Translate the following inference to logic notation: For all x, if y were fast, then y is a taxi driver. For all x, y will play a game. For all x, y is fast and y is happy. Therefore for all x, y will play a game and y is a taxi driver.
forall x: P(x) -> Q(x). forall x: R(x). forall x: P(x) and S(x). Therefore forall x: R(x) and Q(x).