Translate the following inference to logic notation: For all x, y_2 is a bartender if and only if y_2 will play a game. For all x, if y_2 were a bartender, then y_2 is playing a game. For all x, y_2 is a bartender if and only if y_2 will read a book. Therefore for all x, if y_2 plays a game, then y_2 is reading a book.
forall x: P(x) <-> Q(x). forall x: P(x) -> Q(x). forall x: P(x) <-> R(x). Therefore forall x: Q(x) -> R(x).