Translate the following inference to logic notation: For all x, x_1 is a police officer. For all x, if x_1 were a police officer, then x_1 is playing a game. For all x, if x_1 plays a game, then x_1 is an electrician. Therefore for all x, x_1 is an electrician.
forall x: P(x). forall x: P(x) -> Q(x). forall x: Q(x) -> R(x). Therefore forall x: R(x).