Translate the following inference to logic notation: For all x, if x_10 were excited, then x_10 is a soldier. For all x, x_10 will play a game. For all x, x_10 is a soldier if and only if x_10 will play a game. For all x, if x_10 plays a game, then x_10 is a soldier. Therefore for all x, x_10 is a soldier.
forall x: P(x) -> Q(x). forall x: R(x). forall x: Q(x) <-> R(x). forall x: R(x) -> Q(x). Therefore forall x: Q(x).