Translate the following inference to logic notation: For all x, if y_1 were an artist, then y_1 is driving a car. For all x, if y_1 drives a car, then y_1 is an artist. Therefore for all x, y_1 will drive a car if and only if y_1 is an artist.
forall x: P(x) -> Q(x). forall x: Q(x) -> P(x). Therefore forall x: Q(x) <-> P(x).