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