Translate the following inference to logic notation: For all x, y will drink water. For all x, y is an astronaut. For all x, y is excited and y will play tennis. Therefore for all x, y is excited and y will drink water.
forall x: P(x). forall x: Q(x). forall x: R(x) and S(x). Therefore forall x: R(x) and P(x).