Translate the following inference to logic notation: For all x, if x drives a car, then x is a scientist. For all x, if x drives a car, then x is a scientist. For all x, if x were a scientist, then x is driving a car. Therefore if Richard drives a car, then Richard is a scientist.
forall x: P(x) -> Q(x). forall x: P(x) -> Q(x). forall x: Q(x) -> P(x). Therefore P(a) -> Q(a).