Translate the following inference to logic notation: For all x, if x_4 plays tennis, then x_4 is a scientist. For all x, x_4 is a scientist if and only if x_4 will climb a mountain. For all x, x_4 will not climb a mountain. Therefore for all x, x_4 will not play tennis.
forall x: P(x) -> Q(x). forall x: Q(x) <-> R(x). forall x: ~R(x). Therefore forall x: ~P(x).