Translate the following inference to logic notation: For all x, z will play tennis or z will not climb a mountain. For all x, z is a doctor or z will not play tennis. Therefore for all x, if z climbs a mountain, then z is a doctor.
forall x: P(x) or ~Q(x). forall x: R(x) or ~P(x). Therefore forall x: Q(x) -> R(x).