%   ORIGINAL: 'h4/thm/list/FOLDL2_def_e2'
% 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: !v7 v6 f a. 'h4/const/list/FOLDL2' f a ('h4/const/list/CONS' v6 v7) 'h4/const/list/NIL' = a
%   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: !v7 v6 f a. 'h4/const/list/FOLDL2' f a ('h4/const/list/CONS' v6 v7) 'h4/const/list/NIL' = a
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_3f7415,V_3f7411]: ![F, G]: (![X]: s(V_3f7411,happ(s(fun(V_3f7415,V_3f7411),F),s(V_3f7415,X))) = s(V_3f7411,happ(s(fun(V_3f7415,V_3f7411),G),s(V_3f7415,X))) => s(fun(V_3f7415,V_3f7411),F) = s(fun(V_3f7415,V_3f7411),G))).
fof('h4/thm/list/FOLDL2_def_e2', conjecture, ![B,C,A]: ![V7, V6, F, A0]: s(A,'h4/const/list/FOLDL2'(s(fun(A,fun(B,fun(C,A))),F),s(A,A0),s('h4/type/list/list'(B),'h4/const/list/CONS'(s(B,V6),s('h4/type/list/list'(B),V7))),s('h4/type/list/list'(C),'h4/const/list/NIL'))) = s(A,A0)).
