Translate the following inference to logic notation: There is at least one x for which if z were a cashier, then z is an artist. For all x, z is an artist if and only if z is a cashier. Therefore there is at least one x for which if z were a cashier, then z is an artist.
exists x: P(x) -> Q(x). forall x: Q(x) <-> P(x). Therefore exists x: P(x) -> Q(x).