%   ORIGINAL: 'h4/thm/pair/CURRY_ONE_ONE_THM_'
% 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: !g f. 'h4/const/pair/CURRY' f = 'h4/const/pair/CURRY' g <=> f = g
%   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: !g f. 'h4/const/pair/CURRY' f = 'h4/const/pair/CURRY' g <=> f = g
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_3f61036,V_3f61032]: ![F, G]: (![X]: s(V_3f61032,happ(s(fun(V_3f61036,V_3f61032),F),s(V_3f61036,X))) = s(V_3f61032,happ(s(fun(V_3f61036,V_3f61032),G),s(V_3f61036,X))) => s(fun(V_3f61036,V_3f61032),F) = s(fun(V_3f61036,V_3f61032),G))).
fof('h4/thm/pair/CURRY_ONE_ONE_THM_', conjecture, ![A,B,C]: ![G, F]: (s(fun(A,fun(B,C)),'h4/const/pair/CURRY'(s(fun('h4/type/pair/prod'(A,B),C),F))) = s(fun(A,fun(B,C)),'h4/const/pair/CURRY'(s(fun('h4/type/pair/prod'(A,B),C),G))) <=> s(fun('h4/type/pair/prod'(A,B),C),F) = s(fun('h4/type/pair/prod'(A,B),C),G))).
