Translate the following inference to logic notation: There is at least one x for which if x listens to a song, then x is an electrician. For all x, x will listen to a song or x is not an electrician. Therefore there is at least one x for which if x listens to a song, then x is an electrician.
exists x: P(x) -> Q(x). forall x: P(x) or ~Q(x). Therefore exists x: P(x) -> Q(x).