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