Translate the following inference to logic notation: There is at least one x for which if x_7 plays tennis, then x_7 is listening to a song. For all x, x_7 is not a lawyer. For all x, x_7 will listen to a song if and only if x_7 is a lawyer. Therefore there is at least one x for which x_7 will not play tennis.
exists x: P(x) -> Q(x). forall x: ~R(x). forall x: Q(x) <-> R(x). Therefore exists x: ~P(x).