Translate the following inference to logic notation: For all x, x_5 will play tennis if and only if x_5 is a taxi driver. For all x, x_5 is a carpenter. For all x, if x_5 were a carpenter, then x_5 is a taxi driver. Therefore for all x, x_5 will play tennis.
forall x: P(x) <-> Q(x). forall x: R(x). forall x: R(x) -> Q(x). Therefore forall x: P(x).