Translate the following inference to logic notation: There is at least one x for which x_6 is a soldier and x_6 will work. For all x, x_6 will play a game. Therefore there is at least one x for which x_6 will play a game and x_6 is a soldier.
exists x: P(x) and Q(x). forall x: R(x). Therefore exists x: R(x) and P(x).