%   ORIGINAL: 'h4/thm/topology/MR1_LIMPT_'
% 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: !x. 'h4/const/topology/limpt' ('h4/const/topology/mtop' 'h4/const/topology/mr1') x 'h4/const/pred_set/UNIV'
%   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: !x. 'h4/const/topology/limpt' ('h4/const/topology/mtop' 'h4/const/topology/mr1') x 'h4/const/pred_set/UNIV'
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_3f38205,V_3f38201]: ![F, G]: (![X]: s(V_3f38201,happ(s(fun(V_3f38205,V_3f38201),F),s(V_3f38205,X))) = s(V_3f38201,happ(s(fun(V_3f38205,V_3f38201),G),s(V_3f38205,X))) => s(fun(V_3f38205,V_3f38201),F) = s(fun(V_3f38205,V_3f38201),G))).
fof('h4/thm/topology/MR1_LIMPT_', conjecture, ![X]: p(s(bool,'h4/const/topology/limpt'(s('h4/type/topology/topology'('h4/type/realax/real'),'h4/const/topology/mtop'(s('h4/type/topology/metric'('h4/type/realax/real'),'h4/const/topology/mr1'))),s('h4/type/realax/real',X),s(fun('h4/type/realax/real',bool),'h4/const/pred_set/UNIV'))))).
