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