%   ORIGINAL: h4/bag/FINITE__BAG__THM_c0
% 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/bag/FINITE__EMPTY__BAG: h4/bag/FINITE__BAG h4/bag/EMPTY__BAG
% Goal: h4/bag/FINITE__BAG h4/bag/EMPTY__BAG
%   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_bags_FINITEu_u_EMPTYu_u_BAG]: h4/bag/FINITE__BAG h4/bag/EMPTY__BAG
% Goal: h4/bag/FINITE__BAG h4/bag/EMPTY__BAG
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_Q230559,TV_Q230555]: ![V_f, V_g]: (![V_x]: s(TV_Q230555,happ(s(t_fun(TV_Q230559,TV_Q230555),V_f),s(TV_Q230559,V_x))) = s(TV_Q230555,happ(s(t_fun(TV_Q230559,TV_Q230555),V_g),s(TV_Q230559,V_x))) => s(t_fun(TV_Q230559,TV_Q230555),V_f) = s(t_fun(TV_Q230559,TV_Q230555),V_g))).
fof(ah4s_bags_FINITEu_u_EMPTYu_u_BAG, axiom, ![TV_u_27a]: p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(TV_u_27a,t_h4s_nums_num),h4s_bags_emptyu_u_bag))))).
fof(ch4s_bags_FINITEu_u_BAGu_u_THMu_c0, conjecture, ![TV_u_27a]: p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(TV_u_27a,t_h4s_nums_num),h4s_bags_emptyu_u_bag))))).
