Translate the following inference to logic notation: For all x, y_2 is a mechanic if and only if y_2 is a soldier. For all x, y_2 is excited. For all x, y_2 is a mechanic. Therefore for all x, y_2 is a soldier.
forall x: P(x) <-> Q(x). forall x: R(x). forall x: P(x). Therefore forall x: Q(x).