Translate the following inference to logic notation: For all x, x_3 is a lawyer if and only if x_3 will listen to a song. For all x, x_3 will listen to a song if and only if x_3 will play squash. For all x, x_3 is not a lawyer. Therefore for all x, x_3 will not play squash.
forall x: P(x) <-> Q(x). forall x: Q(x) <-> R(x). forall x: ~P(x). Therefore forall x: ~R(x).