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