%   ORIGINAL: h4/ieee/ccode2num__num2ccode
% 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/ieee/ccode__BIJ_c1: !r. (\n. h4/prim__rec/_3C n (h4/arithmetic/NUMERAL (h4/arithmetic/BIT2 (h4/arithmetic/BIT1 h4/arithmetic/ZERO)))) r <=> h4/ieee/ccode2num (h4/ieee/num2ccode r) = r
% Goal: !r. h4/prim__rec/_3C r (h4/arithmetic/NUMERAL (h4/arithmetic/BIT2 (h4/arithmetic/BIT1 h4/arithmetic/ZERO))) <=> h4/ieee/ccode2num (h4/ieee/num2ccode r) = r
%   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_ieees_ccodeu_u_BIJu_c1]: !r. h4/prim__rec/_3C r (h4/arithmetic/NUMERAL (h4/arithmetic/BIT2 (h4/arithmetic/BIT1 h4/arithmetic/ZERO))) <=> h4/ieee/ccode2num (h4/ieee/num2ccode r) = r
% Goal: !r. h4/prim__rec/_3C r (h4/arithmetic/NUMERAL (h4/arithmetic/BIT2 (h4/arithmetic/BIT1 h4/arithmetic/ZERO))) <=> h4/ieee/ccode2num (h4/ieee/num2ccode r) = r
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_Q145867,TV_Q145863]: ![V_f, V_g]: (![V_x]: s(TV_Q145863,happ(s(t_fun(TV_Q145867,TV_Q145863),V_f),s(TV_Q145867,V_x))) = s(TV_Q145863,happ(s(t_fun(TV_Q145867,TV_Q145863),V_g),s(TV_Q145867,V_x))) => s(t_fun(TV_Q145867,TV_Q145863),V_f) = s(t_fun(TV_Q145867,TV_Q145863),V_g))).
fof(ah4s_ieees_ccodeu_u_BIJu_c1, axiom, ![V_r]: (p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,V_r),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))) <=> s(t_h4s_nums_num,h4s_ieees_ccode2num(s(t_h4s_ieees_ccode,h4s_ieees_num2ccode(s(t_h4s_nums_num,V_r))))) = s(t_h4s_nums_num,V_r))).
fof(ch4s_ieees_ccode2numu_u_num2ccode, conjecture, ![V_r]: (p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,V_r),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))) <=> s(t_h4s_nums_num,h4s_ieees_ccode2num(s(t_h4s_ieees_ccode,h4s_ieees_num2ccode(s(t_h4s_nums_num,V_r))))) = s(t_h4s_nums_num,V_r))).
