Translate the following inference to logic notation: For all x, x_5 will climb a mountain if and only if x_5 will drink water. For all x, if x_5 plays a game, then x_5 is climbing a mountain. For all x, x_5 will play a game. Therefore for all x, x_5 will drink water.
forall x: P(x) <-> Q(x). forall x: R(x) -> P(x). forall x: R(x). Therefore forall x: Q(x).