Translate the following inference to logic notation: For all x, x is a politician if and only if x will drive a car. For all x, if x were a politician, then x is making tea. For all x, if x makes tea, then x is driving a car. Therefore for all x, x is a politician if and only if x will drive a car.
forall x: P(x) <-> Q(x). forall x: P(x) -> R(x). forall x: R(x) -> Q(x). Therefore forall x: P(x) <-> Q(x).