Translate the following inference to logic notation: For all x, y is a musician if and only if y is an artist. For all x, y is an artist if and only if y is a musician. Therefore for all x, if y were an artist, then y is a musician.
forall x: P(x) <-> Q(x). forall x: Q(x) <-> P(x). Therefore forall x: Q(x) -> P(x).