Translate the following inference to logic notation: For all x, if y drives a car, then y is writing a letter. Sarah is playing a game. For all x, if y writes a letter, then y is driving a car. Robert is not writing a letter. Therefore Sarah is playing a game.
forall x: P(x) -> Q(x). p. forall x: Q(x) -> P(x). ~Q(a). Therefore p.