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