%   ORIGINAL: 'h4/thm/hrat/TRAT_SUCINT_0'
% 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
% Goal: 'h4/const/hrat/trat_eq' ('h4/const/hrat/trat_sucint' 'h4/const/num/0') 'h4/const/hrat/trat_1'
%   PROCESSED
% Assm ['HL_TRUTH']: T
% Assm ['HL_FALSITY']: ~F
% Assm ['HL_BOOL_CASES']: !t. (t <=> T) \/ (t <=> F)
% Assm ['HL_EXT']: !f g. (!x. happ f x = happ g x) ==> f = g
% Goal: 'h4/const/hrat/trat_eq' ('h4/const/hrat/trat_sucint' 'h4/const/num/0') 'h4/const/hrat/trat_1'
fof('HL_TRUTH', axiom, p(s(bool,'T'))).
fof('HL_FALSITY', axiom, ~ (p(s(bool,'F')))).
fof('HL_BOOL_CASES', axiom, ![T]: (s(bool,T) = s(bool,'T') | s(bool,T) = s(bool,'F'))).
fof('HL_EXT', axiom, ![V_3f13719,V_3f13715]: ![F, G]: (![X]: s(V_3f13715,happ(s(fun(V_3f13719,V_3f13715),F),s(V_3f13719,X))) = s(V_3f13715,happ(s(fun(V_3f13719,V_3f13715),G),s(V_3f13719,X))) => s(fun(V_3f13719,V_3f13715),F) = s(fun(V_3f13719,V_3f13715),G))).
fof('h4/thm/hrat/TRAT_SUCINT_0', conjecture, p(s(bool,'h4/const/hrat/trat_eq'(s('h4/type/pair/prod'('h4/type/num/num','h4/type/num/num'),'h4/const/hrat/trat_sucint'(s('h4/type/num/num','h4/const/num/0'))),s('h4/type/pair/prod'('h4/type/num/num','h4/type/num/num'),'h4/const/hrat/trat_1'))))).
