Translate the following inference to logic notation: For all x, if x_5 climbs a mountain, then x_5 is playing tennis. For all x, if x_5 plays squash, then x_5 is climbing a mountain. For all x, x_5 is fast. For all x, if x_5 were fast, then x_5 is playing squash. Therefore for all x, x_5 will play tennis.
forall x: P(x) -> Q(x). forall x: R(x) -> P(x). forall x: S(x). forall x: S(x) -> R(x). Therefore forall x: Q(x).