.15 0 [] class_Power_Opower(tc_Int_Oint).
% 14.26/14.15 0 [] class_Groups_Ozero(tc_Int_Oint).
% 14.26/14.15 0 [] class_Rings_Oring(tc_Int_Oint).
% 14.26/14.15 0 [] class_Groups_Oone(tc_Int_Oint).
% 14.26/14.15 0 [] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Rings_Olinordered__semiring__strict(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Rings_Oordered__cancel__semiring(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Rings_Oordered__comm__semiring(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Groups_Ocancel__semigroup__add(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Rings_Olinordered__semiring(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Rings_Olinordered__semidom(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Groups_Oab__semigroup__mult(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Groups_Ocomm__monoid__mult(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Groups_Oab__semigroup__add(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Rings_Oordered__semiring(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Rings_Ono__zero__divisors(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Groups_Ocomm__monoid__add(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Rings_Ocomm__semiring__1(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Divides_Osemiring__div(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Rings_Ocomm__semiring(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Rings_Ozero__ne_q__one(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Orderings_Opreorder(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Orderings_Olinorder(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Groups_Omonoid__mult(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Groups_Omonoid__add(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Rings_Osemiring__0(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Rings_Omult__zero(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Orderings_Oorder(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Rings_Osemiring(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Orderings_Oord(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Power_Opower(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Groups_Ozero(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Groups_Oone(tc_Nat_Onat).
% 14.26/14.15 0 [] class_Orderings_Opreorder(tc_HOL_Obool).
% 14.26/14.15 0 [] class_Orderings_Oorder(tc_HOL_Obool).
% 14.26/14.15 0 [] class_Orderings_Oord(tc_HOL_Obool).
% 14.26/14.15 0 [] class_Orderings_Opreorder(tc_Limits_Onet(T_1)).
% 14.26/14.15 0 [] class_Orderings_Oorder(tc_Limits_Onet(T_1)).
% 14.26/14.15 0 [] class_Orderings_Oord(tc_Limits_Onet(T_1)).
% 14.26/14.15 0 [] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_RealVector_Otopological__space(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_RealVector_Oreal__normed__field(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Olinordered__semiring(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Olinordered__semidom(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_RealVector_Ometric__space(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Oab__semigroup__add(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Fields_Olinordered__field(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Oordered__semiring(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Oordered__ring__abs(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Ono__zero__divisors(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Olinordered__ring(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Olinordered__idom(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_RealVector_Oreal__field(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Odivision__ring(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Ocomm__semiring(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Oab__group__add(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_SEQ_Ocomplete__space(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Ozero__ne_q__one(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Oordered__ring(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Orderings_Opreorder(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Orderings_Olinorder(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Omonoid__mult(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Omonoid__add(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Osemiring__0(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Ogroup__add(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Omult__zero(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Orderings_Oorder(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Osemiring(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Orderings_Oord(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Oring__1(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Fields_Ofield(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Power_Opower(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Ozero(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Rings_Oring(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Groups_Oone(tc_RealDef_Oreal).
% 14.26/14.15 0 [] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_RealVector_Otopological__space(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_RealVector_Ometric__space(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_RealVector_Oreal__field(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Rings_Odivision__ring(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Rings_Ocomm__semiring(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Groups_Oab__group__add(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_SEQ_Ocomplete__space(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Rings_Ozero__ne_q__one(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Groups_Omonoid__mult(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Groups_Omonoid__add(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Rings_Osemiring__0(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Groups_Ogroup__add(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Rings_Omult__zero(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Rings_Osemiring(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Rings_Oring__1(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Fields_Ofield(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Power_Opower(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Groups_Ozero(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Rings_Oring(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] class_Groups_Oone(tc_Complex_Ocomplex).
% 14.26/14.15 0 [] -class_Rings_Oidom(T_1)|class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Groups_Ocancel__comm__monoid__add(T_1)|class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Oidom(T_1)|class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Oidom(T_1)|class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Groups_Ocancel__comm__monoid__add(T_1)|class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Ocomm__semiring__0(T_1)|class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Ocomm__semiring__1(T_1)|class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Groups_Ocomm__monoid__add(T_1)|class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Rings_Oordered__semiring(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Oidom(T_1)|class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Groups_Ocomm__monoid__add(T_1)|class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Rings_Olinordered__ring(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Rings_Olinordered__idom(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Ocomm__semiring__1(T_1)|class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Fields_Ofield(T_1)|class_Divides_Osemiring__div(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Ocomm__semiring__0(T_1)|class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Groups_Oab__group__add(T_1)|class_Groups_Oab__group__add(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Ocomm__semiring__1(T_1)|class_Rings_Ozero__ne_q__one(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Rings_Oordered__ring(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Ocomm__semiring__1(T_1)|class_Groups_Omonoid__mult(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Groups_Ocomm__monoid__add(T_1)|class_Groups_Omonoid__add(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Ocomm__semiring__0(T_1)|class_Rings_Osemiring__0(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Groups_Oab__group__add(T_1)|class_Groups_Ogroup__add(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Ocomm__semiring__0(T_1)|class_Rings_Omult__zero(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Orderings_Oorder(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Ocomm__semiring__0(T_1)|class_Rings_Osemiring(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Olinordered__idom(T_1)|class_Orderings_Oord(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Ocomm__ring__1(T_1)|class_Rings_Oring__1(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Ocomm__semiring__1(T_1)|class_Power_Opower(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Groups_Ozero(T_1)|class_Groups_Ozero(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Ocomm__ring(T_1)|class_Rings_Oring(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] -class_Rings_Ocomm__semiring__1(T_1)|class_Groups_Oone(tc_Polynomial_Opoly(T_1)).
% 14.26/14.15 0 [] hAPP(c_COMBK(T_a,T_b,V_P),V_Q)=V_P.
% 14.26/14.15 0 [] hAPP(c_COMBB(T_b,T_a,T_c,V_P_2,V_Q_2),V_R_2)=hAPP(V_P_2,hAPP(V_Q_2,V_R_2)).
% 14.26/14.15 0 [] hAPP(c_COMBC(T_b,T_c,T_a,V_P_2,V_Q_2),V_R_2)=hAPP(hAPP(V_P_2,V_R_2),V_Q_2).
% 14.26/14.15 0 [] hAPP(c_COMBS(T_b,T_c,T_a,V_P_2,V_Q_2),V_R_2)=hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)).
% 14.26/14.15 0 [] -c_SEQ_Osubse_q(B_f)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),$f46(B_f,B_z)).
% 14.26/14.15 0 [] -c_SEQ_Osubse_q(B_f)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B_N,$f45(B_f,B_z,B_N)).
% 14.26/14.15 0 [] -c_SEQ_Osubse_q(B_f)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(B_f,$f45(B_f,B_z,B_N)))),B_z)),$f46(B_f,B_z)).
% 14.26/14.15 end_of_list.
% 14.26/14.15
% 14.26/14.15 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 14.26/14.15
% 14.26/14.15 This ia a non-Horn set with equality. The strategy will be
% 14.26/14.15 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 14.26/14.15 deletion, with positive clauses in sos and nonpositive
% 14.26/14.15 clauses in usable.
% 14.26/14.15
% 14.26/14.15 dependent: set(knuth_bendix).
% 14.26/14.15 dependent: set(anl_eq).
% 14.26/14.15 dependent: set(para_from).
% 14.26/14.15 dependent: set(para_into).
% 14.26/14.15 dependent: clear(para_from_right).
% 14.26/14.15 dependent: clear(para_into_right).
% 14.26/14.15 dependent: set(para_from_vars).
% 14.26/14.15 dependent: set(eq_units_both_ways).
% 14.26/14.15 dependent: set(dynamic_demod_all).
% 14.26/14.15 dependent: set(dynamic_demod).
% 14.26/14.15 dependent: set(order_eq).
% 14.26/14.15 dependent: set(back_demod).
% 14.26/14.15 dependent: set(lrpo).
% 14.26/14.15 dependent: set(hyper_res).
% 14.26/14.15 dependent: set(unit_deletion).
% 14.26/14.15 dependent: set(factor).
% 14.26/14.15
% 14.26/14.15 ------------> process usable:
% 14.26/14.15 ** KEPT (pick-wt=14): 1 [] hAPP(A,$f1(B,A))!=hAPP(B,$f1(B,A))|A=B.
% 14.26/14.15 ** KEPT (pick-wt=14): 2 [] -class_RealVector_Oreal__normed__vector(A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(A),B))|B!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.15 ** KEPT (pick-wt=14): 3 [] -class_RealVector_Oreal__normed__vector(A)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(A),B))|B=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.15 ** KEPT (pick-wt=10): 4 [] -class_RealVector_Oreal__normed__vector(A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),B),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.26/14.15 ** KEPT (pick-wt=10): 5 [] -class_RealVector_Oreal__normed__vector(A)|hAPP(c_RealVector_Onorm__class_Onorm(A),c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.15 ** KEPT (pick-wt=13): 6 [] -class_RealVector_Oreal__normed__vector(A)|hAPP(c_RealVector_Onorm__class_Onorm(A),B)!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|B=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.15 ** KEPT (pick-wt=13): 7 [] -class_RealVector_Oreal__normed__vector(A)|hAPP(c_RealVector_Onorm__class_Onorm(A),B)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|B!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.15 ** KEPT (pick-wt=16): 8 [] -class_Groups_Oordered__ab__group__add(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.15 ** KEPT (pick-wt=16): 9 [] -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.15 ** KEPT (pick-wt=16): 10 [] -class_Groups_Oordered__ab__group__add(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.15 ** KEPT (pick-wt=16): 11 [] -class_Groups_Oordered__ab__group__add(A)|c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.15 ** KEPT (pick-wt=6): 12 [] -class_Orderings_Opreorder(A)|c_Orderings_Oord__class_Oless__e_q(A,B,B).
% 14.26/14.15 ** KEPT (pick-wt=8): 13 [] -c_SEQ_Osubse_q(A)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B,hAPP(A,B)).
% 14.26/14.15 ** KEPT (pick-wt=21): 14 [] -class_RealVector_Oreal__normed__vector(A)|hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C))=hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),C),B)).
% 14.26/14.15 ** KEPT (pick-wt=23): 15 [] -class_Groups_Oordered__ab__group__add(A)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)!=hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),D),E)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,D,E).
% 14.26/14.15 ** KEPT (pick-wt=23): 16 [] -class_Groups_Oordered__ab__group__add(A)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)!=hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),D),E)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,E).
% 14.26/14.15 ** KEPT (pick-wt=23): 17 [] -class_Groups_Oordered__ab__group__add(A)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)!=hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),D),E)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless__e_q(A,D,E).
% 14.26/14.15 ** KEPT (pick-wt=23): 18 [] -class_Groups_Oordered__ab__group__add(A)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)!=hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),D),E)|c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,D,E).
% 14.26/14.15 ** KEPT (pick-wt=14): 19 [] -c_SEQ_Osubse_q(A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(A,B),hAPP(A,C)).
% 14.26/14.15 ** KEPT (pick-wt=12): 20 [] c_SEQ_Osubse_q(A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(A,$f3(A)),hAPP(A,$f2(A))).
% 14.26/14.15 ** KEPT (pick-wt=25): 21 [] -class_RealVector_Oreal__normed__vector(A)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(A),B)),hAPP(c_RealVector_Onorm__class_Onorm(A),C)),hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C))).
% 14.26/14.15 ** KEPT (pick-wt=10): 22 [] -class_RealVector_Oreal__normed__vector(A)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(A),B)).
% 14.26/14.15 ** KEPT (pick-wt=14): 23 [] -class_RealVector_Oreal__normed__vector(A)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),B),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|B=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.15 ** KEPT (pick-wt=14): 24 [] -class_RealVector_Oreal__normed__vector(A)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),B),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|B!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.15 ** KEPT (pick-wt=10): 25 [] -class_Groups_Ozero(A)|c_Groups_Ozero__class_Ozero(A)!=B|B=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.15 ** KEPT (pick-wt=10): 26 [] -class_Groups_Ozero(A)|c_Groups_Ozero__class_Ozero(A)=B|B!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.15 ** KEPT (pick-wt=10): 27 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless__e_q(A,C,B).
% 14.26/14.15 ** KEPT (pick-wt=16): 28 [] -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(C,E),hAPP(D,E)).
% 14.26/14.15 ** KEPT (pick-wt=14): 29 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,D,B)|c_Orderings_Oord__class_Oless__e_q(A,D,C).
% 14.26/14.15 ** KEPT (pick-wt=13): 30 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,C,B)|C=B.
% 14.26/14.15 ** KEPT (pick-wt=14): 31 [] -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,C,D)|c_Orderings_Oord__class_Oless__e_q(A,B,D).
% 14.26/14.15 Following clause subsumed by 30 during input processing: 0 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,C,B)|B=C.
% 14.26/14.15 ** KEPT (pick-wt=13): 32 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|B!=D|c_Orderings_Oord__class_Oless__e_q(A,D,C).
% 14.26/14.15 ** KEPT (pick-wt=13): 33 [] -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|C!=D|c_Orderings_Oord__class_Oless__e_q(A,B,D).
% 14.26/14.15 ** KEPT (pick-wt=13): 34 [] -class_Orderings_Oorder(A)|B!=C| -c_Orderings_Oord__class_Oless__e_q(A,D,C)|c_Orderings_Oord__class_Oless__e_q(A,D,B).
% 14.26/14.15 ** KEPT (pick-wt=13): 35 [] -class_Orderings_Oord(A)|B!=C| -c_Orderings_Oord__class_Oless__e_q(A,C,D)|c_Orderings_Oord__class_Oless__e_q(A,B,D).
% 14.26/14.15 Following clause subsumed by 30 during input processing: 0 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,C,B)|C=B.
% 14.26/14.15 ** KEPT (pick-wt=13): 36 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless__e_q(A,C,B)|C!=B.
% 14.26/14.15 Following clause subsumed by 28 during input processing: 0 [] -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(C,E),hAPP(D,E)).
% 14.26/14.15 ** KEPT (pick-wt=9): 37 [] -class_Orderings_Opreorder(A)|B!=C|c_Orderings_Oord__class_Oless__e_q(A,B,C).
% 14.26/14.15 ** KEPT (pick-wt=9): 38 [] -class_Orderings_Oorder(A)|B!=C|c_Orderings_Oord__class_Oless__e_q(A,B,C).
% 14.26/14.15 ** KEPT (pick-wt=9): 39 [] -class_Orderings_Oorder(A)|B!=C|c_Orderings_Oord__class_Oless__e_q(A,C,B).
% 14.26/14.15 Following clause subsumed by 30 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,C,B).
% 14.26/14.15 Following clause subsumed by 27 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless__e_q(A,C,B).
% 14.26/14.15 Following clause subsumed by 28 during input processing: 0 [] -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(C,E),hAPP(D,E)).
% 14.26/14.15 ** KEPT (pick-wt=24): 40 [] -class_Orderings_Oord(A)|c_Orderings_Oord__class_Oless__e_q(tc_fun(B,A),C,D)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(C,$f4(D,C,B,A)),hAPP(D,$f4(D,C,B,A))).
% 14.26/14.15 ** KEPT (pick-wt=13): 41 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,C,B).
% 14.26/14.15 ** KEPT (pick-wt=10): 42 [] -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 14.26/14.15 ** KEPT (pick-wt=14): 43 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,B)|c_Orderings_Oord__class_Oless(A,D,C).
% 14.26/14.15 ** KEPT (pick-wt=14): 44 [] -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,D)|c_Orderings_Oord__class_Oless(A,B,D).
% 14.26/14.15 ** KEPT (pick-wt=13): 45 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=D|c_Orderings_Oord__class_Oless(A,D,C).
% 14.26/14.15 ** KEPT (pick-wt=13): 46 [] -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless(A,B,C)|C!=D|c_Orderings_Oord__class_Oless(A,B,D).
% 14.26/14.15 ** KEPT (pick-wt=13): 47 [] -class_Orderings_Oorder(A)|B!=C| -c_Orderings_Oord__class_Oless(A,D,C)|c_Orderings_Oord__class_Oless(A,D,B).
% 14.26/14.15 ** KEPT (pick-wt=13): 48 [] -class_Orderings_Oord(A)|B!=C| -c_Orderings_Oord__class_Oless(A,C,D)|c_Orderings_Oord__class_Oless(A,B,D).
% 14.26/14.15 ** KEPT (pick-wt=10): 49 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 14.26/14.15 Following clause subsumed by 42 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 14.26/14.15 ** KEPT (pick-wt=9): 50 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|C!=B.
% 14.26/14.15 ** KEPT (pick-wt=9): 51 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 14.26/14.15 Following clause subsumed by 42 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 14.26/14.15 Following clause subsumed by 42 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 14.26/14.15 Following clause subsumed by 51 during input processing: 0 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 14.26/14.15 Following clause subsumed by 41 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 14.26/14.15 Following clause subsumed by 41 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B)|C=B.
% 14.26/14.15 ** KEPT (pick-wt=13): 52 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B)|C!=B.
% 14.26/14.15 Following clause subsumed by 41 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,C,B).
% 14.26/14.15 Following clause subsumed by 41 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B)|B=C.
% 14.26/14.15 ** KEPT (pick-wt=10): 53 [] -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 14.26/14.15 ** KEPT (pick-wt=9): 54 [] -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 14.26/14.15 Following clause subsumed by 41 during input processing: 0 [] -class_Orderings_Olinorder(A)|B=C|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 14.26/14.15 Following clause subsumed by 54 during input processing: 0 [] -class_Orderings_Olinorder(A)|B!=C| -c_Orderings_Oord__class_Oless(A,B,C).
% 14.26/14.15 ** KEPT (pick-wt=9): 55 [] -class_Orderings_Olinorder(A)|B!=C| -c_Orderings_Oord__class_Oless(A,C,B).
% 14.26/14.15 ** KEPT (pick-wt=6): 56 [] -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,B).
% 14.26/14.15 ** KEPT (pick-wt=21): 57 [] -class_Groups_Oab__group__add(A)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)!=hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),D),E)|B!=C|D=E.
% 14.26/14.15 ** KEPT (pick-wt=21): 58 [] -class_Groups_Oab__group__add(A)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)!=hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),D),E)|B=C|D!=E.
% 14.26/14.15 ** KEPT (pick-wt=14): 59 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,B)|c_Orderings_Oord__class_Oless(A,D,C).
% 14.26/14.15 ** KEPT (pick-wt=14): 60 [] -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,D)|c_Orderings_Oord__class_Oless(A,B,D).
% 14.26/14.15 ** KEPT (pick-wt=14): 61 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,D,B)|c_Orderings_Oord__class_Oless(A,D,C).
% 14.26/14.15 ** KEPT (pick-wt=14): 62 [] -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,C,D)|c_Orderings_Oord__class_Oless(A,B,D).
% 14.26/14.15 ** KEPT (pick-wt=13): 63 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|C=B|c_Orderings_Oord__class_Oless(A,B,C).
% 14.26/14.15 ** KEPT (pick-wt=13): 64 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|B=C|c_Orderings_Oord__class_Oless(A,B,C).
% 14.26/14.15 Following clause subsumed by 64 during input processing: 0 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 14.26/14.15 ** KEPT (pick-wt=13): 65 [] -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 14.26/14.15 Following clause subsumed by 54 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 14.26/14.15 ** KEPT (pick-wt=10): 66 [] -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__e_q(A,B,C).
% 14.26/14.15 ** KEPT (pick-wt=10): 67 [] -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 14.26/14.15 Following clause subsumed by 63 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_Orderings_Oord__class_Oless__e_q(A,C,B)|c_Orderings_Oord__class_Oless(A,C,B).
% 14.26/14.15 Following clause subsumed by 64 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C).
% 14.26/14.15 Following clause subsumed by 65 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|B=C.
% 14.26/14.15 ** KEPT (pick-wt=13): 68 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__e_q(A,B,C)|B!=C.
% 14.26/14.15 ** KEPT (pick-wt=10): 69 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 14.26/14.15 Following clause subsumed by 69 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__e_q(A,C,B).
% 14.26/14.15 Following clause subsumed by 64 during input processing: 0 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless(A,B,C)|B=C.
% 14.26/14.15 ** KEPT (pick-wt=10): 70 [] -class_Orderings_Oorder(A)|c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless(A,B,C).
% 14.26/14.15 Following clause subsumed by 38 during input processing: 0 [] -class_Orderings_Oorder(A)|c_Orderings_Oord__class_Oless__e_q(A,B,C)|B!=C.
% 14.26/14.15 Following clause subsumed by 66 during input processing: 0 [] -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__e_q(A,B,C).
% 14.26/14.15 ** KEPT (pick-wt=10): 71 [] -class_Orderings_Opreorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,C,B).
% 14.26/14.15 ** KEPT (pick-wt=14): 72 [] -class_Orderings_Opreorder(A)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless__e_q(A,C,B).
% 14.26/14.15 Following clause subsumed by 70 during input processing: 0 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__e_q(A,B,C).
% 14.26/14.15 Following clause subsumed by 51 during input processing: 0 [] -class_Orderings_Oorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)|B!=C.
% 14.26/14.15 Following clause subsumed by 64 during input processing: 0 [] -class_Orderings_Oorder(A)|c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|B=C.
% 14.26/14.15 Following clause subsumed by 69 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 14.26/14.15 Following clause subsumed by 69 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 14.26/14.15 Following clause subsumed by 67 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,B).
% 14.26/14.15 Following clause subsumed by 69 during input processing: 0 [] -class_Orderings_Olinorder(A)|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless__e_q(A,C,B).
% 14.26/14.15 Following clause subsumed by 67 during input processing: 0 [] -class_Orderings_Olinorder(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,C,B).
% 14.26/14.15 ** KEPT (pick-wt=14): 73 [] -class_Groups_Ogroup__add(A)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)!=c_Groups_Ozero__class_Ozero(A)|B=C.
% 14.26/14.15 ** KEPT (pick-wt=14): 74 [] -class_Groups_Ogroup__add(A)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)=c_Groups_Ozero__class_Ozero(A)|B!=C.
% 14.26/14.15 ** KEPT (pick-wt=14): 75 [] -class_Groups_Oab__group__add(A)|B!=C|hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.15 ** KEPT (pick-wt=14): 76 [] -class_Groups_Oab__group__add(A)|B=C|hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.15 ** KEPT (pick-wt=11): 77 [] -class_Groups_Ogroup__add(A)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),B)=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.15 ** KEPT (pick-wt=11): 78 [] -class_Groups_Ogroup__add(A)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),c_Groups_Ozero__class_Ozero(A))=B.
% 14.26/14.15 ** KEPT (pick-wt=11): 79 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,B)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)|A=B.
% 14.26/14.15 ** KEPT (pick-wt=8): 80 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,B)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B).
% 14.26/14.15 ** KEPT (pick-wt=7): 81 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,B)|A!=B.
% 14.26/14.15 Following clause subsumed by 80 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,B).
% 14.26/14.15 ** KEPT (pick-wt=7): 82 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)|A!=B.
% 14.26/14.15 Following clause subsumed by 79 during input processing: 0 [] c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,B)|A=B.
% 14.26/14.15 ** KEPT (pick-wt=14): 83 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),A),B),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.26/14.15 ** KEPT (pick-wt=14): 84 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),A),B),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.26/14.15 ** KEPT (pick-wt=17): 85 [] -class_Orderings_Oorder(A)| -c_SEQ_Odecse_q(A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C,D)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(B,D),hAPP(B,C)).
% 14.26/14.15 ** KEPT (pick-wt=13): 86 [] -class_Orderings_Oorder(A)|c_SEQ_Odecse_q(A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,$f6(B,A),$f5(B,A)).
% 14.26/14.15 ** KEPT (pick-wt=17): 87 [] -class_Orderings_Oorder(A)|c_SEQ_Odecse_q(A,B)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(B,$f5(B,A)),hAPP(B,$f6(B,A))).
% 14.26/14.15 ** KEPT (pick-wt=12): 88 [] -class_RealVector_Oreal__normed__vector(A)| -c_SEQ_OBse_q(A,B)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),$f7(B,A)).
% 14.26/14.15 ** KEPT (pick-wt=16): 89 [] -class_RealVector_Oreal__normed__vector(A)| -c_SEQ_OBse_q(A,B)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(B,C)),$f7(B,A)).
% 14.26/14.15 ** KEPT (pick-wt=22): 90 [] -class_RealVector_Oreal__normed__vector(A)|c_SEQ_OBse_q(A,B)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),C)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(B,$f8(B,A,C))),C).
% 14.26/14.15 ** KEPT (pick-wt=17): 91 [] -class_Orderings_Oorder(A)| -c_SEQ_Oincse_q(A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C,D)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(B,C),hAPP(B,D)).
% 14.26/14.15 ** KEPT (pick-wt=13): 92 [] -class_Orderings_Oorder(A)|c_SEQ_Oincse_q(A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,$f10(B,A),$f9(B,A)).
% 14.26/14.15 ** KEPT (pick-wt=17): 93 [] -class_Orderings_Oorder(A)|c_SEQ_Oincse_q(A,B)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(B,$f10(B,A)),hAPP(B,$f9(B,A))).
% 14.26/14.15 ** KEPT (pick-wt=35): 94 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,$f11(A),B)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),B))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),A).
% 14.26/14.15 ** KEPT (pick-wt=29): 95 [] -class_Orderings_Oorder(A)| -c_SEQ_Omonose_q(A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C,D)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(B,C),hAPP(B,D))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,E,F)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(B,F),hAPP(B,E)).
% 14.26/14.15 ** KEPT (pick-wt=13): 96 [] -class_Orderings_Oorder(A)|c_SEQ_Omonose_q(A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,$f13(B,A),$f12(B,A)).
% 14.26/14.16 ** KEPT (pick-wt=17): 97 [] -class_Orderings_Oorder(A)|c_SEQ_Omonose_q(A,B)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(B,$f13(B,A)),hAPP(B,$f12(B,A))).
% 14.26/14.16 ** KEPT (pick-wt=13): 98 [] -class_Orderings_Oorder(A)|c_SEQ_Omonose_q(A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,$f15(B,A),$f14(B,A)).
% 14.26/14.16 ** KEPT (pick-wt=17): 99 [] -class_Orderings_Oorder(A)|c_SEQ_Omonose_q(A,B)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(B,$f14(B,A)),hAPP(B,$f15(B,A))).
% 14.26/14.16 ** KEPT (pick-wt=13): 100 [] hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B).
% 14.26/14.16 ** KEPT (pick-wt=13): 101 [] hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B).
% 14.26/14.16 Following clause subsumed by 101 during input processing: 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.16 ** KEPT (pick-wt=22): 102 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C,A)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),C),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C)).
% 14.26/14.16 ** KEPT (pick-wt=5): 103 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.16 Following clause subsumed by 103 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.16 ** KEPT (pick-wt=4): 104 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,A).
% 14.26/14.16 ** KEPT (pick-wt=9): 105 [] A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 14.26/14.16 ** KEPT (pick-wt=7): 106 [] A!=B| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 14.26/14.16 ** KEPT (pick-wt=7): 107 [] A!=B| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A).
% 14.26/14.16 ** KEPT (pick-wt=14): 108 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A).
% 14.26/14.16 ** KEPT (pick-wt=14): 109 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,A).
% 14.26/14.16 Following clause subsumed by 103 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 14.26/14.16 ** KEPT (pick-wt=14): 110 [] -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__e_q(tc_fun(B,A),C,D).
% 14.26/14.16 ** KEPT (pick-wt=14): 111 [] -class_Orderings_Oord(A)| -c_Orderings_Oord__class_Oless(tc_fun(B,A),C,D)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(B,A),D,C).
% 14.26/14.16 ** KEPT (pick-wt=20): 112 [] -class_Orderings_Oord(A)|c_Orderings_Oord__class_Oless(tc_fun(B,A),C,D)| -c_Orderings_Oord__class_Oless__e_q(tc_fun(B,A),C,D)|c_Orderings_Oord__class_Oless__e_q(tc_fun(B,A),D,C).
% 14.26/14.16 ** KEPT (pick-wt=8): 113 [] -class_Orderings_Oorder(A)| -c_SEQ_Odecse_q(A,B)|c_SEQ_Omonose_q(A,B).
% 14.26/14.16 ** KEPT (pick-wt=8): 114 [] -class_Orderings_Oorder(A)| -c_SEQ_Oincse_q(A,B)|c_SEQ_Omonose_q(A,B).
% 14.26/14.16 ** KEPT (pick-wt=19): 115 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A),B).
% 14.26/14.16 Following clause subsumed by 104 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,A).
% 14.26/14.16 ** KEPT (pick-wt=8): 116 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.16 Following clause subsumed by 107 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|B!=A.
% 14.26/14.16 Following clause subsumed by 106 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 14.26/14.16 ** KEPT (pick-wt=13): 117 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),C),B).
% 14.26/14.16 ** KEPT (pick-wt=22): 118 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),C),B),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),C),A)).
% 14.26/14.16 ** KEPT (pick-wt=21): 119 [] hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|A=B.
% 14.26/14.16 ** KEPT (pick-wt=11): 120 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B,A)|A=B.
% 14.26/14.16 ** KEPT (pick-wt=12): 121 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B,C)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,C).
% 14.26/14.16 ** KEPT (pick-wt=7): 122 [] A!=B|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B).
% 14.26/14.16 ** KEPT (pick-wt=12): 123 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B,C)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,C).
% 14.26/14.16 ** KEPT (pick-wt=11): 124 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B,A)|A=B.
% 14.26/14.16 ** KEPT (pick-wt=9): 125 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.16 Following clause subsumed by 122 during input processing: 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.16 ** KEPT (pick-wt=8): 126 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B).
% 14.26/14.16 Following clause subsumed by 106 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A!=B.
% 14.26/14.16 ** KEPT (pick-wt=11): 127 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|A=B.
% 14.26/14.16 Following clause subsumed by 127 during input processing: 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|A=B.
% 14.26/14.16 Following clause subsumed by 126 during input processing: 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 14.26/14.16 Following clause subsumed by 122 during input processing: 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|A!=B.
% 14.26/14.16 Following clause subsumed by 126 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B).
% 14.26/14.16 Following clause subsumed by 127 during input processing: 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|A=B|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 14.26/14.16 Following clause subsumed by 126 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B).
% 14.26/14.16 Following clause subsumed by 122 during input processing: 0 [] A!=B|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B).
% 14.26/14.16 ** KEPT (pick-wt=18): 128 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),C),B),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),C),A)).
% 14.26/14.16 ** KEPT (pick-wt=18): 129 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),C),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C)).
% 14.26/14.16 ** KEPT (pick-wt=17): 130 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A))=A.
% 14.26/14.16 ** KEPT (pick-wt=24): 131 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,C)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)!=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),C),A)|B=C.
% 14.26/14.16 ** KEPT (pick-wt=24): 132 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,C)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),C),A)|B!=C.
% 14.26/14.16 ** KEPT (pick-wt=31): 133 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,C)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),C),A))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C).
% 14.26/14.16 ** KEPT (pick-wt=26): 134 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,C)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),C),A))|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B,C).
% 14.26/14.16 Following clause subsumed by 129 during input processing: 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,C)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),C),A))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B,C).
% 14.26/14.16 ** KEPT (pick-wt=26): 135 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,C)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),C),A))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 14.26/14.16 Following clause subsumed by 102 during input processing: 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),C),A))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 14.26/14.16 ** KEPT (pick-wt=12): 136 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,A),B)!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|A=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.16 ** KEPT (pick-wt=12): 137 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,A),B)!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|B=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.16 ** KEPT (pick-wt=16): 138 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,A),B)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|A!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|B!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.16 Following clause subsumed by 126 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B).
% 14.26/14.16 ** KEPT (pick-wt=12): 139 [] -class_RealVector_Oreal__normed__vector(A)| -c_SEQ_OBse_q(A,B)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),$f16(B,A)).
% 14.26/14.16 ** KEPT (pick-wt=16): 140 [] -class_RealVector_Oreal__normed__vector(A)| -c_SEQ_OBse_q(A,B)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(B,C)),$f16(B,A)).
% 14.26/14.16 ** KEPT (pick-wt=22): 141 [] -class_RealVector_Oreal__normed__vector(A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(C,$f17(C,B,A))),B)|c_SEQ_OBse_q(A,C).
% 14.26/14.16 ** KEPT (pick-wt=13): 142 [] -class_RealVector_Oreal__normed__vector(A)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B,$f18(C,D,B,A))|c_SEQ_OBse_q(A,D).
% 14.26/14.16 ** KEPT (pick-wt=18): 143 [] -class_RealVector_Oreal__normed__vector(A)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(B,$f18(C,B,D,A))),C)|c_SEQ_OBse_q(A,B).
% 14.26/14.16 ** KEPT (pick-wt=30): 144 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,$f19(A),B)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,B))))),v_y____)),A).
% 14.26/14.16 ** KEPT (pick-wt=13): 145 [] -class_Groups_Ozero(A)|c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(A,B)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 14.26/14.16 ** KEPT (pick-wt=13): 146 [] -class_Groups_Ozero(A)|c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 14.26/14.16 ** KEPT (pick-wt=14): 147 [] -class_Groups_Oordered__ab__group__add__abs(A)|hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(c_Groups_Oabs__class_Oabs(A),B))=hAPP(c_Groups_Oabs__class_Oabs(A),B).
% 14.26/14.16 ** KEPT (pick-wt=13): 148 [] -class_Groups_Oordered__ab__group__add__abs(A)|hAPP(c_Groups_Oabs__class_Oabs(A),B)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.16 ** KEPT (pick-wt=13): 149 [] -class_Groups_Oordered__ab__group__add__abs(A)|hAPP(c_Groups_Oabs__class_Oabs(A),B)=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.16 ** KEPT (pick-wt=10): 150 [] -class_Groups_Oordered__ab__group__add__abs(A)|hAPP(c_Groups_Oabs__class_Oabs(A),c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.16 ** KEPT (pick-wt=13): 151 [] -class_Groups_Oordered__ab__group__add__abs(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(c_Groups_Oabs__class_Oabs(A),B),C)|c_Orderings_Oord__class_Oless__e_q(A,B,C).
% 14.26/14.16 ** KEPT (pick-wt=9): 152 [] -class_Groups_Oordered__ab__group__add__abs(A)|c_Orderings_Oord__class_Oless__e_q(A,B,hAPP(c_Groups_Oabs__class_Oabs(A),B)).
% 14.26/14.16 ** KEPT (pick-wt=21): 153 [] -class_Groups_Oordered__ab__group__add__abs(A)|hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C))=hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),C),B)).
% 14.26/14.16 ** KEPT (pick-wt=14): 154 [] -class_RealVector_Oreal__normed__vector(A)|hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(A),B))=hAPP(c_RealVector_Onorm__class_Onorm(A),B).
% 14.26/14.16 ** KEPT (pick-wt=13): 155 [] -class_Groups_Oordered__ab__group__add__abs(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)|hAPP(c_Groups_Oabs__class_Oabs(A),B)=B.
% 14.26/14.16 ** KEPT (pick-wt=14): 156 [] -class_Groups_Oordered__ab__group__add__abs(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(c_Groups_Oabs__class_Oabs(A),B),c_Groups_Ozero__class_Ozero(A))|B=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.16 ** KEPT (pick-wt=14): 157 [] -class_Groups_Oordered__ab__group__add__abs(A)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(c_Groups_Oabs__class_Oabs(A),B),c_Groups_Ozero__class_Ozero(A))|B!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.16 ** KEPT (pick-wt=10): 158 [] -class_Groups_Oordered__ab__group__add__abs(A)|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(c_Groups_Oabs__class_Oabs(A),B)).
% 14.26/14.16 ** KEPT (pick-wt=13): 159 [] -class_Groups_Oordered__ab__group__add__abs(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|hAPP(c_Groups_Oabs__class_Oabs(A),B)=B.
% 14.26/14.16 ** KEPT (pick-wt=14): 160 [] -class_Groups_Oordered__ab__group__add__abs(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(c_Groups_Oabs__class_Oabs(A),B))|B!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.16 ** KEPT (pick-wt=14): 161 [] -class_Groups_Oordered__ab__group__add__abs(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(c_Groups_Oabs__class_Oabs(A),B))|B=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.16 ** KEPT (pick-wt=10): 162 [] -class_Groups_Oordered__ab__group__add__abs(A)| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Oabs__class_Oabs(A),B),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.16 ** KEPT (pick-wt=25): 163 [] -class_Groups_Oordered__ab__group__add__abs(A)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(c_Groups_Oabs__class_Oabs(A),B)),hAPP(c_Groups_Oabs__class_Oabs(A),C)),hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),C),B))).
% 14.26/14.16 ** KEPT (pick-wt=25): 164 [] -class_Groups_Oordered__ab__group__add__abs(A)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(c_Groups_Oabs__class_Oabs(A),B)),hAPP(c_Groups_Oabs__class_Oabs(A),C)),hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C))).
% 14.26/14.16 ** KEPT (pick-wt=28): 165 [] -class_Groups_Oordered__ab__group__add__abs(A)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(c_Groups_Oabs__class_Oabs(A),B)),hAPP(c_Groups_Oabs__class_Oabs(A),C))),hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C))).
% 14.26/14.16 ** KEPT (pick-wt=28): 166 [] hAPP(A,hAPP(B,C))!=hAPP(D,hAPP(E,F))|hAPP(c_Fun_Ocomp(G,H,I,A,B),C)=hAPP(c_Fun_Ocomp(J,H,K,D,E),F).
% 14.26/14.16 ** KEPT (pick-wt=14): 167 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,A),B)!=hAPP(hAPP(c_Complex_Ocomplex_OComplex,C),D)|A=C.
% 14.26/14.16 ** KEPT (pick-wt=14): 168 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,A),B)!=hAPP(hAPP(c_Complex_Ocomplex_OComplex,C),D)|B=D.
% 14.26/14.16 ** KEPT (pick-wt=17): 169 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,A),B)=hAPP(hAPP(c_Complex_Ocomplex_OComplex,C),D)|A!=C|B!=D.
% 14.26/14.16 ** KEPT (pick-wt=28): 170 [] -class_RealVector_Oreal__normed__vector(A)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(A),B)),hAPP(c_RealVector_Onorm__class_Onorm(A),C))),hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C))).
% 14.26/14.16 ** KEPT (pick-wt=28): 171 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,$f20(A),B)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,hAPP(v_s,hAPP(v_f____,B)))),v_x____)),A).
% 14.26/14.16 ** KEPT (pick-wt=16): 172 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B,C)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),$f21(C,B,A)).
% 14.26/14.16 ** KEPT (pick-wt=27): 173 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B,C)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),B),D)),$f21(C,B,A))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,D).
% 14.26/14.16 ** KEPT (pick-wt=27): 174 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,B)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B,C)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),B),D)),$f21(C,B,A))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,D,C).
% 14.26/14.16 ** KEPT (pick-wt=17): 175 [] -class_RealVector_Oreal__normed__vector(A)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(B,$f22(C,B,A))),C)|c_SEQ_OBse_q(A,B).
% 14.26/14.16 ** KEPT (pick-wt=35): 176 [] -class_Groups_Oab__group__add(A)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),E))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),D)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),C),E)).
% 14.26/14.16 ** KEPT (pick-wt=10): 177 [] -class_Groups_Oone(A)|c_Groups_Oone__class_Oone(A)!=B|B=c_Groups_Oone__class_Oone(A).
% 14.26/14.16 ** KEPT (pick-wt=10): 178 [] -class_Groups_Oone(A)|c_Groups_Oone__class_Oone(A)=B|B!=c_Groups_Oone__class_Oone(A).
% 14.26/14.16 ** KEPT (pick-wt=25): 179 [] -class_Groups_Oab__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 14.26/14.16 ** KEPT (pick-wt=18): 180 [] -class_Groups_Ocancel__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)|C=D.
% 14.26/14.16 ** KEPT (pick-wt=18): 181 [] -class_Groups_Ocancel__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)|C!=D.
% 14.26/14.16 ** KEPT (pick-wt=18): 182 [] -class_Groups_Ocancel__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)|B=D.
% 14.26/14.16 ** KEPT (pick-wt=18): 183 [] -class_Groups_Ocancel__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)|B!=D.
% 14.26/14.16 Following clause subsumed by 180 during input processing: 0 [] -class_Groups_Ocancel__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)|C=D.
% 14.26/14.16 ** KEPT (pick-wt=18): 184 [] -class_Groups_Ocancel__ab__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)|C=D.
% 14.26/14.16 Following clause subsumed by 182 during input processing: 0 [] -class_Groups_Ocancel__semigroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)|B=D.
% 14.26/14.16 ** KEPT (pick-wt=10): 185 [] -class_RealVector_Oreal__normed__algebra__1(A)|hAPP(c_RealVector_Onorm__class_Onorm(A),c_Groups_Oone__class_Oone(A))=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 14.26/14.16 ** KEPT (pick-wt=25): 186 [] -class_RealVector_Oreal__normed__vector(A)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(A),B)),hAPP(c_RealVector_Onorm__class_Onorm(A),C))).
% 14.26/14.16 ** KEPT (pick-wt=33): 187 [] -class_RealVector_Oreal__normed__vector(A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),B),C)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),D),E)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),C),E)).
% 14.26/14.16 ** KEPT (pick-wt=13): 188 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),A)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),A).
% 14.26/14.16 ** KEPT (pick-wt=11): 189 [] -class_Groups_Omonoid__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),c_Groups_Ozero__class_Ozero(A)),B)=B.
% 14.26/14.16 ** KEPT (pick-wt=11): 190 [] -class_Groups_Ocomm__monoid__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),c_Groups_Ozero__class_Ozero(A)),B)=B.
% 14.26/14.16 ** KEPT (pick-wt=15): 191 [] -class_Groups_Olinordered__ab__group__add(A)|c_Groups_Ozero__class_Ozero(A)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),B)|B=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.16 ** KEPT (pick-wt=15): 192 [] -class_Groups_Olinordered__ab__group__add(A)|c_Groups_Ozero__class_Ozero(A)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),B)|B!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.16 ** KEPT (pick-wt=11): 193 [] -class_Groups_Omonoid__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),c_Groups_Ozero__class_Ozero(A))=B.
% 14.26/14.16 ** KEPT (pick-wt=11): 194 [] -class_Groups_Ocomm__monoid__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),c_Groups_Ozero__class_Ozero(A))=B.
% 14.26/14.16 ** KEPT (pick-wt=20): 195 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C))|c_Orderings_Oord__class_Oless__e_q(A,B,D).
% 14.26/14.16 ** KEPT (pick-wt=20): 196 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C))| -c_Orderings_Oord__class_Oless__e_q(A,B,D).
% 14.26/14.16 ** KEPT (pick-wt=20): 197 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D))|c_Orderings_Oord__class_Oless__e_q(A,C,D).
% 14.26/14.16 ** KEPT (pick-wt=20): 198 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D))| -c_Orderings_Oord__class_Oless__e_q(A,C,D).
% 14.26/14.16 ** KEPT (pick-wt=20): 199 [] -class_Groups_Oordered__ab__semigroup__add(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 14.26/14.16 ** KEPT (pick-wt=20): 200 [] -class_Groups_Oordered__ab__semigroup__add(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)).
% 14.26/14.16 ** KEPT (pick-wt=24): 201 [] -class_Groups_Oordered__ab__semigroup__add(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,D,E)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),E)).
% 14.26/14.16 Following clause subsumed by 195 during input processing: 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C))|c_Orderings_Oord__class_Oless__e_q(A,B,D).
% 14.26/14.16 Following clause subsumed by 197 during input processing: 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D))|c_Orderings_Oord__class_Oless__e_q(A,C,D).
% 14.26/14.16 ** KEPT (pick-wt=20): 202 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C))|c_Orderings_Oord__class_Oless(A,B,D).
% 14.26/14.16 ** KEPT (pick-wt=20): 203 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C))| -c_Orderings_Oord__class_Oless(A,B,D).
% 14.26/14.16 ** KEPT (pick-wt=20): 204 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D))|c_Orderings_Oord__class_Oless(A,C,D).
% 14.26/14.16 ** KEPT (pick-wt=20): 205 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D))| -c_Orderings_Oord__class_Oless(A,C,D).
% 14.26/14.16 ** KEPT (pick-wt=20): 206 [] -class_Groups_Oordered__cancel__ab__semigroup__add(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 14.26/14.16 ** KEPT (pick-wt=20): 207 [] -class_Groups_Oordered__cancel__ab__semigroup__add(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C)).
% 14.26/14.16 ** KEPT (pick-wt=24): 208 [] -class_Groups_Oordered__cancel__ab__semigroup__add(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,E)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),E)).
% 14.26/14.16 Following clause subsumed by 202 during input processing: 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),C))|c_Orderings_Oord__class_Oless(A,B,D).
% 14.26/14.16 Following clause subsumed by 204 during input processing: 0 [] -class_Groups_Oordered__ab__semigroup__add__imp__le(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D))|c_Orderings_Oord__class_Oless(A,C,D).
% 14.26/14.16 ** KEPT (pick-wt=15): 209 [] -class_Groups_Ogroup__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)),C)=B.
% 14.26/14.16 ** KEPT (pick-wt=15): 210 [] -class_Groups_Ogroup__add(A)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),C)=B.
% 14.26/14.16 ** KEPT (pick-wt=17): 211 [] hAPP(c_Complex_ORe,A)!=hAPP(c_Complex_ORe,B)|hAPP(c_Complex_OIm,A)!=hAPP(c_Complex_OIm,B)|A=B.
% 14.26/14.16 ** KEPT (pick-wt=10): 212 [] A!=B|hAPP(c_Complex_ORe,A)=hAPP(c_Complex_ORe,B).
% 14.26/14.16 ** KEPT (pick-wt=10): 213 [] A!=B|hAPP(c_Complex_OIm,A)=hAPP(c_Complex_OIm,B).
% 14.26/14.16 Following clause subsumed by 211 during input processing: 0 [] A=B|hAPP(c_Complex_ORe,A)!=hAPP(c_Complex_ORe,B)|hAPP(c_Complex_OIm,A)!=hAPP(c_Complex_OIm,B).
% 14.26/14.16 ** KEPT (pick-wt=18): 214 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),C),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),C),B)).
% 14.26/14.16 ** KEPT (pick-wt=30): 215 [] -class_Groups_Oordered__ab__group__add__abs(A)|hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(c_Groups_Oabs__class_Oabs(A),B)),hAPP(c_Groups_Oabs__class_Oabs(A),C)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(c_Groups_Oabs__class_Oabs(A),B)),hAPP(c_Groups_Oabs__class_Oabs(A),C)).
% 14.26/14.16 ** KEPT (pick-wt=5): 216 [] c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 14.26/14.16 ** KEPT (pick-wt=45): 217 [] -class_RealVector_Oreal__normed__vector(A)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),E))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),D))),hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),C),E)))).
% 14.26/14.16 ** KEPT (pick-wt=17): 218 [] -class_Groups_Olinordered__ab__group__add(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),B))|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B).
% 14.26/14.16 ** KEPT (pick-wt=17): 219 [] -class_Groups_Olinordered__ab__group__add(A)|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),B))| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B).
% 14.26/14.16 ** KEPT (pick-wt=17): 220 [] -class_Groups_Olinordered__ab__group__add(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),B),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.16 ** KEPT (pick-wt=17): 221 [] -class_Groups_Olinordered__ab__group__add(A)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),B),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.16 ** KEPT (pick-wt=22): 222 [] -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)).
% 14.26/14.16 ** KEPT (pick-wt=25): 223 [] -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.16 ** KEPT (pick-wt=25): 224 [] -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.16 ** KEPT (pick-wt=29): 225 [] -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A)|C!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.16 ** KEPT (pick-wt=20): 226 [] -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,C,D)|c_Orderings_Oord__class_Oless__e_q(A,C,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)).
% 14.26/14.16 ** KEPT (pick-wt=20): 227 [] -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,C,D)|c_Orderings_Oord__class_Oless__e_q(A,C,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),B)).
% 14.26/14.16 ** KEPT (pick-wt=22): 228 [] -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.16 ** KEPT (pick-wt=17): 229 [] -class_Groups_Olinordered__ab__group__add(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),B))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 14.26/14.16 ** KEPT (pick-wt=17): 230 [] -class_Groups_Olinordered__ab__group__add(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),B))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 14.26/14.16 ** KEPT (pick-wt=17): 231 [] -class_Groups_Olinordered__ab__group__add(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),B),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.16 ** KEPT (pick-wt=17): 232 [] -class_Groups_Olinordered__ab__group__add(A)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),B),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.16 ** KEPT (pick-wt=22): 233 [] -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)).
% 14.26/14.16 ** KEPT (pick-wt=22): 234 [] -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.16 ** KEPT (pick-wt=24): 235 [] -class_Groups_Oordered__cancel__ab__semigroup__add(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,D,E)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),E)).
% 14.26/14.16 ** KEPT (pick-wt=24): 236 [] -class_Groups_Oordered__cancel__ab__semigroup__add(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,E)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),E)).
% 14.26/14.16 ** KEPT (pick-wt=25): 237 [] -class_Groups_Oordered__ab__group__add__abs(A)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(c_Groups_Oabs__class_Oabs(A),B)),hAPP(c_Groups_Oabs__class_Oabs(A),C))).
% 14.26/14.16 ** KEPT (pick-wt=22): 238 [] -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)).
% 14.26/14.16 ** KEPT (pick-wt=22): 239 [] -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)).
% 14.26/14.16 ** KEPT (pick-wt=20): 240 [] -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,C,D)|c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)).
% 14.26/14.16 ** KEPT (pick-wt=20): 241 [] -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,D)|c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)).
% 14.26/14.16 ** KEPT (pick-wt=22): 242 [] -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.16 ** KEPT (pick-wt=22): 243 [] -class_Groups_Oordered__comm__monoid__add(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.16 ** KEPT (pick-wt=25): 244 [] -class_Groups_Oordered__ab__group__add__abs(A)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(c_Groups_Oabs__class_Oabs(A),B)),hAPP(c_Groups_Oabs__class_Oabs(A),C))).
% 14.26/14.16 ** KEPT (pick-wt=45): 245 [] -class_Groups_Oordered__ab__group__add__abs(A)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),E))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),D))),hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),C),E)))).
% 14.26/14.16 ** KEPT (pick-wt=25): 246 [] -class_RealVector_Oreal__normed__vector(A)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(A),B)),hAPP(c_RealVector_Onorm__class_Onorm(A),C))).
% 14.26/14.16 ** KEPT (pick-wt=25): 247 [] -class_RealVector_Oreal__normed__vector(A)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(A),B)),hAPP(c_RealVector_Onorm__class_Onorm(A),C)),hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C))).
% 14.26/14.16 ** KEPT (pick-wt=23): 248 [] -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)),D)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),C),D),B).
% 14.26/14.16 ** KEPT (pick-wt=23): 249 [] -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)),D)|c_Orderings_Oord__class_Oless(A,B,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 14.26/14.16 ** KEPT (pick-wt=32): 250 [] -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)),D)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),C),D),B)| -c_Orderings_Oord__class_Oless(A,B,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 14.26/14.16 ** KEPT (pick-wt=14): 251 [] -class_Rings_Olinordered__semidom(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),c_Groups_Oone__class_Oone(A)),c_Groups_Oone__class_Oone(A))).
% 14.26/14.16 ** KEPT (pick-wt=21): 252 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,A,B,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_RealDef_Oreal,tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),A),hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),B),c_Limits_Ose_quentially).
% 14.26/14.16 ** KEPT (pick-wt=8): 253 [] -class_RealVector_Ometric__space(A)|c_SEQ_Oconvergent(A,c_COMBK(A,tc_Nat_Onat,B)).
% 14.26/14.16 ** KEPT (pick-wt=14): 254 [] -class_RealVector_Ometric__space(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,c_COMBK(A,tc_Nat_Onat,B),C,c_Limits_Ose_quentially)|B=C.
% 14.26/14.16 ** KEPT (pick-wt=14): 255 [] -class_RealVector_Ometric__space(A)|c_Limits_Otendsto(tc_Nat_Onat,A,c_COMBK(A,tc_Nat_Onat,B),C,c_Limits_Ose_quentially)|B!=C.
% 14.26/14.16 ** KEPT (pick-wt=11): 256 [] -class_RealVector_Otopological__space(A)|c_Limits_Otendsto(tc_Nat_Onat,A,c_COMBK(A,tc_Nat_Onat,B),B,c_Limits_Ose_quentially).
% 14.26/14.16 ** KEPT (pick-wt=23): 257 [] -class_RealVector_Oreal__normed__vector(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(A,tc_RealDef_Oreal,tc_Nat_Onat,c_RealVector_Onorm__class_Onorm(A),B),hAPP(c_RealVector_Onorm__class_Onorm(A),C),c_Limits_Ose_quentially).
% 14.26/14.16 ** KEPT (pick-wt=25): 258 [] -class_RealVector_Otopological__space(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,A,c_COMBB(tc_Nat_Onat,A,tc_Nat_Onat,B,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),D)),C,c_Limits_Ose_quentially).
% 14.26/14.16 ** KEPT (pick-wt=32): 259 [] -class_RealVector_Oreal__normed__vector(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,A,c_COMBC(tc_Nat_Onat,A,A,c_COMBB(A,tc_fun(A,A),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(A),B),D),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D),c_Limits_Ose_quentially).
% 14.26/14.16 ** KEPT (pick-wt=38): 260 [] -class_RealVector_Oreal__normed__vector(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,A,D,E,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,A,c_COMBS(tc_Nat_Onat,A,A,c_COMBB(A,tc_fun(A,A),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(A),B),D),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),E),c_Limits_Ose_quentially).
% 14.26/14.16 ** KEPT (pick-wt=25): 261 [] -class_RealVector_Otopological__space(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,c_COMBB(tc_Nat_Onat,A,tc_Nat_Onat,B,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C)),D,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,A,B,D,c_Limits_Ose_quentially).
% 14.26/14.16 ** KEPT (pick-wt=38): 262 [] -class_RealVector_Oreal__normed__vector(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,A,D,E,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,A,c_COMBS(tc_Nat_Onat,A,A,c_COMBB(A,tc_fun(A,A),tc_Nat_Onat,c_Groups_Ominus__class_Ominus(A),B),D),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),C),E),c_Limits_Ose_quentially).
% 14.26/14.16 ** KEPT (pick-wt=32): 263 [] -class_RealVector_Oreal__normed__vector(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,A,c_COMBC(tc_Nat_Onat,A,A,c_COMBB(A,tc_fun(A,A),tc_Nat_Onat,c_Groups_Ominus__class_Ominus(A),B),D),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),C),D),c_Limits_Ose_quentially).
% 14.26/14.16 ** KEPT (pick-wt=15): 264 [] -c_SEQ_Odecse_q(tc_RealDef_Oreal,A)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,A,B,c_Limits_Ose_quentially)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B,hAPP(A,C)).
% 14.26/14.16 ** KEPT (pick-wt=15): 265 [] -c_SEQ_Oincse_q(tc_RealDef_Oreal,A)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,A,B,c_Limits_Ose_quentially)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(A,C),B).
% 14.26/14.16 ** KEPT (pick-wt=17): 266 [] -class_RealVector_Ometric__space(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,D,c_Limits_Ose_quentially)|C=D.
% 14.26/14.16 ** KEPT (pick-wt=11): 267 [] -class_RealVector_Ometric__space(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)|c_SEQ_Oconvergent(A,B).
% 14.26/14.16 ** KEPT (pick-wt=13): 268 [] -class_RealVector_Ometric__space(A)| -c_SEQ_Oconvergent(A,B)|c_Limits_Otendsto(tc_Nat_Onat,A,B,$f23(B,A),c_Limits_Ose_quentially).
% 14.26/14.16 Following clause subsumed by 267 during input processing: 0 [] -class_RealVector_Ometric__space(A)|c_SEQ_Oconvergent(A,B)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially).
% 14.26/14.16 ** KEPT (pick-wt=18): 269 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,A,B,c_Limits_Ose_quentially)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C,$f24(D,B,A,C))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,D,B).
% 14.26/14.16 ** KEPT (pick-wt=20): 270 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,A,B,c_Limits_Ose_quentially)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,C,hAPP(A,$f24(C,B,A,D)))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,C,B).
% 14.26/14.16 ** KEPT (pick-wt=18): 271 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,A,B,c_Limits_Ose_quentially)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C,$f25(D,B,A,C))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B,D).
% 14.26/14.16 ** KEPT (pick-wt=20): 272 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,A,B,c_Limits_Ose_quentially)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(A,$f25(C,B,A,D)),C)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B,C).
% 14.26/14.16 ** KEPT (pick-wt=25): 273 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,A,B,c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,C,D,c_Limits_Ose_quentially)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,E,$f26(D,C,B,A,E))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B,D).
% 14.26/14.16 ** KEPT (pick-wt=34): 274 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,A,B,c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,C,D,c_Limits_Ose_quentially)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(A,$f26(D,C,B,A,E)),hAPP(C,$f26(D,C,B,A,E)))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B,D).
% 14.26/14.16 ** KEPT (pick-wt=22): 275 [] -class_RealVector_Oreal__normed__vector(A)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(A,tc_RealDef_Oreal,tc_Nat_Onat,c_RealVector_Onorm__class_Onorm(A),B),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,A,B,c_Groups_Ozero__class_Ozero(A),c_Limits_Ose_quentially).
% 14.26/14.16 ** KEPT (pick-wt=22): 276 [] -class_RealVector_Oreal__normed__vector(A)|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(A,tc_RealDef_Oreal,tc_Nat_Onat,c_RealVector_Onorm__class_Onorm(A),B),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,c_Groups_Ozero__class_Ozero(A),c_Limits_Ose_quentially).
% 14.26/14.16 ** KEPT (pick-wt=34): 277 [] -class_RealVector_Oreal__normed__vector(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,A,c_COMBS(tc_Nat_Onat,A,A,c_COMBB(A,tc_fun(A,A),tc_Nat_Onat,c_Groups_Ominus__class_Ominus(A),D),B),c_Groups_Ozero__class_Ozero(A),c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,A,D,C,c_Limits_Ose_quentially).
% 14.26/14.16 ** KEPT (pick-wt=34): 278 [] -class_RealVector_Oreal__normed__vector(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,A,c_COMBS(tc_Nat_Onat,A,A,c_COMBB(A,tc_fun(A,A),tc_Nat_Onat,c_Groups_Ominus__class_Ominus(A),B),D),c_Groups_Ozero__class_Ozero(A),c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,A,D,C,c_Limits_Ose_quentially).
% 14.26/14.16 ** KEPT (pick-wt=20): 279 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_RealDef_Oreal,tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),A),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,A,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially).
% 14.26/14.16 ** KEPT (pick-wt=20): 280 [] c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_RealDef_Oreal,tc_RealDef_Oreal,tc_Nat_Onat,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),A),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,A,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially).
% 14.26/14.16 ** KEPT (pick-wt=12): 281 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)!=A|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.16 ** KEPT (pick-wt=13): 282 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.16 ** KEPT (pick-wt=13): 283 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.16 ** KEPT (pick-wt=17): 284 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.16 ** KEPT (pick-wt=13): 285 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B)).
% 14.26/14.16 ** KEPT (pick-wt=13): 286 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C)).
% 14.26/14.16 ** KEPT (pick-wt=13): 287 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B),C)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,C).
% 14.26/14.16 ** KEPT (pick-wt=21): 288 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),D)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D).
% 14.26/14.16 ** KEPT (pick-wt=22): 289 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),D)).
% 14.26/14.16 ** KEPT (pick-wt=18): 290 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C)).
% 14.26/14.16 Following clause subsumed by 285 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B)).
% 14.26/14.16 Following clause subsumed by 286 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C)).
% 14.26/14.16 ** KEPT (pick-wt=18): 291 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 14.26/14.16 ** KEPT (pick-wt=18): 292 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 14.26/14.16 ** KEPT (pick-wt=9): 293 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B),B).
% 14.26/14.16 ** KEPT (pick-wt=9): 294 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B),A).
% 14.26/14.16 ** KEPT (pick-wt=13): 295 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B)).
% 14.26/14.16 ** KEPT (pick-wt=13): 296 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C)).
% 14.26/14.16 ** KEPT (pick-wt=13): 297 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B),C)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,C).
% 14.26/14.16 ** KEPT (pick-wt=13): 298 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B),C)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B,C).
% 14.26/14.16 Following clause subsumed by 297 during input processing: 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B),C)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,C).
% 14.26/14.16 Following clause subsumed by 298 during input processing: 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B),C)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B,C).
% 14.26/14.16 ** KEPT (pick-wt=22): 299 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C,D)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),D)).
% 14.26/14.16 ** KEPT (pick-wt=18): 300 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C)).
% 14.26/14.16 Following clause subsumed by 295 during input processing: 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B)).
% 14.26/14.16 Following clause subsumed by 296 during input processing: 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C)).
% 14.26/14.16 ** KEPT (pick-wt=18): 301 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C))|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B,C).
% 14.26/14.16 ** KEPT (pick-wt=18): 302 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B,C).
% 14.26/14.16 ** KEPT (pick-wt=14): 304 [copy,303,flip.2] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),$f27(B,A))=B.
% 14.26/14.16 ** KEPT (pick-wt=12): 305 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|B!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C).
% 14.26/14.16 ** KEPT (pick-wt=21): 306 [] -class_RealVector_Otopological__space(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)| -c_SEQ_Osubse_q(D)|c_Limits_Otendsto(tc_Nat_Onat,A,c_Fun_Ocomp(tc_Nat_Onat,A,tc_Nat_Onat,B,D),C,c_Limits_Ose_quentially).
% 14.26/14.16 ** KEPT (pick-wt=21): 307 [] -c_SEQ_Omonose_q(tc_RealDef_Oreal,A)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,A,B,c_Limits_Ose_quentially)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(A,C),B)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B,hAPP(A,D)).
% 14.26/14.16 ** KEPT (pick-wt=27): 308 [] -c_SEQ_Omonose_q(tc_RealDef_Oreal,A)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,A,B,c_Limits_Ose_quentially)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(A,C),B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,D,E)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(A,E),hAPP(A,D)).
% 14.26/14.16 ** KEPT (pick-wt=27): 309 [] -c_SEQ_Omonose_q(tc_RealDef_Oreal,A)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,A,B,c_Limits_Ose_quentially)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C,D)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(A,C),hAPP(A,D))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B,hAPP(A,E)).
% 14.26/14.16 ** KEPT (pick-wt=33): 310 [] -c_SEQ_Omonose_q(tc_RealDef_Oreal,A)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,A,B,c_Limits_Ose_quentially)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C,D)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(A,C),hAPP(A,D))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,E,F)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(A,F),hAPP(A,E)).
% 14.26/14.16 ** KEPT (pick-wt=9): 311 [] -c_SEQ_OBse_q(tc_RealDef_Oreal,A)| -c_SEQ_Omonose_q(tc_RealDef_Oreal,A)|c_SEQ_Oconvergent(tc_RealDef_Oreal,A).
% 14.26/14.16 ** KEPT (pick-wt=24): 312 [] -class_RealVector_Oreal__normed__vector(A)| -c_SEQ_Oconvergent(A,B)| -c_SEQ_Oconvergent(A,C)|c_SEQ_Oconvergent(A,c_COMBS(tc_Nat_Onat,A,A,c_COMBB(A,tc_fun(A,A),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(A),B),C)).
% 14.26/14.16 ** KEPT (pick-wt=19): 313 [] -class_RealVector_Oreal__normed__vector(A)| -c_SEQ_OBse_q(A,B)|c_SEQ_OBse_q(A,c_COMBB(tc_Nat_Onat,A,tc_Nat_Onat,B,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C))).
% 14.26/14.16 ** KEPT (pick-wt=19): 314 [] -class_RealVector_Oreal__normed__vector(A)| -c_SEQ_OBse_q(A,c_COMBB(tc_Nat_Onat,A,tc_Nat_Onat,B,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C)))|c_SEQ_OBse_q(A,B).
% 14.26/14.16 ** KEPT (pick-wt=20): 315 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B).
% 14.26/14.16 Following clause subsumed by 286 during input processing: 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 14.26/14.16 Following clause subsumed by 285 during input processing: 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B).
% 14.26/14.16 ** KEPT (pick-wt=18): 316 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C),B).
% 14.26/14.16 ** KEPT (pick-wt=18): 317 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C),B).
% 14.26/14.16 ** KEPT (pick-wt=27): 318 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),C),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),A)),B).
% 14.26/14.16 ** KEPT (pick-wt=18): 319 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B),C)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B)).
% 14.26/14.16 ** KEPT (pick-wt=18): 320 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),A),B),C)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B)).
% 14.26/14.16 ** KEPT (pick-wt=18): 321 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C)),A)).
% 14.26/14.16 ** KEPT (pick-wt=17): 322 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A))=B.
% 14.26/14.16 ** KEPT (pick-wt=27): 324 [copy,323,flip.2] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B)),A)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)).
% 14.26/14.16 ** KEPT (pick-wt=22): 325 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A))|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),A),B).
% 14.26/14.17 ** KEPT (pick-wt=22): 326 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),A),B).
% 14.26/14.17 ** KEPT (pick-wt=17): 327 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)),A)=B.
% 14.26/14.17 ** KEPT (pick-wt=20): 328 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)!=C|B=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),A).
% 14.26/14.17 ** KEPT (pick-wt=20): 329 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)=C|B!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),A).
% 14.26/14.17 Following clause subsumed by 324 during input processing: 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B)),A)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)).
% 14.26/14.17 ** KEPT (pick-wt=27): 330 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)),C)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C)),A).
% 14.26/14.17 ** KEPT (pick-wt=27): 331 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B),C)),A)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)),C).
% 14.26/14.17 ** KEPT (pick-wt=18): 332 [] -hBOOL(hAPP(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)|hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 14.26/14.17 ** KEPT (pick-wt=21): 333 [] -hBOOL(hAPP(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C)))|B!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),D)|hBOOL(hAPP(A,D)).
% 14.26/14.17 ** KEPT (pick-wt=20): 334 [] hBOOL(hAPP(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)| -hBOOL(hAPP(A,$f28(C,B,A))).
% 14.26/14.17 ** KEPT (pick-wt=25): 336 [copy,335,flip.3] hBOOL(hAPP(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C)))| -hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),$f28(C,B,A))=B.
% 14.26/14.17 ** KEPT (pick-wt=21): 337 [] hBOOL(hAPP(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C)))| -hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| -hBOOL(hAPP(A,$f28(C,B,A))).
% 14.26/14.17 Following clause subsumed by 332 during input processing: 0 [] -hBOOL(hAPP(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C)))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)|hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 14.26/14.17 Following clause subsumed by 333 during input processing: 0 [] -hBOOL(hAPP(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C)))|B!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),D)|hBOOL(hAPP(A,D)).
% 14.26/14.17 ** KEPT (pick-wt=20): 338 [] hBOOL(hAPP(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)| -hBOOL(hAPP(A,$f29(C,B,A))).
% 14.26/14.17 ** KEPT (pick-wt=25): 340 [copy,339,flip.3] hBOOL(hAPP(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C)))| -hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),$f29(C,B,A))=B.
% 14.26/14.17 ** KEPT (pick-wt=21): 341 [] hBOOL(hAPP(A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),C)))| -hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| -hBOOL(hAPP(A,$f29(C,B,A))).
% 14.26/14.17 ** KEPT (pick-wt=13): 342 [] -class_Rings_Olinordered__idom(A)|B=C|c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,C,B).
% 14.26/14.17 ** KEPT (pick-wt=12): 343 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,A),B)!=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)|A=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 14.26/14.17 ** KEPT (pick-wt=12): 344 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,A),B)!=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)|B=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.17 ** KEPT (pick-wt=16): 345 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,A),B)=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)|A!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|B!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.17 ** KEPT (pick-wt=15): 346 [] -class_SEQ_Ocomplete__space(A)| -c_SEQ_Oconvergent(A,B)| -c_SEQ_Osubse_q(C)|c_SEQ_Oconvergent(A,c_Fun_Ocomp(tc_Nat_Onat,A,tc_Nat_Onat,B,C)).
% 14.26/14.17 ** KEPT (pick-wt=7): 348 [copy,347,flip.2] -class_Rings_Ozero__ne_q__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 14.26/14.17 Following clause subsumed by 348 during input processing: 0 [] -class_Rings_Ozero__ne_q__one(A)|c_Groups_Ozero__class_Ozero(A)!=c_Groups_Oone__class_Oone(A).
% 14.26/14.17 ** KEPT (pick-wt=10): 349 [] -class_Rings_Olinordered__idom(A)|hAPP(c_Groups_Oabs__class_Oabs(A),c_Groups_Oone__class_Oone(A))=c_Groups_Oone__class_Oone(A).
% 14.26/14.17 ** KEPT (pick-wt=20): 350 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,D)|c_Orderings_Oord__class_Oless(A,C,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)).
% 14.26/14.17 ** KEPT (pick-wt=8): 351 [] -class_Rings_Olinordered__semidom(A)|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oone__class_Oone(A)).
% 14.26/14.17 ** KEPT (pick-wt=8): 352 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oone__class_Oone(A),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.17 ** KEPT (pick-wt=8): 353 [] -class_Rings_Olinordered__semidom(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),c_Groups_Oone__class_Oone(A)).
% 14.26/14.17 ** KEPT (pick-wt=8): 354 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.17 ** KEPT (pick-wt=12): 355 [] -class_Rings_Olinordered__semidom(A)|c_Orderings_Oord__class_Oless(A,B,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),c_Groups_Oone__class_Oone(A))).
% 14.26/14.17 ** KEPT (pick-wt=22): 356 [] -class_RealVector_Oreal__normed__vector(A)| -c_Limits_Otendsto(B,tc_RealDef_Oreal,c_COMBB(A,tc_RealDef_Oreal,B,c_RealVector_Onorm__class_Onorm(A),C),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),D)|c_Limits_Otendsto(B,A,C,c_Groups_Ozero__class_Ozero(A),D).
% 14.26/14.17 ** KEPT (pick-wt=22): 357 [] -class_RealVector_Oreal__normed__vector(A)| -c_Limits_Otendsto(B,A,C,c_Groups_Ozero__class_Ozero(A),D)|c_Limits_Otendsto(B,tc_RealDef_Oreal,c_COMBB(A,tc_RealDef_Oreal,B,c_RealVector_Onorm__class_Onorm(A),C),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),D).
% 14.26/14.17 ** KEPT (pick-wt=16): 358 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C)|B=C.
% 14.26/14.17 ** KEPT (pick-wt=16): 359 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C)|B!=C.
% 14.26/14.17 ** KEPT (pick-wt=16): 360 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B)|A=C.
% 14.26/14.17 ** KEPT (pick-wt=16): 361 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),B)|A!=C.
% 14.26/14.17 ** KEPT (pick-wt=19): 362 [] -c_Limits_Otendsto(A,tc_Complex_Ocomplex,B,C,D)|c_Limits_Otendsto(A,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,A,c_Complex_ORe,B),hAPP(c_Complex_ORe,C),D).
% 14.26/14.17 ** KEPT (pick-wt=19): 363 [] -c_Limits_Otendsto(A,tc_Complex_Ocomplex,B,C,D)|c_Limits_Otendsto(A,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,A,c_Complex_OIm,B),hAPP(c_Complex_OIm,C),D).
% 14.26/14.17 ** KEPT (pick-wt=34): 364 [] -c_Limits_Otendsto(A,tc_RealDef_Oreal,B,C,D)| -c_Limits_Otendsto(A,tc_RealDef_Oreal,E,F,D)|c_Limits_Otendsto(A,tc_Complex_Ocomplex,c_COMBS(A,tc_RealDef_Oreal,tc_Complex_Ocomplex,c_COMBB(tc_RealDef_Oreal,tc_fun(tc_RealDef_Oreal,tc_Complex_Ocomplex),A,c_Complex_Ocomplex_OComplex,B),E),hAPP(hAPP(c_Complex_Ocomplex_OComplex,C),F),D).
% 14.26/14.17 ** KEPT (pick-wt=11): 365 [] -c_SEQ_Oconvergent(tc_Complex_Ocomplex,A)|c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,A)).
% 14.26/14.17 ** KEPT (pick-wt=11): 366 [] -c_SEQ_Oconvergent(tc_Complex_Ocomplex,A)|c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,A)).
% 14.26/14.17 ** KEPT (pick-wt=19): 367 [] -class_RealVector_Otopological__space(A)| -c_Orderings_Oord__class_Oless__e_q(tc_Limits_Onet(B),C,D)| -c_Limits_Otendsto(B,A,E,F,D)|c_Limits_Otendsto(B,A,E,F,C).
% 14.26/14.17 Following clause subsumed by 362 during input processing: 0 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_Complex_Ocomplex,A,B,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,A),hAPP(c_Complex_ORe,B),c_Limits_Ose_quentially).
% 14.26/14.17 Following clause subsumed by 363 during input processing: 0 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_Complex_Ocomplex,A,B,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,A),hAPP(c_Complex_OIm,B),c_Limits_Ose_quentially).
% 14.26/14.17 Following clause subsumed by 364 during input processing: 0 [] -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,A,B,c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,C,D,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,tc_Complex_Ocomplex,c_COMBS(tc_Nat_Onat,tc_RealDef_Oreal,tc_Complex_Ocomplex,c_COMBB(tc_RealDef_Oreal,tc_fun(tc_RealDef_Oreal,tc_Complex_Ocomplex),tc_Nat_Onat,c_Complex_Ocomplex_OComplex,A),C),hAPP(hAPP(c_Complex_Ocomplex_OComplex,B),D),c_Limits_Ose_quentially).
% 14.26/14.17 ** KEPT (pick-wt=11): 368 [] -class_RealVector_Otopological__space(A)|c_Limits_Otendsto(B,A,c_COMBK(A,B,C),C,D).
% 14.26/14.17 ** KEPT (pick-wt=38): 369 [] -class_RealVector_Oreal__normed__vector(A)| -c_Limits_Otendsto(B,A,C,D,E)| -c_Limits_Otendsto(B,A,F,G,E)|c_Limits_Otendsto(B,A,c_COMBS(B,A,A,c_COMBB(A,tc_fun(A,A),B,c_Groups_Oplus__class_Oplus(A),C),F),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),G),E).
% 14.26/14.17 ** KEPT (pick-wt=38): 370 [] -class_RealVector_Oreal__normed__vector(A)| -c_Limits_Otendsto(B,A,C,D,E)| -c_Limits_Otendsto(B,A,F,G,E)|c_Limits_Otendsto(B,A,c_COMBS(B,A,A,c_COMBB(A,tc_fun(A,A),B,c_Groups_Ominus__class_Ominus(A),C),F),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),D),G),E).
% 14.26/14.17 ** KEPT (pick-wt=23): 371 [] -class_RealVector_Oreal__normed__vector(A)| -c_Limits_Otendsto(B,A,C,D,E)|c_Limits_Otendsto(B,tc_RealDef_Oreal,c_COMBB(A,tc_RealDef_Oreal,B,c_RealVector_Onorm__class_Onorm(A),C),hAPP(c_RealVector_Onorm__class_Onorm(A),D),E).
% 14.26/14.17 Following clause subsumed by 356 during input processing: 0 [] -class_RealVector_Oreal__normed__vector(A)| -c_Limits_Otendsto(B,tc_RealDef_Oreal,c_COMBB(A,tc_RealDef_Oreal,B,c_RealVector_Onorm__class_Onorm(A),C),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),D)|c_Limits_Otendsto(B,A,C,c_Groups_Ozero__class_Ozero(A),D).
% 14.26/14.17 Following clause subsumed by 357 during input processing: 0 [] -class_RealVector_Oreal__normed__vector(A)|c_Limits_Otendsto(B,tc_RealDef_Oreal,c_COMBB(A,tc_RealDef_Oreal,B,c_RealVector_Onorm__class_Onorm(A),C),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),D)| -c_Limits_Otendsto(B,A,C,c_Groups_Ozero__class_Ozero(A),D).
% 14.26/14.17 ** KEPT (pick-wt=17): 372 [] -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),B),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.17 ** KEPT (pick-wt=17): 373 [] -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),B),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.17 ** KEPT (pick-wt=61): 374 [] hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),A)!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),A),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),A),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),A),c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),A),c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 14.26/14.17 ** KEPT (pick-wt=35): 375 [] -class_RealVector_Oreal__normed__vector(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),D)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,$f30(C,B,A,D),E)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(B,E)),C)),D).
% 14.26/14.17 ** KEPT (pick-wt=16): 376 [] -class_RealVector_Oreal__normed__vector(A)|c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),$f32(C,B,A)).
% 14.26/14.17 ** KEPT (pick-wt=16): 377 [] -class_RealVector_Oreal__normed__vector(A)|c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,D,$f31(C,B,A,D)).
% 14.26/14.17 ** KEPT (pick-wt=29): 378 [] -class_RealVector_Oreal__normed__vector(A)|c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(B,$f31(C,B,A,D))),C)),$f32(C,B,A)).
% 14.26/14.17 ** KEPT (pick-wt=35): 379 [] -class_RealVector_Oreal__normed__vector(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),D)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,$f33(D,C,B,A),E)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(B,E)),C)),D).
% 14.26/14.17 ** KEPT (pick-wt=36): 380 [] -class_RealVector_Oreal__normed__vector(A)| -class_Orderings_Oord(B)|c_Orderings_Oord__class_Oless__e_q(B,C,$f34(D,C,B,A))| -c_Orderings_Oord__class_Oless__e_q(B,C,E)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(D,E)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(D,C)))).
% 14.26/14.17 ** KEPT (pick-wt=49): 381 [] -class_RealVector_Oreal__normed__vector(A)| -class_Orderings_Oord(B)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(C,D)),hAPP(C,$f34(C,D,B,A)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))| -c_Orderings_Oord__class_Oless__e_q(B,D,E)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(C,E)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(C,D)))).
% 14.26/14.17 ** KEPT (pick-wt=10): 382 [] -c_Orderings_Oord__class_Oless(tc_Limits_Onet(A),B,C)|c_Orderings_Oord__class_Oless__e_q(tc_Limits_Onet(A),B,C).
% 14.26/14.17 ** KEPT (pick-wt=10): 383 [] -c_Orderings_Oord__class_Oless(tc_Limits_Onet(A),B,C)| -c_Orderings_Oord__class_Oless__e_q(tc_Limits_Onet(A),C,B).
% 14.26/14.17 ** KEPT (pick-wt=15): 384 [] c_Orderings_Oord__class_Oless(tc_Limits_Onet(A),B,C)| -c_Orderings_Oord__class_Oless__e_q(tc_Limits_Onet(A),B,C)|c_Orderings_Oord__class_Oless__e_q(tc_Limits_Onet(A),C,B).
% 14.26/14.17 ** KEPT (pick-wt=4): 386 [copy,385,flip.1] c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)!=c_Complex_Oii.
% 14.26/14.17 ** KEPT (pick-wt=4): 388 [copy,387,flip.1] c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)!=c_Complex_Oii.
% 14.26/14.17 ** KEPT (pick-wt=11): 389 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,A),B)!=c_Complex_Oii|A=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.17 ** KEPT (pick-wt=11): 390 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,A),B)!=c_Complex_Oii|B=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 14.26/14.17 ** KEPT (pick-wt=15): 391 [] hAPP(hAPP(c_Complex_Ocomplex_OComplex,A),B)=c_Complex_Oii|A!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|B!=c_Groups_Oone__class_Oone(tc_RealDef_Oreal).
% 14.26/14.17 ** KEPT (pick-wt=15): 392 [] -class_Groups_Olinordered__ab__group__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),B)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.17 ** KEPT (pick-wt=15): 393 [] -class_Groups_Olinordered__ab__group__add(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),B)=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.17 ** KEPT (pick-wt=13): 394 [] -class_RealVector_Ometric__space(A)| -c_SEQ_Oconvergent(A,B)|c_Limits_Otendsto(tc_Nat_Onat,A,B,c_SEQ_Olim(A,B),c_Limits_Ose_quentially).
% 14.26/14.17 Following clause subsumed by 267 during input processing: 0 [] -class_RealVector_Ometric__space(A)|c_SEQ_Oconvergent(A,B)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,c_SEQ_Olim(A,B),c_Limits_Ose_quentially).
% 14.26/14.17 ** KEPT (pick-wt=14): 396 [copy,395,flip.2] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),$f35(B,A))=B.
% 14.26/14.17 Following clause subsumed by 305 during input processing: 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|B!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),C).
% 14.26/14.17 ** KEPT (pick-wt=22): 397 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),A),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(A)),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 14.26/14.17 ** KEPT (pick-wt=21): 398 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),A),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),A)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially).
% 14.26/14.17 ** KEPT (pick-wt=18): 399 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal),A),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),A),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially).
% 14.26/14.17 ** KEPT (pick-wt=22): 400 [] -class_RealVector_Oreal__normed__algebra__1(A)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(A),B)),C)).
% 14.26/14.17 ** KEPT (pick-wt=21): 402 [copy,401,flip.2] -class_RealVector_Oreal__normed__div__algebra(A)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(A),B)),C)=hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 14.26/14.17 ** KEPT (pick-wt=34): 403 [] -class_Power_Opower(A)| -class_RealVector_Oreal__normed__algebra(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,A,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,A,c_COMBB(A,tc_fun(tc_Nat_Onat,A),tc_Nat_Onat,c_Power_Opower__class_Opower(A),B),D),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),D),c_Limits_Ose_quentially).
% 14.26/14.17 ** KEPT (pick-wt=10): 404 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(A),c_RComplete_Onatceiling(B)).
% 14.26/14.17 ** KEPT (pick-wt=10): 405 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_RComplete_Onatceiling(A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.17 ** KEPT (pick-wt=11): 406 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(A),c_Groups_Oone__class_Oone(tc_Nat_Onat))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 14.26/14.17 ** KEPT (pick-wt=11): 407 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(A),c_Groups_Oone__class_Oone(tc_Nat_Onat))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)).
% 14.26/14.17 ** KEPT (pick-wt=16): 408 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_SEQ_Omonose_q(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),A)).
% 14.26/14.17 ** KEPT (pick-wt=16): 409 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_SEQ_Oconvergent(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),A)).
% 14.26/14.17 ** KEPT (pick-wt=13): 410 [] -class_RealVector_Ometric__space(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)|c_SEQ_Olim(A,B)=C.
% 14.26/14.17 ** KEPT (pick-wt=16): 411 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_SEQ_OBse_q(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),A)).
% 14.26/14.17 ** KEPT (pick-wt=20): 412 [] -class_RealVector_Oreal__normed__algebra__1(A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),B),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Limits_Otendsto(tc_Nat_Onat,A,hAPP(c_Power_Opower__class_Opower(A),B),c_Groups_Ozero__class_Ozero(A),c_Limits_Ose_quentially).
% 14.26/14.17 ** KEPT (pick-wt=20): 413 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),A),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially).
% 14.26/14.17 ** KEPT (pick-wt=30): 414 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),D)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),D)).
% 14.26/14.17 ** KEPT (pick-wt=22): 415 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 14.26/14.17 ** KEPT (pick-wt=25): 416 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C,D).
% 14.26/14.17 ** KEPT (pick-wt=25): 417 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C,D).
% 14.26/14.17 Following clause subsumed by 416 during input processing: 0 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C,D).
% 14.26/14.17 ** KEPT (pick-wt=30): 418 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless__e_q(A,D,c_Groups_Oone__class_Oone(A))|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B)).
% 14.26/14.17 ** KEPT (pick-wt=21): 419 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),A)),B))|A!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.17 ** KEPT (pick-wt=17): 420 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),A)),B))|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.17 ** KEPT (pick-wt=23): 421 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),C))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C).
% 14.26/14.17 ** KEPT (pick-wt=19): 422 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.17 ** KEPT (pick-wt=15): 423 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 14.26/14.17 ** KEPT (pick-wt=14): 424 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.17 ** KEPT (pick-wt=15): 425 [] -class_Rings_Oring__1__no__zero__divisors(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.17 ** KEPT (pick-wt=12): 426 [] -class_Groups_Omonoid__mult(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_Groups_Oone__class_Oone(A)),B)=c_Groups_Oone__class_Oone(A).
% 14.26/14.17 ** KEPT (pick-wt=21): 428 [copy,427,flip.2] -class_Rings_Olinordered__idom(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(c_Groups_Oabs__class_Oabs(A),B)),C)=hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 14.26/14.17 ** KEPT (pick-wt=11): 429 [] -class_Groups_Omonoid__mult(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Groups_Oone__class_Oone(tc_Nat_Onat))=B.
% 14.26/14.17 ** KEPT (pick-wt=25): 430 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),D)).
% 14.26/14.17 ** KEPT (pick-wt=17): 431 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 14.26/14.17 ** KEPT (pick-wt=17): 432 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 14.26/14.17 ** KEPT (pick-wt=17): 433 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oone__class_Oone(A),B)|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oone__class_Oone(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 14.26/14.17 ** KEPT (pick-wt=21): 434 [] -class_Power_Opower(A)| -class_Rings_Omult__zero(A)| -class_Rings_Ono__zero__divisors(A)| -class_Rings_Ozero__ne_q__one(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.17 ** KEPT (pick-wt=21): 435 [] -class_Power_Opower(A)| -class_Rings_Omult__zero(A)| -class_Rings_Ono__zero__divisors(A)| -class_Rings_Ozero__ne_q__one(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)!=c_Groups_Ozero__class_Ozero(A)|C!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.17 ** KEPT (pick-wt=25): 436 [] -class_Power_Opower(A)| -class_Rings_Omult__zero(A)| -class_Rings_Ono__zero__divisors(A)| -class_Rings_Ozero__ne_q__one(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.17 ** KEPT (pick-wt=23): 437 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)!=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)|C=D.
% 14.26/14.17 ** KEPT (pick-wt=23): 438 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)|C!=D.
% 14.26/14.17 ** KEPT (pick-wt=12): 439 [] -class_Power_Opower(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(A).
% 14.26/14.17 ** KEPT (pick-wt=25): 440 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C))| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,B,D).
% 14.26/14.17 ** KEPT (pick-wt=18): 441 [] -class_Power_Opower(A)| -class_Rings_Osemiring__0(A)|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_Groups_Ozero__class_Ozero(A)),B)=c_Groups_Oone__class_Oone(A).
% 14.26/14.17 ** KEPT (pick-wt=18): 442 [] -class_Power_Opower(A)| -class_Rings_Osemiring__0(A)|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(A),c_Groups_Ozero__class_Ozero(A)),B)=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.17 ** KEPT (pick-wt=15): 443 [] -class_Rings_Olinordered__idom(A)|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(c_Groups_Oabs__class_Oabs(A),B)),C)).
% 14.26/14.17 ** KEPT (pick-wt=25): 444 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),D)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C)).
% 14.26/14.17 ** KEPT (pick-wt=25): 445 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D).
% 14.26/14.17 Following clause subsumed by 445 during input processing: 0 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D).
% 14.26/14.17 Following clause subsumed by 444 during input processing: 0 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,C,D).
% 14.26/14.17 ** KEPT (pick-wt=25): 446 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oone__class_Oone(A),D)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C)).
% 14.26/14.17 ** KEPT (pick-wt=30): 447 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Oone__class_Oone(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C),hAPP(hAPP(c_Power_Opower__class_Opower(A),D),B)).
% 14.26/14.17 ** KEPT (pick-wt=33): 448 [] -class_Rings_Olinordered__semidom(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)!=hAPP(hAPP(c_Power_Opower__class_Opower(A),D),C)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),C)|B=D.
% 14.26/14.17 ** KEPT (pick-wt=12): 449 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(A).
% 14.26/14.17 ** KEPT (pick-wt=22): 450 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),A),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(A)),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 14.26/14.17 ** KEPT (pick-wt=11): 451 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),B),c_Groups_Oone__class_Oone(tc_Nat_Onat))=B.
% 14.26/14.17 ** KEPT (pick-wt=28): 452 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,A),B)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,A)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|c_RComplete_Onatceiling(B)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),A),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 14.26/14.17 ** KEPT (pick-wt=21): 454 [copy,453,flip.1] c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(A))!=A|c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),A),B))=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_RComplete_Onatfloor(A)),B).
% 14.26/14.17 ** KEPT (pick-wt=12): 455 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(A)),A).
% 14.26/14.17 ** KEPT (pick-wt=11): 456 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,A),B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,c_RComplete_Onatfloor(B)).
% 14.26/14.17 ** KEPT (pick-wt=10): 457 [] c_RealDef_Oreal(tc_Nat_Onat,A)!=c_RealDef_Oreal(tc_Nat_Onat,B)|A=B.
% 14.26/14.17 ** KEPT (pick-wt=10): 458 [] c_RealDef_Oreal(tc_Nat_Onat,A)=c_RealDef_Oreal(tc_Nat_Onat,B)|A!=B.
% 14.26/14.17 ** KEPT (pick-wt=14): 459 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.17 ** KEPT (pick-wt=14): 460 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),A),B),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.17 ** KEPT (pick-wt=8): 461 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,B).
% 14.26/14.17 ** KEPT (pick-wt=7): 462 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|A!=B.
% 14.26/14.17 ** KEPT (pick-wt=11): 463 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,B)|A=B.
% 14.26/14.17 ** KEPT (pick-wt=22): 464 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,C,D)|c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),D)).
% 14.26/14.17 ** KEPT (pick-wt=18): 465 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),C)).
% 14.26/14.17 ** KEPT (pick-wt=14): 466 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),c_Groups_Oone__class_Oone(tc_Int_Oint)),B).
% 14.26/14.17 ** KEPT (pick-wt=16): 467 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),A)).
% 14.26/14.17 ** KEPT (pick-wt=21): 468 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),A)),A),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.17 ** KEPT (pick-wt=21): 469 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),A)),A),c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.17 ** KEPT (pick-wt=14): 470 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),c_Groups_Oone__class_Oone(tc_Int_Oint)),B)|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 14.26/14.17 Following clause subsumed by 466 during input processing: 0 [] c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),c_Groups_Oone__class_Oone(tc_Int_Oint)),B)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 14.26/14.17 ** KEPT (pick-wt=12): 471 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),A),c_Groups_Oone__class_Oone(tc_Int_Oint))|A=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 14.26/14.17 ** KEPT (pick-wt=12): 472 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),A),c_Groups_Oone__class_Oone(tc_Int_Oint))|A!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 14.26/14.17 ** KEPT (pick-wt=17): 473 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),c_Groups_Oone__class_Oone(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|A=B.
% 14.26/14.17 ** KEPT (pick-wt=14): 474 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),c_Groups_Oone__class_Oone(tc_Int_Oint)))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 14.26/14.17 ** KEPT (pick-wt=13): 475 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),c_Groups_Oone__class_Oone(tc_Int_Oint)))|A!=B.
% 14.26/14.17 ** KEPT (pick-wt=14): 476 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),c_Groups_Oone__class_Oone(tc_Int_Oint)))|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 14.26/14.17 ** KEPT (pick-wt=14): 477 [] c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),c_Groups_Oone__class_Oone(tc_Int_Oint)))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 14.26/14.17 ** KEPT (pick-wt=14): 478 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),c_Groups_Oone__class_Oone(tc_Int_Oint)))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,B).
% 14.26/14.17 ** KEPT (pick-wt=14): 479 [] c_Orderings_Oord__class_Oless(tc_Int_Oint,A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B),c_Groups_Oone__class_Oone(tc_Int_Oint)))| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,B).
% 14.26/14.17 ** KEPT (pick-wt=10): 480 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),A)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A).
% 14.26/14.17 ** KEPT (pick-wt=10): 481 [] c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),A)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A).
% 14.26/14.17 ** KEPT (pick-wt=15): 482 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),A)),A)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 14.26/14.17 ** KEPT (pick-wt=5): 483 [] c_Groups_Ozero__class_Ozero(tc_Int_Oint)!=c_Groups_Oone__class_Oone(tc_Int_Oint).
% 14.26/14.17 ** KEPT (pick-wt=16): 484 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B,c_RComplete_Onatfloor(A))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,B),A).
% 14.26/14.17 Following clause subsumed by 456 during input processing: 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,B,c_RComplete_Onatfloor(A))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,B),A).
% 14.26/14.17 ** KEPT (pick-wt=23): 485 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,A),B)|c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),B),c_RealDef_Oreal(tc_Nat_Onat,A)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_RComplete_Onatfloor(B)),A).
% 14.26/14.17 ** KEPT (pick-wt=10): 486 [] c_RealDef_Oreal(tc_Nat_Onat,A)!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.17 ** KEPT (pick-wt=10): 487 [] c_RealDef_Oreal(tc_Nat_Onat,A)=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.17 ** KEPT (pick-wt=7): 488 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,A),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.26/14.17 ** KEPT (pick-wt=12): 489 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,A),c_RealDef_Oreal(tc_Nat_Onat,B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 14.26/14.17 ** KEPT (pick-wt=12): 490 [] c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,A),c_RealDef_Oreal(tc_Nat_Onat,B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B).
% 14.26/14.17 ** KEPT (pick-wt=12): 491 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,A),c_RealDef_Oreal(tc_Nat_Onat,B))|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B).
% 14.26/14.17 ** KEPT (pick-wt=12): 492 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,A),c_RealDef_Oreal(tc_Nat_Onat,B))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B).
% 14.26/14.17 ** KEPT (pick-wt=16): 493 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,c_RealDef_Oreal(tc_Nat_Onat,B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(A),B).
% 14.26/14.17 ** KEPT (pick-wt=22): 494 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),A),c_RealDef_Oreal(tc_Nat_Onat,B)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(A)),B).
% 14.26/14.17 ** KEPT (pick-wt=17): 495 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(A)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),B)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,c_RealDef_Oreal(tc_Nat_Onat,B)).
% 14.26/14.17 ** KEPT (pick-wt=22): 496 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,A),B)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,A)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))|c_RComplete_Onatfloor(B)=A.
% 14.26/14.17 ** KEPT (pick-wt=10): 497 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatfloor(A),c_RComplete_Onatfloor(B)).
% 14.26/14.17 ** KEPT (pick-wt=11): 498 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,A),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|A=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.17 ** KEPT (pick-wt=11): 499 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,A),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|A!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.17 ** KEPT (pick-wt=23): 501 [copy,500,flip.2] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,B)),c_RealDef_Oreal(tc_Nat_Onat,A))=c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),B),A)).
% 14.26/14.17 ** KEPT (pick-wt=11): 502 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,c_RealDef_Oreal(tc_Nat_Onat,B))|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(A),B).
% 14.26/14.17 ** KEPT (pick-wt=35): 503 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),E))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),E)).
% 14.26/14.17 ** KEPT (pick-wt=25): 504 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)),C).
% 14.26/14.17 ** KEPT (pick-wt=25): 505 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 14.26/14.17 Following clause subsumed by 505 during input processing: 0 [flip.2] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 14.26/14.17 ** KEPT (pick-wt=25): 506 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)).
% 14.26/14.17 ** KEPT (pick-wt=15): 507 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),B).
% 14.26/14.17 ** KEPT (pick-wt=10): 508 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_RComplete_Onatfloor(A)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.17 ** KEPT (pick-wt=12): 509 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,A))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 14.26/14.17 ** KEPT (pick-wt=12): 510 [] c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,A))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 14.26/14.17 ** KEPT (pick-wt=18): 511 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,A)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,B)).
% 14.26/14.17 ** KEPT (pick-wt=18): 512 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,A)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,B)).
% 14.26/14.17 ** KEPT (pick-wt=18): 513 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,B)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 14.26/14.17 ** KEPT (pick-wt=18): 514 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,B)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))).
% 14.26/14.17 ** KEPT (pick-wt=16): 515 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(A),B)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,c_RealDef_Oreal(tc_Nat_Onat,B)).
% 14.26/14.17 Following clause subsumed by 502 during input processing: 0 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_RComplete_Onatceiling(A),B)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,c_RealDef_Oreal(tc_Nat_Onat,B)).
% 14.26/14.17 ** KEPT (pick-wt=23): 516 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,A),B)|c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal),B),c_RealDef_Oreal(tc_Nat_Onat,A)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_RComplete_Onatceiling(B)),A).
% 14.26/14.17 ** KEPT (pick-wt=11): 517 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(A))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A).
% 14.26/14.17 ** KEPT (pick-wt=11): 518 [] c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(A))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A).
% 14.26/14.17 ** KEPT (pick-wt=22): 519 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),A),c_RealDef_Oreal(tc_Nat_Onat,B)))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(A)),B).
% 14.26/14.17 ** KEPT (pick-wt=11): 520 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),c_Groups_Ozero__class_Ozero(A)),B)=B.
% 14.26/14.17 ** KEPT (pick-wt=11): 521 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),c_Groups_Ozero__class_Ozero(A))=B.
% 14.26/14.17 ** KEPT (pick-wt=14): 523 [copy,522,flip.2] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)!=B|C=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.17 ** KEPT (pick-wt=14): 525 [copy,524,flip.2] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)=B|C!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.17 Following clause subsumed by 422 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))|B=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 14.26/14.17 Following clause subsumed by 424 during input processing: 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))|B!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.17 Following clause subsumed by 423 during input processing: 0 [] c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),A),B))| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A).
% 14.26/14.17 ** KEPT (pick-wt=18): 526 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),$f36(A)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),A).
% 14.26/14.17 ** KEPT (pick-wt=12): 527 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,A,c_RealDef_Oreal(tc_Nat_Onat,$f36(A))).
% 14.26/14.17 ** KEPT (pick-wt=15): 528 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),A),B)).
% 14.26/14.17 ** KEPT (pick-wt=23): 529 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A)|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_RealDef_Oreal,tc_RealDef_Oreal,tc_Nat_Onat,hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),B),hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),A)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially).
% 14.26/14.17 ** KEPT (pick-wt=30): 530 [] -class_Fields_Ofield__inverse__zero(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),D)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),D)).
% 14.26/14.17 ** KEPT (pick-wt=12): 531 [] -class_Rings_Odivision__ring__inverse__zero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.17 ** KEPT (pick-wt=12): 532 [] -class_Rings_Odivision__ring(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),c_Groups_Ozero__class_Ozero(A)),B)=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.17 ** KEPT (pick-wt=12): 533 [] -class_RealVector_Oreal__normed__field(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),c_Groups_Ozero__class_Ozero(A)),B)=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.17 ** KEPT (pick-wt=28): 534 [] -class_RealVector_Oreal__normed__field(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(A),C)),hAPP(c_RealVector_Onorm__class_Onorm(A),B)).
% 14.26/14.17 ** KEPT (pick-wt=11): 535 [] -class_Rings_Odivision__ring(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),c_Groups_Oone__class_Oone(A))=B.
% 14.26/14.17 ** KEPT (pick-wt=30): 536 [] -class_RealVector_Oreal__normed__field(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),D)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)).
% 14.26/14.17 ** KEPT (pick-wt=30): 537 [] -class_Rings_Odivision__ring(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),D)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)).
% 14.26/14.17 ** KEPT (pick-wt=30): 538 [] -class_RealVector_Oreal__normed__field(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)),D)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),D)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)).
% 14.26/14.17 ** KEPT (pick-wt=30): 539 [] -class_Rings_Odivision__ring(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)),D)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),D)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)).
% 14.26/14.17 ** KEPT (pick-wt=26): 540 [] -class_Fields_Ofield__inverse__zero(A)| -class_RealVector_Oreal__normed__field(A)|hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(A),B)),hAPP(c_RealVector_Onorm__class_Onorm(A),C)).
% 14.26/14.18 ** KEPT (pick-wt=11): 541 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,B,A)|A=B.
% 14.26/14.18 ** KEPT (pick-wt=12): 542 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,B)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,B,C)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,C).
% 14.26/14.18 ** KEPT (pick-wt=18): 543 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),C),A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),C),B)).
% 14.26/14.18 ** KEPT (pick-wt=32): 544 [] -class_RealVector_Oreal__normed__field(A)| -c_Limits_Otendsto(B,A,C,D,E)|c_Limits_Otendsto(B,A,c_COMBC(B,A,A,c_COMBB(A,tc_fun(A,A),B,c_Rings_Oinverse__class_Odivide(A),C),F),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),D),F),E).
% 14.26/14.18 ** KEPT (pick-wt=21): 545 [] -class_RealVector_Oreal__normed__field(A)| -c_SEQ_Oconvergent(A,B)|c_SEQ_Oconvergent(A,c_COMBC(tc_Nat_Onat,A,A,c_COMBB(A,tc_fun(A,A),tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(A),B),C)).
% 14.26/14.18 ** KEPT (pick-wt=18): 546 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B)!=c_Groups_Oone__class_Oone(A)|C=B.
% 14.26/14.18 ** KEPT (pick-wt=18): 547 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B)=c_Groups_Oone__class_Oone(A)|C!=B.
% 14.26/14.18 ** KEPT (pick-wt=15): 548 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),B)=c_Groups_Oone__class_Oone(A).
% 14.26/14.18 ** KEPT (pick-wt=15): 549 [] -class_Rings_Odivision__ring__inverse__zero(A)|B!=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),B)=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 ** KEPT (pick-wt=15): 550 [] -class_Rings_Odivision__ring__inverse__zero(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),B)=c_Groups_Oone__class_Oone(A).
% 14.26/14.18 ** KEPT (pick-wt=34): 551 [] -class_Fields_Ofield(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B)),D)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),D)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)).
% 14.26/14.18 ** KEPT (pick-wt=27): 553 [copy,552,flip.2] -class_Fields_Ofield__inverse__zero(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),c_Groups_Oone__class_Oone(A)),B)),C)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),c_Groups_Oone__class_Oone(A)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 14.26/14.18 ** KEPT (pick-wt=20): 554 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),A),B))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B).
% 14.26/14.18 ** KEPT (pick-wt=20): 555 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),A),B))|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.26/14.18 ** KEPT (pick-wt=20): 556 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),A),B))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A).
% 14.26/14.18 ** KEPT (pick-wt=20): 557 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),A),B))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,A,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.26/14.18 ** KEPT (pick-wt=20): 558 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),A),B))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A).
% 14.26/14.18 ** KEPT (pick-wt=20): 559 [] c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),A),B))| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 14.26/14.18 ** KEPT (pick-wt=42): 560 [] -class_RealVector_Oreal__normed__field(A)| -c_Limits_Otendsto(B,A,C,D,E)| -c_Limits_Otendsto(B,A,F,G,E)|G=c_Groups_Ozero__class_Ozero(A)|c_Limits_Otendsto(B,A,c_COMBS(B,A,A,c_COMBB(A,tc_fun(A,A),B,c_Rings_Oinverse__class_Odivide(A),C),F),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),D),G),E).
% 14.26/14.18 Following clause subsumed by 544 during input processing: 0 [] -class_RealVector_Oreal__normed__field(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,A,c_COMBC(tc_Nat_Onat,A,A,c_COMBB(A,tc_fun(A,A),tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(A),B),D),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D),c_Limits_Ose_quentially).
% 14.26/14.18 ** KEPT (pick-wt=20): 561 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),A),B)).
% 14.26/14.18 Following clause subsumed by 560 during input processing: 0 [] -class_RealVector_Oreal__normed__field(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,A,D,E,c_Limits_Ose_quentially)|E=c_Groups_Ozero__class_Ozero(A)|c_Limits_Otendsto(tc_Nat_Onat,A,c_COMBS(tc_Nat_Onat,A,A,c_COMBB(A,tc_fun(A,A),tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(A),B),D),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),E),c_Limits_Ose_quentially).
% 14.26/14.18 ** KEPT (pick-wt=38): 563 [copy,562,flip.4] -class_Fields_Ofield(A)|B=c_Groups_Ozero__class_Ozero(A)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C,D)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C))=hAPP(hAPP(c_Power_Opower__class_Opower(A),B),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),D),C)).
% 14.26/14.18 ** KEPT (pick-wt=26): 564 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),hAPP(c_Groups_Oabs__class_Oabs(A),C)),B)=hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B)).
% 14.26/14.18 ** KEPT (pick-wt=27): 565 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),c_Groups_Oone__class_Oone(A)),c_Groups_Oone__class_Oone(A))),C).
% 14.26/14.18 ** KEPT (pick-wt=27): 566 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,C)|c_Orderings_Oord__class_Oless(A,B,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),c_Groups_Oone__class_Oone(A)),c_Groups_Oone__class_Oone(A)))).
% 14.26/14.18 ** KEPT (pick-wt=22): 567 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)).
% 14.26/14.18 ** KEPT (pick-wt=24): 569 [copy,568,flip.2] -class_Fields_Olinordered__field__inverse__zero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),hAPP(c_Groups_Oabs__class_Oabs(A),B)),hAPP(c_Groups_Oabs__class_Oabs(A),C))=hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)).
% 14.26/14.18 ** KEPT (pick-wt=22): 570 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C))|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=22): 571 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C))|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=22): 572 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C))|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=22): 573 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C))|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=22): 574 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C))| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C).
% 14.26/14.18 ** KEPT (pick-wt=22): 575 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C))| -c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=22): 576 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=22): 577 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C).
% 14.26/14.18 ** KEPT (pick-wt=22): 578 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=22): 579 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C).
% 14.26/14.18 ** KEPT (pick-wt=22): 580 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=22): 581 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C).
% 14.26/14.18 ** KEPT (pick-wt=25): 582 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),D),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)).
% 14.26/14.18 ** KEPT (pick-wt=25): 583 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),D)).
% 14.26/14.18 ** KEPT (pick-wt=22): 584 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=22): 585 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=22): 586 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=22): 587 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=22): 588 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C).
% 14.26/14.18 ** KEPT (pick-wt=22): 589 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=22): 590 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=22): 591 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C).
% 14.26/14.18 ** KEPT (pick-wt=22): 592 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=22): 593 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C).
% 14.26/14.18 ** KEPT (pick-wt=22): 594 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=22): 595 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C).
% 14.26/14.18 ** KEPT (pick-wt=22): 596 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)).
% 14.26/14.18 ** KEPT (pick-wt=22): 597 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=22): 598 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=22): 599 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)).
% 14.26/14.18 ** KEPT (pick-wt=25): 600 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),D),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)).
% 14.26/14.18 ** KEPT (pick-wt=25): 601 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),D)).
% 14.26/14.18 ** KEPT (pick-wt=28): 603 [copy,602,flip.3] -class_Fields_Olinordered__field(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),hAPP(c_Groups_Oabs__class_Oabs(A),C)),hAPP(c_Groups_Oabs__class_Oabs(A),B))=hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B)).
% 14.26/14.18 ** KEPT (pick-wt=22): 604 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)).
% 14.26/14.18 ** KEPT (pick-wt=22): 605 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=34): 606 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless(A,D,E)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),E),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)).
% 14.26/14.18 ** KEPT (pick-wt=34): 607 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless__e_q(A,D,E)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),E),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)).
% 14.26/14.18 ** KEPT (pick-wt=34): 608 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)| -c_Orderings_Oord__class_Oless__e_q(A,D,E)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),E),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)).
% 14.26/14.18 ** KEPT (pick-wt=22): 609 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=29): 610 [] -class_RealVector_Oreal__normed__field(A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),B),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))|c_Series_Osums(A,hAPP(c_Power_Opower__class_Opower(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),c_Groups_Oone__class_Oone(A)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),c_Groups_Oone__class_Oone(A)),B))).
% 14.26/14.18 ** KEPT (pick-wt=14): 612 [copy,611,flip.2] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,B)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),A)=c_Nat__Transfer_Otsub(B,A).
% 14.26/14.18 ** KEPT (pick-wt=25): 613 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B)|c_RComplete_Onatfloor(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),A),c_RealDef_Oreal(tc_Nat_Onat,B)))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_RComplete_Onatfloor(A),B).
% 14.26/14.18 ** KEPT (pick-wt=28): 614 [] -class_RealVector_Oreal__normed__field(A)| -c_Series_Osums(A,B,C)|c_Series_Osums(A,c_COMBC(tc_Nat_Onat,A,A,c_COMBB(A,tc_fun(A,A),tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(A),B),D),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)).
% 14.26/14.18 Following clause subsumed by 614 during input processing: 0 [] -class_RealVector_Oreal__normed__field(A)| -c_Series_Osums(A,B,C)|c_Series_Osums(A,c_COMBC(tc_Nat_Onat,A,A,c_COMBB(A,tc_fun(A,A),tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(A),B),D),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)).
% 14.26/14.18 ** KEPT (pick-wt=15): 615 [] -c_Series_Osums(tc_Complex_Ocomplex,A,B)|c_Series_Osums(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,A),hAPP(c_Complex_OIm,B)).
% 14.26/14.18 ** KEPT (pick-wt=15): 616 [] -c_Series_Osums(tc_Complex_Ocomplex,A,B)|c_Series_Osums(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,A),hAPP(c_Complex_ORe,B)).
% 14.26/14.18 ** KEPT (pick-wt=32): 617 [] -class_RealVector_Oreal__normed__vector(A)| -c_Series_Osums(A,B,C)| -c_Series_Osums(A,D,E)|c_Series_Osums(A,c_COMBS(tc_Nat_Onat,A,A,c_COMBB(A,tc_fun(A,A),tc_Nat_Onat,c_Groups_Ominus__class_Ominus(A),B),D),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),C),E)).
% 14.26/14.18 ** KEPT (pick-wt=32): 618 [] -class_RealVector_Oreal__normed__vector(A)| -c_Series_Osums(A,B,C)| -c_Series_Osums(A,D,E)|c_Series_Osums(A,c_COMBS(tc_Nat_Onat,A,A,c_COMBB(A,tc_fun(A,A),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(A),B),D),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),E)).
% 14.26/14.18 ** KEPT (pick-wt=11): 619 [] -class_RealVector_Oreal__normed__vector(A)|c_Series_Osums(A,c_COMBK(A,tc_Nat_Onat,c_Groups_Ozero__class_Ozero(A)),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.18 ** KEPT (pick-wt=17): 620 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(A,B)).
% 14.26/14.18 Following clause subsumed by 612 during input processing: 0 [flip.2] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,B)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B),A)=c_Nat__Transfer_Otsub(B,A).
% 14.26/14.18 ** KEPT (pick-wt=17): 621 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,B,A),B).
% 14.26/14.18 ** KEPT (pick-wt=19): 622 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),A)| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,C,B),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,C,A)).
% 14.26/14.18 ** KEPT (pick-wt=26): 624 [copy,623,flip.3] -class_Divides_Osemiring__div(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),c_Divides_Odiv__class_Odiv(A,C,B)),c_Groups_Oone__class_Oone(A))=c_Divides_Odiv__class_Odiv(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C),B).
% 14.26/14.18 ** KEPT (pick-wt=18): 625 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.18 ** KEPT (pick-wt=18): 626 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,B,A),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B).
% 14.26/14.18 ** KEPT (pick-wt=18): 627 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,B,A),c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B).
% 14.26/14.18 ** KEPT (pick-wt=18): 628 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,B,A),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,B,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.18 Following clause subsumed by 625 during input processing: 0 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,B,A),c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,B,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.18 ** KEPT (pick-wt=18): 629 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B)).
% 14.26/14.18 ** KEPT (pick-wt=19): 630 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,B)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,C,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,B,C),c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,C)).
% 14.26/14.18 ** KEPT (pick-wt=19): 631 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,B)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),C)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,C),c_Divides_Odiv__class_Odiv(tc_Int_Oint,B,C)).
% 14.26/14.18 ** KEPT (pick-wt=16): 632 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,B,A)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 14.26/14.18 ** KEPT (pick-wt=24): 633 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,B,C)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B),c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,C)).
% 14.26/14.18 ** KEPT (pick-wt=18): 634 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.18 ** KEPT (pick-wt=18): 635 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,B,A))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,B,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.18 ** KEPT (pick-wt=18): 636 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,B,A))| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,B,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.18 ** KEPT (pick-wt=16): 637 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 14.26/14.18 ** KEPT (pick-wt=18): 638 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,B,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.18 ** KEPT (pick-wt=24): 639 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,B,C)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,C),c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B)).
% 14.26/14.18 ** KEPT (pick-wt=17): 640 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,B,A).
% 14.26/14.18 ** KEPT (pick-wt=18): 641 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B).
% 14.26/14.18 ** KEPT (pick-wt=22): 642 [] -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B))| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,B,A)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B).
% 14.26/14.18 ** KEPT (pick-wt=17): 643 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,B,A))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,B).
% 14.26/14.18 ** KEPT (pick-wt=17): 644 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,B,A))| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,B).
% 14.26/14.18 ** KEPT (pick-wt=18): 645 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,B,A))|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B).
% 14.26/14.18 ** KEPT (pick-wt=18): 646 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,B,A))| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B).
% 14.26/14.18 ** KEPT (pick-wt=21): 647 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|B=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.18 ** KEPT (pick-wt=20): 648 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|B=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)|c_Orderings_Oord__class_Oless(tc_Int_Oint,B,A).
% 14.26/14.18 ** KEPT (pick-wt=20): 649 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|B=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 14.26/14.18 ** KEPT (pick-wt=19): 650 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|B=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B)|c_Orderings_Oord__class_Oless(tc_Int_Oint,B,A).
% 14.26/14.18 ** KEPT (pick-wt=11): 651 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|B!=c_Groups_Ozero__class_Ozero(tc_Int_Oint).
% 14.26/14.18 Following clause subsumed by 637 during input processing: 0 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,A,B).
% 14.26/14.18 Following clause subsumed by 632 during input processing: 0 [] c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)| -c_Orderings_Oord__class_Oless__e_q(tc_Int_Oint,A,c_Groups_Ozero__class_Ozero(tc_Int_Oint))| -c_Orderings_Oord__class_Oless(tc_Int_Oint,B,A).
% 14.26/14.18 ** KEPT (pick-wt=17): 652 [] -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),A)| -c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),B)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,A,B),A).
% 14.26/14.18 ** KEPT (pick-wt=10): 653 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(A,c_Groups_Ozero__class_Ozero(A),B)=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 ** KEPT (pick-wt=10): 654 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(A,B,c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 ** KEPT (pick-wt=9): 655 [] -class_Divides_Osemiring__div(A)|c_Divides_Odiv__class_Odiv(A,B,c_Groups_Oone__class_Oone(A))=B.
% 14.26/14.18 ** KEPT (pick-wt=14): 656 [] -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,A,B)|c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,A,C),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,B,C)).
% 14.26/14.18 ** KEPT (pick-wt=13): 657 [] -class_Divides_Osemiring__div(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Divides_Odiv__class_Odiv(A,B,B)=c_Groups_Oone__class_Oone(A).
% 14.26/14.18 ** KEPT (pick-wt=11): 658 [] -c_Orderings_Oord__class_Oless(tc_Nat_Onat,A,B)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,A,B)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat).
% 14.26/14.18 ** KEPT (pick-wt=26): 660 [copy,659,flip.3] -class_Divides_Osemiring__div(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),c_Divides_Odiv__class_Odiv(A,C,B)),c_Groups_Oone__class_Oone(A))=c_Divides_Odiv__class_Odiv(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),B),B).
% 14.26/14.18 ** KEPT (pick-wt=21): 661 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),A)|c_Limits_Otendsto(tc_Nat_Onat,tc_RealDef_Oreal,c_COMBB(tc_RealDef_Oreal,tc_RealDef_Oreal,tc_Nat_Onat,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),A)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Limits_Ose_quentially).
% 14.26/14.18 ** KEPT (pick-wt=33): 662 [] -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,B)),A)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),A),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),B)).
% 14.26/14.18 ** KEPT (pick-wt=15): 663 [] hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| -hBOOL(hAPP(A,B))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,$f37(B,A),B).
% 14.26/14.18 ** KEPT (pick-wt=19): 664 [] hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| -hBOOL(hAPP(A,B))| -c_Orderings_Oord__class_Oless__e_q(tc_Nat_Onat,C,$f37(B,A))| -hBOOL(hAPP(A,C)).
% 14.26/14.18 ** KEPT (pick-wt=21): 665 [] hBOOL(hAPP(A,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))| -hBOOL(hAPP(A,B))|hBOOL(hAPP(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),$f37(B,A)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 14.26/14.18 ** KEPT (pick-wt=23): 666 [] -class_RealVector_Oreal__normed__algebra(A)| -c_Series_Osums(A,B,C)|c_Series_Osums(A,c_COMBB(A,A,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(A),D),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)).
% 14.26/14.18 ** KEPT (pick-wt=28): 667 [] -class_RealVector_Oreal__normed__algebra(A)| -c_Series_Osums(A,B,C)|c_Series_Osums(A,c_COMBC(tc_Nat_Onat,A,A,c_COMBB(A,tc_fun(A,A),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 14.26/14.18 Following clause subsumed by 666 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)| -c_Series_Osums(A,B,C)|c_Series_Osums(A,c_COMBB(A,A,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(A),D),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)).
% 14.26/14.18 Following clause subsumed by 667 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)| -c_Series_Osums(A,B,C)|c_Series_Osums(A,c_COMBC(tc_Nat_Onat,A,A,c_COMBB(A,tc_fun(A,A),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 14.26/14.18 ** KEPT (pick-wt=27): 668 [] -class_RealVector_Oreal__normed__div__algebra(A)| -c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,B,hAPP(c_RealVector_Onorm__class_Onorm(A),C))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),C)),hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),B)).
% 14.26/14.18 ** KEPT (pick-wt=45): 670 [copy,669,flip.4] -class_Fields_Ofield(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),hAPP(c_Rings_Oinverse__class_Oinverse(A),B))),hAPP(c_Rings_Oinverse__class_Oinverse(A),C))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B)),hAPP(c_Rings_Oinverse__class_Oinverse(A),C)).
% 14.26/14.18 ** KEPT (pick-wt=18): 671 [] -class_Fields_Ofield(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B)),B)=c_Groups_Oone__class_Oone(A).
% 14.26/14.18 ** KEPT (pick-wt=13): 672 [] -class_Fields_Ofield__inverse__zero(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),B)!=c_Groups_Oone__class_Oone(A)|B=c_Groups_Oone__class_Oone(A).
% 14.26/14.18 ** KEPT (pick-wt=13): 673 [] -class_Fields_Ofield__inverse__zero(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),B)=c_Groups_Oone__class_Oone(A)|B!=c_Groups_Oone__class_Oone(A).
% 14.26/14.18 ** KEPT (pick-wt=18): 674 [] -class_Fields_Ofield__inverse__zero(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B).
% 14.26/14.18 ** KEPT (pick-wt=18): 675 [] -class_Fields_Ofield(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Rings_Oinverse__class_Oinverse(A),C)).
% 14.26/14.18 ** KEPT (pick-wt=35): 676 [] -class_Fields_Ofield__inverse__zero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),D),E))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E)).
% 14.26/14.18 ** KEPT (pick-wt=25): 678 [copy,677,flip.2] -class_Rings_Odivision__ring(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)).
% 14.26/14.18 ** KEPT (pick-wt=18): 679 [] -class_Rings_Odivision__ring(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Rings_Oinverse__class_Oinverse(A),C)).
% 14.26/14.18 ** KEPT (pick-wt=24): 681 [copy,680,flip.2] -class_Fields_Ofield__inverse__zero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B)),hAPP(c_Rings_Oinverse__class_Oinverse(A),C))=hAPP(c_Rings_Oinverse__class_Oinverse(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 14.26/14.18 ** KEPT (pick-wt=17): 683 [copy,682,flip.2] -class_Fields_Olinordered__field__inverse__zero(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),hAPP(c_Groups_Oabs__class_Oabs(A),B))=hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B)).
% 14.26/14.18 ** KEPT (pick-wt=10): 684 [] -class_Fields_Ofield__inverse__zero(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 ** KEPT (pick-wt=24): 685 [] -class_RealVector_Oreal__normed__algebra(A)| -c_SEQ_Oconvergent(A,B)| -c_SEQ_Oconvergent(A,C)|c_SEQ_Oconvergent(A,c_COMBS(tc_Nat_Onat,A,A,c_COMBB(A,tc_fun(A,A),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(A),B),C)).
% 14.26/14.18 ** KEPT (pick-wt=21): 686 [] -class_RealVector_Oreal__normed__algebra(A)| -c_SEQ_Oconvergent(A,B)|c_SEQ_Oconvergent(A,c_COMBC(tc_Nat_Onat,A,A,c_COMBB(A,tc_fun(A,A),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(A),B),C)).
% 14.26/14.18 ** KEPT (pick-wt=16): 687 [] -class_RealVector_Oreal__normed__algebra(A)| -c_SEQ_Oconvergent(A,B)|c_SEQ_Oconvergent(A,c_COMBB(A,A,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(A),C),B)).
% 14.26/14.18 ** KEPT (pick-wt=30): 688 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),D)).
% 14.26/14.18 ** KEPT (pick-wt=30): 689 [] -class_Groups_Ocomm__monoid__mult(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),D)),hAPP(hAPP(c_Power_Opower__class_Opower(A),C),D)).
% 14.26/14.18 ** KEPT (pick-wt=25): 690 [] -class_Groups_Omonoid__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 14.26/14.18 ** KEPT (pick-wt=21): 692 [copy,691,flip.2] -class_Rings_Odivision__ring__inverse__zero(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B)),C)=hAPP(c_Rings_Oinverse__class_Oinverse(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 14.26/14.18 ** KEPT (pick-wt=20): 693 [] A=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),C)|B=C.
% 14.26/14.18 ** KEPT (pick-wt=20): 694 [] A=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),C)|B!=C.
% 14.26/14.18 ** KEPT (pick-wt=20): 695 [] A=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),A)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),C),A)|B=C.
% 14.26/14.18 ** KEPT (pick-wt=20): 696 [] A=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),A)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),C),A)|B!=C.
% 14.26/14.18 ** KEPT (pick-wt=24): 698 [copy,697,flip.2] -class_Rings_Olinordered__idom(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Groups_Oabs__class_Oabs(A),B)),hAPP(c_Groups_Oabs__class_Oabs(A),C))=hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 14.26/14.18 ** KEPT (pick-wt=21): 699 [] -class_Rings_Olinordered__idom(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Groups_Oabs__class_Oabs(A),B)),hAPP(c_Groups_Oabs__class_Oabs(A),B))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B).
% 14.26/14.18 ** KEPT (pick-wt=32): 700 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),C)),hAPP(c_Rings_Oinverse__class_Oinverse(A),B)).
% 14.26/14.18 ** KEPT (pick-wt=12): 701 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 ** KEPT (pick-wt=12): 702 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ozero__class_Ozero(A)),B)=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 ** KEPT (pick-wt=35): 703 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E)).
% 14.26/14.18 ** KEPT (pick-wt=35): 704 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),E)).
% 14.26/14.18 ** KEPT (pick-wt=35): 705 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))).
% 14.26/14.18 ** KEPT (pick-wt=25): 706 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),C).
% 14.26/14.18 ** KEPT (pick-wt=25): 707 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 14.26/14.18 Following clause subsumed by 707 during input processing: 0 [flip.2] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 14.26/14.18 ** KEPT (pick-wt=25): 708 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)).
% 14.26/14.18 ** KEPT (pick-wt=15): 709 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B).
% 14.26/14.18 ** KEPT (pick-wt=12): 710 [] -class_Rings_Omult__zero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ozero__class_Ozero(A)),B)=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 ** KEPT (pick-wt=12): 711 [] -class_Rings_Omult__zero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 ** KEPT (pick-wt=19): 712 [] -class_Rings_Oring__no__zero__divisors(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 ** KEPT (pick-wt=15): 713 [] -class_Rings_Oring__no__zero__divisors(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 ** KEPT (pick-wt=15): 714 [] -class_Rings_Oring__no__zero__divisors(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)=c_Groups_Ozero__class_Ozero(A)|C!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 ** KEPT (pick-wt=19): 715 [] -class_Rings_Ono__zero__divisors(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 Following clause subsumed by 715 during input processing: 0 [] -class_Rings_Ono__zero__divisors(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 ** KEPT (pick-wt=12): 716 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 Following clause subsumed by 716 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 ** KEPT (pick-wt=12): 717 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ozero__class_Ozero(A)),B)=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 Following clause subsumed by 717 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Ozero__class_Ozero(A)),B)=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 ** KEPT (pick-wt=22): 718 [] -class_Rings_Odivision__ring(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),B)!=hAPP(c_Rings_Oinverse__class_Oinverse(A),C)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|B=C.
% 14.26/14.18 ** KEPT (pick-wt=13): 719 [] -class_Rings_Odivision__ring(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),B)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 ** KEPT (pick-wt=15): 720 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B))=B.
% 14.26/14.18 Following clause subsumed by 719 during input processing: 0 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),B)!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 ** KEPT (pick-wt=13): 721 [] -class_Rings_Odivision__ring__inverse__zero(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),B)!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 ** KEPT (pick-wt=13): 722 [] -class_Rings_Odivision__ring__inverse__zero(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),B)=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 ** KEPT (pick-wt=10): 723 [] -class_Rings_Odivision__ring__inverse__zero(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),c_Groups_Ozero__class_Ozero(A))=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.18 ** KEPT (pick-wt=21): 724 [] -class_RealVector_Oreal__normed__div__algebra(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B))=hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(A),B)).
% 14.26/14.18 ** KEPT (pick-wt=33): 725 [] -class_RealVector_Oreal__normed__algebra(A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),B),C)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),D),E)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),C),E)).
% 14.26/14.18 ** KEPT (pick-wt=24): 727 [copy,726,flip.2] -class_RealVector_Oreal__normed__div__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(A),B)),hAPP(c_RealVector_Onorm__class_Onorm(A),C))=hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 14.26/14.18 ** KEPT (pick-wt=19): 728 [] -class_RealVector_Oreal__normed__div__algebra(A)| -class_Rings_Odivision__ring__inverse__zero(A)|hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B))=hAPP(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(A),B)).
% 14.26/14.18 ** KEPT (pick-wt=25): 729 [] -class_Groups_Oab__semigroup__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 14.26/14.18 ** KEPT (pick-wt=14): 730 [] -class_Rings_Odivision__ring__inverse__zero(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),B)!=hAPP(c_Rings_Oinverse__class_Oinverse(A),C)|B=C.
% 14.26/14.18 Following clause subsumed by 730 during input processing: 0 [] -class_Rings_Odivision__ring__inverse__zero(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),B)!=hAPP(c_Rings_Oinverse__class_Oinverse(A),C)|B=C.
% 14.26/14.18 ** KEPT (pick-wt=14): 731 [] -class_Rings_Odivision__ring__inverse__zero(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),B)=hAPP(c_Rings_Oinverse__class_Oinverse(A),C)|B!=C.
% 14.26/14.18 ** KEPT (pick-wt=11): 732 [] -class_Rings_Odivision__ring__inverse__zero(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B))=B.
% 14.26/14.18 ** KEPT (pick-wt=27): 733 [] -class_RealVector_Oreal__normed__algebra(A)| -c_Limits_Otendsto(B,A,C,D,E)|c_Limits_Otendsto(B,A,c_COMBB(A,A,B,hAPP(c_Groups_Otimes__class_Otimes(A),F),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),F),D),E).
% 14.26/14.18 ** KEPT (pick-wt=32): 734 [] -class_RealVector_Oreal__normed__algebra(A)| -c_Limits_Otendsto(B,A,C,D,E)|c_Limits_Otendsto(B,A,c_COMBC(B,A,A,c_COMBB(A,tc_fun(A,A),B,c_Groups_Otimes__class_Otimes(A),C),F),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),F),E).
% 14.26/14.18 ** KEPT (pick-wt=38): 735 [] -class_RealVector_Oreal__normed__algebra(A)| -c_Limits_Otendsto(B,A,C,D,E)| -c_Limits_Otendsto(B,A,F,G,E)|c_Limits_Otendsto(B,A,c_COMBS(B,A,A,c_COMBB(A,tc_fun(A,A),B,c_Groups_Otimes__class_Otimes(A),C),F),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),G),E).
% 14.26/14.18 ** KEPT (pick-wt=25): 736 [] -class_RealVector_Oreal__normed__algebra(A)|c_Orderings_Oord__class_Oless__e_q(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(A),B)),hAPP(c_RealVector_Onorm__class_Onorm(A),C))).
% 14.26/14.18 ** KEPT (pick-wt=30): 737 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)),D)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 14.26/14.18 Following clause subsumed by 737 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)),D)=hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 14.26/14.18 ** KEPT (pick-wt=30): 739 [copy,738,flip.2] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),C),D)).
% 14.26/14.18 Following clause subsumed by 739 during input processing: 0 [flip.2] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),C),D)).
% 14.26/14.18 ** KEPT (pick-wt=40): 741 [copy,740,flip.2] -class_Rings_Osemiring(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)),E)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)),E)).
% 14.26/14.18 ** KEPT (pick-wt=30): 742 [] -class_Rings_Ocomm__semiring(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 14.26/14.18 ** KEPT (pick-wt=30): 743 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 14.26/14.18 Following clause subsumed by 743 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 14.26/14.18 ** KEPT (pick-wt=30): 745 [copy,744,flip.2] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 14.26/14.18 Following clause subsumed by 745 during input processing: 0 [flip.2] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 14.26/14.18 ** KEPT (pick-wt=17): 746 [] -class_Rings_Odivision__ring(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)!=c_Groups_Oone__class_Oone(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),B)=C.
% 14.26/14.18 ** KEPT (pick-wt=10): 747 [] -class_Rings_Odivision__ring(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),c_Groups_Oone__class_Oone(A))=c_Groups_Oone__class_Oone(A).
% 14.26/14.18 ** KEPT (pick-wt=11): 748 [] -class_Groups_Omonoid__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oone__class_Oone(A)),B)=B.
% 14.26/14.18 ** KEPT (pick-wt=11): 749 [] -class_Groups_Ocomm__monoid__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oone__class_Oone(A)),B)=B.
% 14.26/14.18 ** KEPT (pick-wt=11): 750 [] -class_Groups_Omonoid__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Oone__class_Oone(A))=B.
% 14.26/14.18 ** KEPT (pick-wt=11): 751 [] -class_Groups_Ocomm__monoid__mult(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Oone__class_Oone(A))=B.
% 14.26/14.18 ** KEPT (pick-wt=18): 752 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(c_Rings_Oinverse__class_Oinverse(A),B))=c_Groups_Oone__class_Oone(A).
% 14.26/14.18 ** KEPT (pick-wt=18): 753 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B)),B)=c_Groups_Oone__class_Oone(A).
% 14.26/14.19 ** KEPT (pick-wt=11): 754 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),c_Groups_Oone__class_Oone(A)),B)=B.
% 14.26/14.19 ** KEPT (pick-wt=11): 755 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),c_Groups_Oone__class_Oone(A))=B.
% 14.26/14.19 ** KEPT (pick-wt=41): 756 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|B=D|C=E.
% 14.26/14.19 ** KEPT (pick-wt=38): 757 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|B!=D.
% 14.26/14.19 ** KEPT (pick-wt=38): 758 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),E))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|C!=E.
% 14.26/14.19 ** KEPT (pick-wt=30): 759 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),D)),C).
% 14.26/14.19 ** KEPT (pick-wt=30): 760 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 14.26/14.19 Following clause subsumed by 756 during input processing: 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B=C|D=E|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 14.26/14.19 Following clause subsumed by 757 during input processing: 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B!=C|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 14.26/14.19 Following clause subsumed by 758 during input processing: 0 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B!=C|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),B)).
% 14.26/14.19 ** KEPT (pick-wt=30): 762 [copy,761,flip.2] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),D)).
% 14.26/14.19 ** KEPT (pick-wt=45): 764 [copy,763,flip.4] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),C))),hAPP(c_Rings_Oinverse__class_Oinverse(A),C))=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B)),hAPP(c_Rings_Oinverse__class_Oinverse(A),C)).
% 14.26/14.19 ** KEPT (pick-wt=45): 766 [copy,765,flip.4] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),C),B))),hAPP(c_Rings_Oinverse__class_Oinverse(A),C))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B)),hAPP(c_Rings_Oinverse__class_Oinverse(A),C)).
% 14.26/14.19 ** KEPT (pick-wt=15): 767 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B))|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B).
% 14.26/14.19 ** KEPT (pick-wt=15): 768 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B))| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B).
% 14.26/14.19 ** KEPT (pick-wt=15): 769 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(c_Rings_Oinverse__class_Oinverse(A),B),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=15): 770 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(c_Rings_Oinverse__class_Oinverse(A),B),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=15): 771 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 14.26/14.19 ** KEPT (pick-wt=15): 772 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 14.26/14.19 ** KEPT (pick-wt=15): 773 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,hAPP(c_Rings_Oinverse__class_Oinverse(A),B),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=15): 774 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,hAPP(c_Rings_Oinverse__class_Oinverse(A),B),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=15): 775 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B)).
% 14.26/14.19 ** KEPT (pick-wt=19): 776 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B))|B=c_Groups_Ozero__class_Ozero(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 14.26/14.19 ** KEPT (pick-wt=15): 777 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(c_Rings_Oinverse__class_Oinverse(A),B),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=21): 778 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,hAPP(c_Rings_Oinverse__class_Oinverse(A),C),hAPP(c_Rings_Oinverse__class_Oinverse(A),B)).
% 14.26/14.19 ** KEPT (pick-wt=21): 779 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(c_Rings_Oinverse__class_Oinverse(A),C),hAPP(c_Rings_Oinverse__class_Oinverse(A),B)).
% 14.26/14.19 ** KEPT (pick-wt=19): 780 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,hAPP(c_Rings_Oinverse__class_Oinverse(A),B),c_Groups_Ozero__class_Ozero(A))|B=c_Groups_Ozero__class_Ozero(A)|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=21): 781 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,hAPP(c_Rings_Oinverse__class_Oinverse(A),B),hAPP(c_Rings_Oinverse__class_Oinverse(A),C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,C,B).
% 14.26/14.19 ** KEPT (pick-wt=21): 782 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,hAPP(c_Rings_Oinverse__class_Oinverse(A),B),hAPP(c_Rings_Oinverse__class_Oinverse(A),C))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,C,B).
% 14.26/14.19 ** KEPT (pick-wt=25): 784 [copy,783,flip.3] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Power_Opower__class_Opower(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B)),C)=hAPP(c_Rings_Oinverse__class_Oinverse(A),hAPP(hAPP(c_Power_Opower__class_Opower(A),B),C)).
% 14.26/14.19 ** KEPT (pick-wt=21): 786 [copy,785,flip.3] -class_Fields_Olinordered__field(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),hAPP(c_Groups_Oabs__class_Oabs(A),B))=hAPP(c_Groups_Oabs__class_Oabs(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B)).
% 14.26/14.19 ** KEPT (pick-wt=14): 787 [] -class_Fields_Ofield(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),B)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),c_Groups_Oone__class_Oone(A)),B).
% 14.26/14.19 ** KEPT (pick-wt=14): 788 [] -class_Rings_Odivision__ring(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),B)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),c_Groups_Oone__class_Oone(A)),B).
% 14.26/14.19 ** KEPT (pick-wt=22): 789 [] -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=22): 790 [] -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=22): 791 [] -class_Rings_Oordered__ring(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 14.26/14.19 ** KEPT (pick-wt=22): 792 [] -class_Rings_Oordered__ring(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 14.26/14.19 ** KEPT (pick-wt=34): 793 [] -class_Rings_Oordered__semiring(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,D,E)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E)).
% 14.26/14.19 ** KEPT (pick-wt=34): 794 [] -class_Rings_Oordered__semiring(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,D,E)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E)).
% 14.26/14.19 ** KEPT (pick-wt=25): 795 [] -class_Rings_Oordered__ring(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)).
% 14.26/14.19 ** KEPT (pick-wt=25): 796 [] -class_Rings_Oordered__ring(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)).
% 14.26/14.19 ** KEPT (pick-wt=25): 797 [] -class_Rings_Oordered__comm__semiring(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)).
% 14.26/14.19 ** KEPT (pick-wt=25): 798 [] -class_Rings_Oordered__semiring(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)).
% 14.26/14.19 ** KEPT (pick-wt=25): 799 [] -class_Rings_Oordered__semiring(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 14.26/14.19 Following clause subsumed by 792 during input processing: 0 [] -class_Rings_Oordered__ring(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 14.26/14.19 Following clause subsumed by 790 during input processing: 0 [] -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 Following clause subsumed by 790 during input processing: 0 [] -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 Following clause subsumed by 789 during input processing: 0 [] -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=22): 800 [] -class_Rings_Oordered__cancel__semiring(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 14.26/14.19 ** KEPT (pick-wt=22): 801 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=22): 802 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C).
% 14.26/14.19 ** KEPT (pick-wt=22): 803 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=22): 804 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C).
% 14.26/14.19 ** KEPT (pick-wt=22): 805 [] -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=22): 806 [] -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C).
% 14.26/14.19 ** KEPT (pick-wt=22): 807 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=22): 808 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=22): 809 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=22): 810 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=22): 811 [] -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C).
% 14.26/14.19 ** KEPT (pick-wt=22): 812 [] -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))| -c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=12): 813 [] -class_Rings_Olinordered__ring(A)|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B)).
% 14.26/14.19 ** KEPT (pick-wt=25): 814 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)).
% 14.26/14.19 ** KEPT (pick-wt=25): 815 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)).
% 14.26/14.19 ** KEPT (pick-wt=25): 816 [] -class_Rings_Olinordered__comm__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)).
% 14.26/14.19 ** KEPT (pick-wt=25): 817 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)).
% 14.26/14.19 ** KEPT (pick-wt=25): 818 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D)).
% 14.26/14.19 ** KEPT (pick-wt=22): 819 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 14.26/14.19 ** KEPT (pick-wt=22): 820 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=25): 821 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))|c_Orderings_Oord__class_Oless(A,D,C).
% 14.26/14.19 Following clause subsumed by 814 during input processing: 0 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless(A,D,C).
% 14.26/14.19 ** KEPT (pick-wt=22): 822 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 14.26/14.19 ** KEPT (pick-wt=22): 823 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C).
% 14.26/14.19 Following clause subsumed by 820 during input processing: 0 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=22): 824 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=22): 825 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 14.26/14.19 ** KEPT (pick-wt=25): 826 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))|c_Orderings_Oord__class_Oless(A,C,D).
% 14.26/14.19 ** KEPT (pick-wt=25): 827 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless(A,C,D).
% 14.26/14.19 ** KEPT (pick-wt=26): 828 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=25): 829 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,D,C).
% 14.26/14.19 ** KEPT (pick-wt=25): 830 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))|c_Orderings_Oord__class_Oless(A,C,D)|c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=24): 831 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))|c_Orderings_Oord__class_Oless(A,C,D)|c_Orderings_Oord__class_Oless(A,D,C).
% 14.26/14.19 Following clause subsumed by 827 during input processing: 0 [] -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,C,D).
% 14.26/14.19 Following clause subsumed by 814 during input processing: 0 [] -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,D,C).
% 14.26/14.19 ** KEPT (pick-wt=26): 832 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=25): 833 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,D,B).
% 14.26/14.19 ** KEPT (pick-wt=25): 834 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|c_Orderings_Oord__class_Oless(A,B,D)|c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=24): 835 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))|c_Orderings_Oord__class_Oless(A,B,D)|c_Orderings_Oord__class_Oless(A,D,B).
% 14.26/14.19 ** KEPT (pick-wt=25): 836 [] -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)| -c_Orderings_Oord__class_Oless(A,B,D).
% 14.26/14.19 Following clause subsumed by 815 during input processing: 0 [] -class_Rings_Olinordered__ring__strict(A)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless(A,D,B).
% 14.26/14.19 ** KEPT (pick-wt=12): 837 [] -class_Rings_Olinordered__ring(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),B),c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=35): 838 [] -class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(A)|B=c_Groups_Ozero__class_Ozero(A)|C!=D|E=F|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),E))!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),F)).
% 14.26/14.19 ** KEPT (pick-wt=22): 839 [] -class_Rings_Olinordered__semidom(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),C)|c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)).
% 14.26/14.19 ** KEPT (pick-wt=43): 840 [] -class_Rings_Oring(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C)),F)|D=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),E),B)),C)),F).
% 14.26/14.19 ** KEPT (pick-wt=43): 841 [] -class_Rings_Oring(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C)),F)|D!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),E),B)),C)),F).
% 14.26/14.19 ** KEPT (pick-wt=43): 842 [] -class_Rings_Oring(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)!=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C)),F)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),E)),C)),D)=F.
% 14.26/14.19 ** KEPT (pick-wt=43): 843 [] -class_Rings_Oring(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D)=hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C)),F)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),E)),C)),D)!=F.
% 14.26/14.19 ** KEPT (pick-wt=45): 845 [copy,844,flip.2] -class_Rings_Oring(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),C),D))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),E)),D))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),D)).
% 14.26/14.19 ** KEPT (pick-wt=65): 847 [copy,846,flip.2] -class_RealVector_Oreal__normed__algebra(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),D),E))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),C)),E))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),D),E)))=hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E)).
% 14.26/14.19 ** KEPT (pick-wt=22): 848 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),B)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),c_Groups_Oone__class_Oone(A)),c_Groups_Oone__class_Oone(A))),B).
% 14.26/14.19 ** KEPT (pick-wt=26): 849 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),C),c_Groups_Oone__class_Oone(A))),B).
% 14.26/14.19 ** KEPT (pick-wt=26): 850 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),C)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),B),c_Groups_Oone__class_Oone(A))),C).
% 14.26/14.19 ** KEPT (pick-wt=22): 851 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)!=D|C=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),D),B).
% 14.26/14.19 ** KEPT (pick-wt=22): 852 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|C!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B)=D.
% 14.26/14.19 ** KEPT (pick-wt=22): 853 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B)!=D|C=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B).
% 14.26/14.19 Following clause subsumed by 852 during input processing: 0 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),B)=D|C!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B).
% 14.26/14.19 ** KEPT (pick-wt=22): 854 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|C!=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),D),B)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)=D.
% 14.26/14.19 Following clause subsumed by 851 during input processing: 0 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|C=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),D),B)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)!=D.
% 14.26/14.19 ** KEPT (pick-wt=36): 855 [] -class_Fields_Ofield(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),D),B)!=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),E),C)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),B).
% 14.26/14.19 ** KEPT (pick-wt=36): 856 [] -class_Fields_Ofield(A)|B=c_Groups_Ozero__class_Ozero(A)|C=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),D),B)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),E),C)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),B).
% 14.26/14.19 ** KEPT (pick-wt=29): 857 [] -class_Fields_Ofield__inverse__zero(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D).
% 14.26/14.19 ** KEPT (pick-wt=29): 858 [] -class_Fields_Ofield__inverse__zero(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B))=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D).
% 14.26/14.19 ** KEPT (pick-wt=22): 859 [] -class_Fields_Ofield__inverse__zero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)!=D|C=c_Groups_Ozero__class_Ozero(A)|B=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C).
% 14.26/14.19 ** KEPT (pick-wt=18): 860 [] -class_Fields_Ofield__inverse__zero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)!=D|C!=c_Groups_Ozero__class_Ozero(A)|D=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.19 ** KEPT (pick-wt=18): 861 [] -class_Fields_Ofield__inverse__zero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)=D|C!=c_Groups_Ozero__class_Ozero(A)|D!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.19 ** KEPT (pick-wt=22): 862 [] -class_Fields_Ofield__inverse__zero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)=D|B!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)|C=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.19 ** KEPT (pick-wt=22): 863 [] -class_Fields_Ofield__inverse__zero(A)|hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),B),C)=D|B!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C)|D!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.19 ** KEPT (pick-wt=22): 864 [] -class_Fields_Ofield__inverse__zero(A)|B!=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)|D=c_Groups_Ozero__class_Ozero(A)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)=C.
% 14.26/14.19 ** KEPT (pick-wt=18): 865 [] -class_Fields_Ofield__inverse__zero(A)|B!=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)|D!=c_Groups_Ozero__class_Ozero(A)|B=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.19 ** KEPT (pick-wt=18): 866 [] -class_Fields_Ofield__inverse__zero(A)|B=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)|D!=c_Groups_Ozero__class_Ozero(A)|B!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.19 ** KEPT (pick-wt=22): 867 [] -class_Fields_Ofield__inverse__zero(A)|B=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)!=C|D=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.19 ** KEPT (pick-wt=22): 868 [] -class_Fields_Ofield__inverse__zero(A)|B=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),C),D)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D)!=C|B!=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.19 ** KEPT (pick-wt=25): 869 [] -class_Divides_Osemiring__div(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Divides_Odiv__class_Odiv(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))=c_Divides_Odiv__class_Odiv(A,C,D).
% 14.26/14.19 ** KEPT (pick-wt=25): 870 [] -class_Divides_Osemiring__div(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Divides_Odiv__class_Odiv(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),B))=c_Divides_Odiv__class_Odiv(A,C,D).
% 14.26/14.19 ** KEPT (pick-wt=17): 871 [] -class_Divides_Osemiring__div(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Divides_Odiv__class_Odiv(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),B)=C.
% 14.26/14.19 ** KEPT (pick-wt=17): 872 [] -class_Divides_Osemiring__div(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Divides_Odiv__class_Odiv(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B),B)=C.
% 14.26/14.19 ** KEPT (pick-wt=23): 873 [] -class_Divides_Osemiring__div(A)|B!=c_Groups_Ozero__class_Ozero(A)|c_Divides_Odiv__class_Odiv(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))=c_Groups_Ozero__class_Ozero(A).
% 14.26/14.19 Following clause subsumed by 869 during input processing: 0 [] -class_Divides_Osemiring__div(A)|B=c_Groups_Ozero__class_Ozero(A)|c_Divides_Odiv__class_Odiv(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))=c_Divides_Odiv__class_Odiv(A,C,D).
% 14.26/14.19 ** KEPT (pick-wt=36): 874 [] -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Oabs__class_Oabs(A),B),C)| -c_Orderings_Oord__class_Oless(A,hAPP(c_Groups_Oabs__class_Oabs(A),D),E)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(c_Groups_Oabs__class_Oabs(A),B)),hAPP(c_Groups_Oabs__class_Oabs(A),D)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E)).
% 14.26/14.19 ** KEPT (pick-wt=30): 876 [copy,875,flip.2] -class_Groups_Omonoid__mult(A)|hAPP(hAPP(c_Groups_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_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),D)).
% 14.26/14.19 ** KEPT (pick-wt=30): 877 [] -class_Rings_Ocomm__semiring__1(A)|hAPP(hAPP(c_Groups_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_Groups_Oplus__class_Oplus(tc_Nat_Onat),C),D)).
% 14.26/14.19 ** KEPT (pick-wt=23): 878 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B,C)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),C)).
% 14.26/14.19 ** KEPT (pick-wt=20): 879 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),B)).
% 14.26/14.19 ** KEPT (pick-wt=23): 880 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),C),A))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B,C).
% 14.26/14.19 ** KEPT (pick-wt=23): 881 [] -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),A)|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),C),A))| -c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B,C).
% 14.26/14.19 ** KEPT (pick-wt=23): 882 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),B))!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|A=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.19 ** KEPT (pick-wt=23): 883 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),B))!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|B=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.19 ** KEPT (pick-wt=27): 884 [] hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),A),A)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),B),B))=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|A!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)|B!=c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal).
% 14.26/14.19 ** KEPT (pick-wt=27): 885 [] -class_RealVector_Oreal__normed__div__algebra(A)| -c_Limits_Otendsto(B,A,C,D,E)|D=c_Groups_Ozero__class_Ozero(A)|c_Limits_Otendsto(B,A,c_COMBB(A,A,B,c_Rings_Oinverse__class_Oinverse(A),C),hAPP(c_Rings_Oinverse__class_Oinverse(A),D),E).
% 14.26/14.19 Following clause subsumed by 733 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,A,c_COMBB(A,A,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(A),D),B),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C),c_Limits_Ose_quentially).
% 14.26/14.19 Following clause subsumed by 734 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,A,c_COMBC(tc_Nat_Onat,A,A,c_COMBB(A,tc_fun(A,A),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),D),c_Limits_Ose_quentially).
% 14.26/14.19 Following clause subsumed by 735 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)| -c_Limits_Otendsto(tc_Nat_Onat,A,B,C,c_Limits_Ose_quentially)| -c_Limits_Otendsto(tc_Nat_Onat,A,D,E,c_Limits_Ose_quentially)|c_Limits_Otendsto(tc_Nat_Onat,A,c_COMBS(tc_Nat_Onat,A,A,c_COMBB(A,tc_fun(A,A),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E),c_Limits_Ose_quentially).
% 14.26/14.19 ** KEPT (pick-wt=21): 886 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(c_Rings_Oinverse__class_Oinverse(A),B),hAPP(c_Rings_Oinverse__class_Oinverse(A),C))| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,C,B).
% 14.26/14.19 ** KEPT (pick-wt=21): 887 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(c_Rings_Oinverse__class_Oinverse(A),B),hAPP(c_Rings_Oinverse__class_Oinverse(A),C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless__e_q(A,C,B).
% 14.26/14.19 ** KEPT (pick-wt=21): 888 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless(A,C,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,hAPP(c_Rings_Oinverse__class_Oinverse(A),C),hAPP(c_Rings_Oinverse__class_Oinverse(A),B)).
% 14.26/14.19 ** KEPT (pick-wt=21): 889 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(c_Rings_Oinverse__class_Oinverse(A),C),hAPP(c_Rings_Oinverse__class_Oinverse(A),B)).
% 14.26/14.19 ** KEPT (pick-wt=20): 890 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(c_Rings_Oinverse__class_Oinverse(A),B),c_Groups_Oone__class_Oone(A))|c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oone__class_Oone(A),B).
% 14.26/14.19 ** KEPT (pick-wt=15): 891 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(c_Rings_Oinverse__class_Oinverse(A),B),c_Groups_Oone__class_Oone(A))| -c_Orderings_Oord__class_Oless__e_q(A,B,c_Groups_Ozero__class_Ozero(A)).
% 14.26/14.19 ** KEPT (pick-wt=15): 892 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(c_Rings_Oinverse__class_Oinverse(A),B),c_Groups_Oone__class_Oone(A))| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Oone__class_Oone(A),B).
% 14.26/14.19 ** KEPT (pick-wt=15): 893 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B))|c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B).
% 14.26/14.19 ** KEPT (pick-wt=15): 894 [] -class_Fields_Olinordered__field__inverse__zero(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B))|c_Orderings_Oord__class_Oless(A,B,c_Groups_Oone__class_Oone(A)).
% 14.26/14.19 ** KEPT (pick-wt=20): 895 [] -class_Fields_Olinordered__field__inverse__zero(A)|c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Oone__class_Oone(A)).
% 14.26/14.19 ** KEPT (pick-wt=20): 896 [] -class_Fields_Olinordered__field(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Oone__class_Oone(A))|c_Orderings_Oord__class_Oless(A,c_Groups_Oone__class_Oone(A),hAPP(c_Rings_Oinverse__class_Oinverse(A),B)).
% 14.26/14.19 Following clause subsumed by 788 during input processing: 0 [] -class_Rings_Odivision__ring(A)|B=c_Groups_Ozero__class_Ozero(A)|hAPP(c_Rings_Oinverse__class_Oinverse(A),B)=hAPP(hAPP(c_Rings_Oinverse__class_Odivide(A),c_Groups_Oone__class_Oone(A)),B).
% 14.26/14.19 ** KEPT (pick-wt=25): 897 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless__e_q(A,C,D).
% 14.26/14.19 ** KEPT (pick-wt=25): 898 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless__e_q(A,B,D).
% 14.26/14.19 ** KEPT (pick-wt=25): 899 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,C,D).
% 14.26/14.19 ** KEPT (pick-wt=25): 900 [] -class_Rings_Olinordered__semiring(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless(A,C,D).
% 14.26/14.19 ** KEPT (pick-wt=25): 901 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,B,D).
% 14.26/14.19 ** KEPT (pick-wt=25): 902 [] -class_Rings_Olinordered__semiring(A)| -c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),D),C))| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C)|c_Orderings_Oord__class_Oless(A,B,D).
% 14.26/14.19 ** KEPT (pick-wt=34): 903 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless__e_q(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,E)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E)).
% 14.26/14.19 ** KEPT (pick-wt=34): 904 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless__e_q(A,D,E)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E)).
% 14.26/14.19 ** KEPT (pick-wt=34): 905 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,E)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E)).
% 14.26/14.19 ** KEPT (pick-wt=34): 906 [] -class_Rings_Olinordered__semiring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,C)| -c_Orderings_Oord__class_Oless(A,D,E)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),C)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),D)|c_Orderings_Oord__class_Oless(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),E)).
% 14.26/14.19 ** KEPT (pick-wt=25): 907 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))|c_Orderings_Oord__class_Oless__e_q(A,D,C).
% 14.26/14.19 ** KEPT (pick-wt=25): 908 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,B,c_Groups_Ozero__class_Ozero(A))|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless__e_q(A,D,C).
% 14.26/14.19 ** KEPT (pick-wt=25): 909 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))|c_Orderings_Oord__class_Oless__e_q(A,C,D).
% 14.26/14.19 ** KEPT (pick-wt=25): 910 [] -class_Rings_Olinordered__ring__strict(A)| -c_Orderings_Oord__class_Oless(A,c_Groups_Ozero__class_Ozero(A),B)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),D))| -c_Orderings_Oord__class_Oless__e_q(A,C,D).
% 14.26/14.19 ** KEPT (pick-wt=26): 911 [] -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C)| -c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Oone__class_Oone(A))|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C),B).
% 14.26/14.19 ** KEPT (pick-wt=26): 912 [] -class_Rings_Olinordered__idom(A)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),B)| -c_Orderings_Oord__class_Oless__e_q(A,c_Groups_Ozero__class_Ozero(A),C)| -c_Orderings_Oord__class_Oless__e_q(A,C,c_Groups_Oone__class_Oone(A))|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),C),B),B).
% 14.26/14.19 ** KEPT (pick-wt=45): 913 [] -class_Rings_Oordered__ring(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C)),F))|c_Orderings_Oord__class_Oless__e_q(A,D,hAP
% 14.26/14.20 Search stopped in tp_alloc by max_mem option.
% 14.26/14.20 P(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),E),B)),C)),F)).
% 14.26/14.20 ** KEPT (pick-wt=45): 914 [] -class_Rings_Oordered__ring(A)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C)),F))| -c_Orderings_Oord__class_Oless__e_q(A,D,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),E),B)),C)),F)).
% 14.26/14.20 ** KEPT (pick-wt=45): 915 [] -class_Rings_Oordered__ring(A)| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C)),F))|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),E)),C)),D),F).
% 14.26/14.20 ** KEPT (pick-wt=45): 916 [] -class_Rings_Oordered__ring(A)|c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),B),C)),D),hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),E),C)),F))| -c_Orderings_Oord__class_Oless__e_q(A,hAPP(hAPP(c_Groups_Oplus__class_Oplus(A),hAPP(hAPP(c_Groups_Otimes__class_Otimes(A),hAPP(hAPP(c_Groups_Ominus__class_Ominus(A),B),E)),C)),D),F).
% 14.26/14.20
% 14.26/14.20 Search stopped in tp_alloc by max_mem option.
% 14.26/14.20
% 14.26/14.20 ============ end of search ============
% 14.26/14.20
% 14.26/14.20 -------------- statistics -------------
% 14.26/14.20 clauses given 0
% 14.26/14.20 clauses generated 0
% 14.26/14.20 clauses kept 877
% 14.26/14.20 clauses forward subsumed 128
% 14.26/14.20 clauses back subsumed 0
% 14.26/14.20 Kbytes malloced 11718
% 14.26/14.20
% 14.26/14.20 ----------- times (seconds) -----------
% 14.26/14.20 user CPU time 0.21 (0 hr, 0 min, 0 sec)
% 14.26/14.20 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 14.26/14.20 wall-clock time 14 (0 hr, 0 min, 14 sec)
% 14.26/14.20
% 14.26/14.20 Process 19168 finished Wed Jul 27 03:14:43 2022
% 14.26/14.20 Otter interrupted
% 14.26/14.20 PROOF NOT FOUND
%------------------------------------------------------------------------------