%   ORIGINAL: h4/integerRing/int__rewrites_c14
% 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/integer/INT__0: h4/integer/int__0 = h4/integer/int__of__num h4/num/0
% Goal: h4/integer/int__0 = h4/integer/int__of__num h4/num/0
%   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_integers_INTu_u_0]: h4/integer/int__0 = h4/integer/int__of__num h4/num/0
% Goal: h4/integer/int__0 = h4/integer/int__of__num h4/num/0
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_Q167931,TV_Q167927]: ![V_f, V_g]: (![V_x]: s(TV_Q167927,happ(s(t_fun(TV_Q167931,TV_Q167927),V_f),s(TV_Q167931,V_x))) = s(TV_Q167927,happ(s(t_fun(TV_Q167931,TV_Q167927),V_g),s(TV_Q167931,V_x))) => s(t_fun(TV_Q167931,TV_Q167927),V_f) = s(t_fun(TV_Q167931,TV_Q167927),V_g))).
fof(ah4s_integers_INTu_u_0, axiom, s(t_h4s_integers_int,h4s_integers_intu_u_0) = s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))).
fof(ch4s_integerRings_intu_u_rewritesu_c14, conjecture, s(t_h4s_integers_int,h4s_integers_intu_u_0) = s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))).
