%   ORIGINAL: h4/ASCIInumbers/STRCAT__toString__inj
% Assm: HL_TRUTH: T
% Assm: HL_FALSITY: ~F
% Assm: HL_BOOL_CASES: !t. (t <=> T) \/ (t <=> F)
% Assm: HL_EXT: !f g. (!x. f x = g x) ==> f = g
% Assm: h4/bool/TRUTH: T
% Assm: h4/bool/REFL__CLAUSE: !x. x = x <=> T
% Assm: h4/list/APPEND__11_c0: !l3 l2 l1. h4/list/APPEND l1 l2 = h4/list/APPEND l1 l3 <=> l2 = l3
% Assm: h4/ASCIInumbers/toString__inj: !n m. h4/ASCIInumbers/num__to__dec__string n = h4/ASCIInumbers/num__to__dec__string m <=> n = m
% Goal: !s n m. h4/list/APPEND s (h4/ASCIInumbers/num__to__dec__string n) = h4/list/APPEND s (h4/ASCIInumbers/num__to__dec__string m) <=> n = m
%   PROCESSED
% Assm [HLu_TRUTH]: T
% Assm [HLu_FALSITY]: ~F
% Assm [HLu_BOOLu_CASES]: !t. (t <=> T) \/ (t <=> F)
% Assm [HLu_EXT]: !f g. (!x. happ f x = happ g x) ==> f = g
% Assm [h4s_bools_TRUTH]: T
% Assm [h4s_bools_REFLu_u_CLAUSE]: !x. x = x <=> T
% Assm [h4s_lists_APPENDu_u_11u_c0]: !l3 l2 l1. h4/list/APPEND l1 l2 = h4/list/APPEND l1 l3 <=> l2 = l3
% Assm [h4s_ASCIInumberss_toStringu_u_inj]: !n m. h4/ASCIInumbers/num__to__dec__string n = h4/ASCIInumbers/num__to__dec__string m <=> n = m
% Goal: !s n m. h4/list/APPEND s (h4/ASCIInumbers/num__to__dec__string n) = h4/list/APPEND s (h4/ASCIInumbers/num__to__dec__string m) <=> n = m
fof(aHLu_TRUTH, axiom, p(s(t_bool,t))).
fof(aHLu_FALSITY, axiom, ~ (p(s(t_bool,f)))).
fof(aHLu_BOOLu_CASES, axiom, ![V_t]: (s(t_bool,V_t) = s(t_bool,t) | s(t_bool,V_t) = s(t_bool,f))).
fof(aHLu_EXT, axiom, ![TV_Q207717,TV_Q207713]: ![V_f, V_g]: (![V_x]: s(TV_Q207713,happ(s(t_fun(TV_Q207717,TV_Q207713),V_f),s(TV_Q207717,V_x))) = s(TV_Q207713,happ(s(t_fun(TV_Q207717,TV_Q207713),V_g),s(TV_Q207717,V_x))) => s(t_fun(TV_Q207717,TV_Q207713),V_f) = s(t_fun(TV_Q207717,TV_Q207713),V_g))).
fof(ah4s_bools_TRUTH, axiom, p(s(t_bool,t))).
fof(ah4s_bools_REFLu_u_CLAUSE, axiom, ![TV_u_27a]: ![V_x]: (s(TV_u_27a,V_x) = s(TV_u_27a,V_x) <=> p(s(t_bool,t)))).
fof(ah4s_lists_APPENDu_u_11u_c0, axiom, ![TV_u_27a]: ![V_l3, V_l2, V_l1]: (s(t_h4s_lists_list(TV_u_27a),h4s_lists_append(s(t_h4s_lists_list(TV_u_27a),V_l1),s(t_h4s_lists_list(TV_u_27a),V_l2))) = s(t_h4s_lists_list(TV_u_27a),h4s_lists_append(s(t_h4s_lists_list(TV_u_27a),V_l1),s(t_h4s_lists_list(TV_u_27a),V_l3))) <=> s(t_h4s_lists_list(TV_u_27a),V_l2) = s(t_h4s_lists_list(TV_u_27a),V_l3))).
fof(ah4s_ASCIInumberss_toStringu_u_inj, axiom, ![V_n, V_m]: (s(t_h4s_lists_list(t_h4s_strings_char),h4s_asciinumberss_numu_u_tou_u_decu_u_string(s(t_h4s_nums_num,V_n))) = s(t_h4s_lists_list(t_h4s_strings_char),h4s_asciinumberss_numu_u_tou_u_decu_u_string(s(t_h4s_nums_num,V_m))) <=> s(t_h4s_nums_num,V_n) = s(t_h4s_nums_num,V_m))).
fof(ch4s_ASCIInumberss_STRCATu_u_toStringu_u_inj, conjecture, ![V_s, V_n, V_m]: (s(t_h4s_lists_list(t_h4s_strings_char),h4s_lists_append(s(t_h4s_lists_list(t_h4s_strings_char),V_s),s(t_h4s_lists_list(t_h4s_strings_char),h4s_asciinumberss_numu_u_tou_u_decu_u_string(s(t_h4s_nums_num,V_n))))) = s(t_h4s_lists_list(t_h4s_strings_char),h4s_lists_append(s(t_h4s_lists_list(t_h4s_strings_char),V_s),s(t_h4s_lists_list(t_h4s_strings_char),h4s_asciinumberss_numu_u_tou_u_decu_u_string(s(t_h4s_nums_num,V_m))))) <=> s(t_h4s_nums_num,V_n) = s(t_h4s_nums_num,V_m))).
