Winners never quit. And quitters never win.
But those who never win AND never quit are idiots.
But those who never win AND never quit are idiots.
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.