Translate the following inference to logic notation: For all x, if z_4 were happy, then z_4 is cooking. For all x, if z_4 plays a game, then z_4 is happy. Therefore for all x, if z_4 plays a game, then z_4 is cooking.
forall x: P(x) -> Q(x). forall x: R(x) -> P(x). Therefore forall x: R(x) -> Q(x).