Translate the following inference to logic notation: There is at least one x for which z_2 is a politician if and only if z_2 will drive a car. For all x, if z_2 were a politician, then z_2 is driving a car. Therefore there is at least one x for which if z_2 were a politician, then z_2 is driving a car.
exists x: P(x) <-> Q(x). forall x: P(x) -> Q(x). Therefore exists x: P(x) -> Q(x).