Translate the following inference to logic notation: For all x, if y reads a book, then y is drinking water. For all x, y will play a game or y will not drink water. For all x, if y plays a game, then y is reading a book. Therefore for all x, y will read a book if and only if y will drink water.
forall x: P(x) -> Q(x). forall x: R(x) or ~Q(x). forall x: R(x) -> P(x). Therefore forall x: P(x) <-> Q(x).