Translate the following inference to logic notation: There is at least one x for which if x_3 were a nurse, then x_3 is excited. For all x, x_3 is a nurse. For all x, x_3 is not excited. Therefore there is at least one x for which x_3 will play tennis.
exists x: P(x) -> Q(x). forall x: P(x). forall x: ~Q(x). Therefore exists x: R(x).