Translate the following inference to logic notation: For all x, if x_8 plays squash, then x_8 is a doctor. For all x, if x_8 were a doctor, then x_8 is playing squash. Michael is a doctor. Therefore Michael is playing squash.
forall x: P(x) -> Q(x). forall x: Q(x) -> P(x). Q(a). Therefore P(a).