Translate the following inference to logic notation: For all x, x_7 will play a game. James is a police officer if and only if it is raining. For all x, if x_7 were a police officer, then x_7 is not playing a game. Therefore it is not raining.
forall x: P(x). Q(a) <-> p. forall x: Q(x) -> ~P(x). Therefore ~p.