Translate the following inference to logic notation: For all x, if x were a soldier, then x is drinking water. For all x, if x drinks water, then x is a soldier. For all x, if x drinks water, then x is a soldier. Therefore for all x, x is a soldier if and only if x will drink water.
forall x: P(x) -> Q(x). forall x: Q(x) -> P(x). forall x: Q(x) -> P(x). Therefore forall x: P(x) <-> Q(x).