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