Translate the following inference to logic notation: For all x, x_7 will play tennis if and only if x_7 will drink water. For all x, x_7 will play tennis if and only if x_7 will climb a mountain. Therefore for all x, if x_7 drinks water, then x_7 is climbing a mountain.
forall x: P(x) <-> Q(x). forall x: P(x) <-> R(x). Therefore forall x: Q(x) -> R(x).