That means quitters are winners?
The truth table is:
QUIT | WIN | result
-----+-----+------------------
no | no | possible, idiot
no | yes | possible, winner
yes | no | possible, quitter
yes | yes | impossibleIn any case, I'd dispute your logical equivalence. All quitters are not winners. But not all "not winners" are quitters. Some just keep playing and losing. Like I do at chess.