Translate the following inference to logic notation: For all x, x is a carpenter or x is not a cashier. For all x, if x were a carpenter, then x is driving a car. Therefore for all x, if x were a cashier, then x is driving a car.
forall x: P(x) or ~Q(x). forall x: P(x) -> R(x). Therefore forall x: Q(x) -> R(x).