%   ORIGINAL: 'h4/thm/hrat/HRAT_ARCH_'
% 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: !h. ?n d. 'h4/const/hrat/hrat_sucint' n = 'h4/const/hrat/hrat_add' h d
%   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: !h. ?n d. 'h4/const/hrat/hrat_sucint' n = 'h4/const/hrat/hrat_add' h d
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_3f14094,V_3f14090]: ![F, G]: (![X]: s(V_3f14090,happ(s(fun(V_3f14094,V_3f14090),F),s(V_3f14094,X))) = s(V_3f14090,happ(s(fun(V_3f14094,V_3f14090),G),s(V_3f14094,X))) => s(fun(V_3f14094,V_3f14090),F) = s(fun(V_3f14094,V_3f14090),G))).
fof('h4/thm/hrat/HRAT_ARCH_', conjecture, ![H]: ?[N, D]: s('h4/type/hrat/hrat','h4/const/hrat/hrat_sucint'(s('h4/type/num/num',N))) = s('h4/type/hrat/hrat','h4/const/hrat/hrat_add'(s('h4/type/hrat/hrat',H),s('h4/type/hrat/hrat',D)))).
