%   ORIGINAL: h4/rich__list/IS__SUFFIX__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/EQ__SYM__EQ: !y x. x = y <=> y = x
% Assm: h4/rich__list/IS__PREFIX__REVERSE: !l2 l1. h4/list/isPREFIX (h4/list/REVERSE l2) (h4/list/REVERSE l1) <=> h4/rich__list/IS__SUFFIX l1 l2
% Goal: !l2 l1. h4/rich__list/IS__SUFFIX l1 l2 <=> h4/list/isPREFIX (h4/list/REVERSE l2) (h4/list/REVERSE l1)
%   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_EQu_u_SYMu_u_EQ]: !y x. x = y <=> y = x
% Assm [h4s_richu_u_lists_ISu_u_PREFIXu_u_REVERSE]: !l2 l1. h4/list/isPREFIX (h4/list/REVERSE l2) (h4/list/REVERSE l1) <=> h4/rich__list/IS__SUFFIX l1 l2
% Goal: !l2 l1. h4/rich__list/IS__SUFFIX l1 l2 <=> h4/list/isPREFIX (h4/list/REVERSE l2) (h4/list/REVERSE l1)
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_Q165523,TV_Q165519]: ![V_f, V_g]: (![V_x]: s(TV_Q165519,happ(s(t_fun(TV_Q165523,TV_Q165519),V_f),s(TV_Q165523,V_x))) = s(TV_Q165519,happ(s(t_fun(TV_Q165523,TV_Q165519),V_g),s(TV_Q165523,V_x))) => s(t_fun(TV_Q165523,TV_Q165519),V_f) = s(t_fun(TV_Q165523,TV_Q165519),V_g))).
fof(ah4s_bools_EQu_u_SYMu_u_EQ, axiom, ![TV_u_27a]: ![V_y, V_x]: (s(TV_u_27a,V_x) = s(TV_u_27a,V_y) <=> s(TV_u_27a,V_y) = s(TV_u_27a,V_x))).
fof(ah4s_richu_u_lists_ISu_u_PREFIXu_u_REVERSE, axiom, ![TV_u_27a]: ![V_l2, V_l1]: s(t_bool,h4s_lists_isprefix(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),h4s_lists_reverse(s(t_h4s_lists_list(TV_u_27a),V_l1))))) = s(t_bool,h4s_richu_u_lists_isu_u_suffix(s(t_h4s_lists_list(TV_u_27a),V_l1),s(t_h4s_lists_list(TV_u_27a),V_l2)))).
fof(ch4s_richu_u_lists_ISu_u_SUFFIXu_u_compute, conjecture, ![TV_u_27a]: ![V_l2, V_l1]: s(t_bool,h4s_richu_u_lists_isu_u_suffix(s(t_h4s_lists_list(TV_u_27a),V_l1),s(t_h4s_lists_list(TV_u_27a),V_l2))) = s(t_bool,h4s_lists_isprefix(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),h4s_lists_reverse(s(t_h4s_lists_list(TV_u_27a),V_l1)))))).
