Translate the following inference to logic notation: For all x, if x_4 makes tea, then x_4 is playing squash. For all x, if x_4 plays squash, then x_4 is a doctor. For all x, if x_4 were a doctor, then x_4 is making tea. Therefore if Joseph were a doctor, then Joseph is playing squash.
forall x: P(x) -> Q(x). forall x: Q(x) -> R(x). forall x: R(x) -> P(x). Therefore R(a) -> Q(a).