Translate the following inference to logic notation: For all x, if x_8 drives a car, then x_8 is fast. For all x, x_8 will drive a car and x_8 will sleep. For all x, if x_8 were fast, then x_8 is driving a car. Therefore for all x, x_8 is fast.
forall x: P(x) -> Q(x). forall x: P(x) and R(x). forall x: Q(x) -> P(x). Therefore forall x: Q(x).