Translate the following inference to logic notation: There is at least one x for which if x_13 were an artist, then x_13 is a bartender. For all x, x_13 is fast if and only if x_13 is an artist. For all x, x_13 is an artist if and only if x_13 is fast. Therefore there is at least one x for which if x_13 were fast, then x_13 is a bartender.
exists x: P(x) -> Q(x). forall x: R(x) <-> P(x). forall x: P(x) <-> R(x). Therefore exists x: R(x) -> Q(x).