Translate the following inference to logic notation: For all x, x_5 will not play tennis. For all x, if x_5 were rich, then x_5 is not a police officer. For all x, x_5 will play tennis. Therefore for all x, x_5 is not rich.
forall x: ~P(x). forall x: Q(x) -> ~R(x). forall x: P(x). Therefore forall x: ~Q(x).