%   ORIGINAL: 'h4/thm/list/REVERSE_o_REVERSE_'
% 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: !f. 'h4/const/combin/o' 'h4/const/list/REVERSE' ('h4/const/combin/o' 'h4/const/list/REVERSE' f) = f
%   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: !f. 'h4/const/combin/o' 'h4/const/list/REVERSE' ('h4/const/combin/o' 'h4/const/list/REVERSE' f) = f
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_3f12244,V_3f12240]: ![F, G]: (![X]: s(V_3f12240,happ(s(fun(V_3f12244,V_3f12240),F),s(V_3f12244,X))) = s(V_3f12240,happ(s(fun(V_3f12244,V_3f12240),G),s(V_3f12244,X))) => s(fun(V_3f12244,V_3f12240),F) = s(fun(V_3f12244,V_3f12240),G))).
fof('h4/thm/list/REVERSE_o_REVERSE_', conjecture, ![A,B]: ![F]: s(fun(A,'h4/type/list/list'(B)),'h4/const/combin/o'(s(fun('h4/type/list/list'(B),'h4/type/list/list'(B)),'h4/const/list/REVERSE'),s(fun(A,'h4/type/list/list'(B)),'h4/const/combin/o'(s(fun('h4/type/list/list'(B),'h4/type/list/list'(B)),'h4/const/list/REVERSE'),s(fun(A,'h4/type/list/list'(B)),F))))) = s(fun(A,'h4/type/list/list'(B)),F)).
