Translate the following inference to logic notation: There is at least one x for which if x were a police officer, then x is taking a plane. For all x, if x takes a plane, then x is a police officer. For all x, if x were a police officer, then x is an office clerk. Therefore there is at least one x for which if x takes a plane, then x is an office clerk.
exists x: P(x) -> Q(x). forall x: Q(x) -> P(x). forall x: P(x) -> R(x). Therefore exists x: Q(x) -> R(x).