Translate the following inference to logic notation: For all x, if y were a bartender, then y is playing a game. For all x, if y plays a game, then y is an artist. For all x, if y were an artist, then y is a bartender. Therefore for all x, if y were an artist, then y is a bartender.
forall x: P(x) -> Q(x). forall x: Q(x) -> R(x). forall x: R(x) -> P(x). Therefore forall x: R(x) -> P(x).