%   ORIGINAL: 'h4/thm/list/SWAP_REVERSE_SYM_'
% 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: !l1 l2. 'h4/const/list/REVERSE' l1 = l2 <=> l1 = 'h4/const/list/REVERSE' l2
%   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: !l1 l2. 'h4/const/list/REVERSE' l1 = l2 <=> l1 = 'h4/const/list/REVERSE' l2
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_3f11944,V_3f11940]: ![F, G]: (![X]: s(V_3f11940,happ(s(fun(V_3f11944,V_3f11940),F),s(V_3f11944,X))) = s(V_3f11940,happ(s(fun(V_3f11944,V_3f11940),G),s(V_3f11944,X))) => s(fun(V_3f11944,V_3f11940),F) = s(fun(V_3f11944,V_3f11940),G))).
fof('h4/thm/list/SWAP_REVERSE_SYM_', conjecture, ![A]: ![L1, L2]: (s('h4/type/list/list'(A),'h4/const/list/REVERSE'(s('h4/type/list/list'(A),L1))) = s('h4/type/list/list'(A),L2) <=> s('h4/type/list/list'(A),L1) = s('h4/type/list/list'(A),'h4/const/list/REVERSE'(s('h4/type/list/list'(A),L2))))).
