%   ORIGINAL: h4/one/one1
% 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/one/one__axiom: !g f. f = g
% Goal: !v. v = h4/one/one0
%   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_ones_oneu_u_axiom]: !g f. f = g
% Goal: !v. v = h4/one/one0
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_Q327964,TV_Q327960]: ![V_f, V_g]: (![V_x]: s(TV_Q327960,happ(s(t_fun(TV_Q327964,TV_Q327960),V_f),s(TV_Q327964,V_x))) = s(TV_Q327960,happ(s(t_fun(TV_Q327964,TV_Q327960),V_g),s(TV_Q327964,V_x))) => s(t_fun(TV_Q327964,TV_Q327960),V_f) = s(t_fun(TV_Q327964,TV_Q327960),V_g))).
fof(ah4s_ones_oneu_u_axiom, axiom, ![TV_u_27a]: ![V_g, V_f]: s(t_fun(TV_u_27a,t_h4s_ones_one),V_f) = s(t_fun(TV_u_27a,t_h4s_ones_one),V_g)).
fof(ch4s_ones_one1, conjecture, ![V_v]: s(t_h4s_ones_one,V_v) = s(t_h4s_ones_one,h4s_ones_one0)).
