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