Translate the following inference to logic notation: There is at least one x for which if x_9 were a scientist, then x_9 is a politician. For all x, if x_9 plays tennis, then x_9 is driving a car. For all x, x_9 is a politician if and only if x_9 will drive a car. For all x, x_9 will play tennis. Therefore there is at least one x for which x_9 is a politician.
exists x: P(x) -> Q(x). forall x: R(x) -> S(x). forall x: Q(x) <-> S(x). forall x: R(x). Therefore exists x: Q(x).