Translate the following inference to logic notation: For all x, x_5 will drink water if and only if x_5 will work. For all x, x_5 will not drink water. For all x, x_5 will work. Therefore for all x, x_5 is happy.
forall x: P(x) <-> Q(x). forall x: ~P(x). forall x: Q(x). Therefore forall x: R(x).