Translate the following inference to logic notation: For all x, x_4 will make tea if and only if x_4 will drink water. There is at least one x for which x_4 is a politician or x_4 will not drink water. Therefore there is at least one x for which if x_4 makes tea, then x_4 is a politician.
forall x: P(x) <-> Q(x). exists x: R(x) or ~Q(x). Therefore exists x: P(x) -> R(x).