%   ORIGINAL: h4/ASCIInumbers/n2s__compute
% 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/EQ__CLAUSES_c1: !t. (t <=> T) <=> t
% Assm: h4/list/REVERSE__11: !l2 l1. h4/list/REVERSE l1 = h4/list/REVERSE l2 <=> l1 = l2
% Assm: h4/string/IMPLODE__EXPLODE__I_c1: !s. h4/string/IMPLODE s = s
% Assm: h4/ASCIInumbers/n2s__def: !n f b. h4/ASCIInumbers/n2s b f n = h4/list/REVERSE (h4/list/MAP f (h4/numposrep/n2l b n))
% Goal: !n f b. h4/ASCIInumbers/n2s b f n = h4/string/IMPLODE (h4/list/REVERSE (h4/list/MAP f (h4/numposrep/n2l b n)))
%   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_EQu_u_CLAUSESu_c1]: !t. (t <=> T) <=> t
% Assm [h4s_lists_REVERSEu_u_11]: !l2 l1. h4/list/REVERSE l1 = h4/list/REVERSE l2 <=> l1 = l2
% Assm [h4s_strings_IMPLODEu_u_EXPLODEu_u_Iu_c1]: !s. h4/string/IMPLODE s = s
% Assm [h4s_ASCIInumberss_n2su_u_def]: !n f b. h4/ASCIInumbers/n2s b f n = h4/list/REVERSE (h4/list/MAP f (h4/numposrep/n2l b n))
% Goal: !n f b. h4/ASCIInumbers/n2s b f n = h4/string/IMPLODE (h4/list/REVERSE (h4/list/MAP f (h4/numposrep/n2l b n)))
fof(aHLu_TRUTH, axiom, p(s(t_bool,t))).
fof(aHLu_FALSITY, axiom, ~ (p(s(t_bool,f0)))).
fof(aHLu_BOOLu_CASES, axiom, ![V_t]: (s(t_bool,V_t) = s(t_bool,t) | s(t_bool,V_t) = s(t_bool,f0))).
fof(aHLu_EXT, axiom, ![TV_Q207387,TV_Q207383]: ![V_f, V_g]: (![V_x]: s(TV_Q207383,happ(s(t_fun(TV_Q207387,TV_Q207383),V_f),s(TV_Q207387,V_x))) = s(TV_Q207383,happ(s(t_fun(TV_Q207387,TV_Q207383),V_g),s(TV_Q207387,V_x))) => s(t_fun(TV_Q207387,TV_Q207383),V_f) = s(t_fun(TV_Q207387,TV_Q207383),V_g))).
fof(ah4s_bools_TRUTH, axiom, p(s(t_bool,t))).
fof(ah4s_bools_EQu_u_CLAUSESu_c1, axiom, ![V_t]: (s(t_bool,V_t) = s(t_bool,t) <=> p(s(t_bool,V_t)))).
fof(ah4s_lists_REVERSEu_u_11, axiom, ![TV_u_27a]: ![V_l2, V_l1]: (s(t_h4s_lists_list(TV_u_27a),h4s_lists_reverse(s(t_h4s_lists_list(TV_u_27a),V_l1))) = s(t_h4s_lists_list(TV_u_27a),h4s_lists_reverse(s(t_h4s_lists_list(TV_u_27a),V_l2))) <=> s(t_h4s_lists_list(TV_u_27a),V_l1) = s(t_h4s_lists_list(TV_u_27a),V_l2))).
fof(ah4s_strings_IMPLODEu_u_EXPLODEu_u_Iu_c1, axiom, ![V_s]: s(t_h4s_lists_list(t_h4s_strings_char),h4s_strings_implode(s(t_h4s_lists_list(t_h4s_strings_char),V_s))) = s(t_h4s_lists_list(t_h4s_strings_char),V_s)).
fof(ah4s_ASCIInumberss_n2su_u_def, axiom, ![V_n, V_f, V_b]: s(t_h4s_lists_list(t_h4s_strings_char),h4s_asciinumberss_n2s(s(t_h4s_nums_num,V_b),s(t_fun(t_h4s_nums_num,t_h4s_strings_char),V_f),s(t_h4s_nums_num,V_n))) = s(t_h4s_lists_list(t_h4s_strings_char),h4s_lists_reverse(s(t_h4s_lists_list(t_h4s_strings_char),h4s_lists_map(s(t_fun(t_h4s_nums_num,t_h4s_strings_char),V_f),s(t_h4s_lists_list(t_h4s_nums_num),h4s_numposreps_n2l(s(t_h4s_nums_num,V_b),s(t_h4s_nums_num,V_n)))))))).
fof(ch4s_ASCIInumberss_n2su_u_compute, conjecture, ![V_n, V_f, V_b]: s(t_h4s_lists_list(t_h4s_strings_char),h4s_asciinumberss_n2s(s(t_h4s_nums_num,V_b),s(t_fun(t_h4s_nums_num,t_h4s_strings_char),V_f),s(t_h4s_nums_num,V_n))) = s(t_h4s_lists_list(t_h4s_strings_char),h4s_strings_implode(s(t_h4s_lists_list(t_h4s_strings_char),h4s_lists_reverse(s(t_h4s_lists_list(t_h4s_strings_char),h4s_lists_map(s(t_fun(t_h4s_nums_num,t_h4s_strings_char),V_f),s(t_h4s_lists_list(t_h4s_nums_num),h4s_numposreps_n2l(s(t_h4s_nums_num,V_b),s(t_h4s_nums_num,V_n)))))))))).
