Translate the following inference to logic notation: James is not listening to a song. For all x, x_7 will listen to a song if and only if x_7 is a mechanic. For all x, if x_7 listens to a song, then x_7 is a mechanic. Therefore James is not a mechanic.
~P(a). forall x: P(x) <-> Q(x). forall x: P(x) -> Q(x). Therefore ~Q(a).