Translate the following inference to logic notation: For all x, if z plays squash, then z is making tea. For all x, z will play squash or z will not make tea. Therefore for all x, z will make tea if and only if z will play squash.
forall x: P(x) -> Q(x). forall x: P(x) or ~Q(x). Therefore forall x: Q(x) <-> P(x).