%   ORIGINAL: 'h4/thm/marker/move_right_conj_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: !q p m. (p /\ 'h4/const/marker/stmarker' m) /\ q <=> (p /\ q) /\ 'h4/const/marker/stmarker' m
%   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: !q p m. (p /\ 'h4/const/marker/stmarker' m) /\ q <=> (p /\ q) /\ 'h4/const/marker/stmarker' m
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_3f62036,V_3f62032]: ![F, G]: (![X]: s(V_3f62032,happ(s(fun(V_3f62036,V_3f62032),F),s(V_3f62036,X))) = s(V_3f62032,happ(s(fun(V_3f62036,V_3f62032),G),s(V_3f62036,X))) => s(fun(V_3f62036,V_3f62032),F) = s(fun(V_3f62036,V_3f62032),G))).
fof('h4/thm/marker/move_right_conj_e2', conjecture, ![Q, P, M]: (((p(s(bool,P)) & p(s(bool,'h4/const/marker/stmarker'(s(bool,M))))) & p(s(bool,Q))) <=> ((p(s(bool,P)) & p(s(bool,Q))) & p(s(bool,'h4/const/marker/stmarker'(s(bool,M))))))).
