Translate the following inference to logic notation: For all x, if x were a taxi driver, then x is a nurse. For all x, if x were a nurse, then x is a taxi driver. For all x, x will drink water if and only if x is a nurse. For all x, x is not a taxi driver. Therefore for all x, x will not drink water.
forall x: P(x) -> Q(x). forall x: Q(x) -> P(x). forall x: R(x) <-> Q(x). forall x: ~P(x). Therefore forall x: ~R(x).