Translate the following inference to logic notation: For all x, z is a musician if and only if z will drive a car. There is at least one x for which z is a musician if and only if z will drive a car. Therefore there is at least one x for which z is a musician if and only if z will drive a car.
forall x: P(x) <-> Q(x). exists x: P(x) <-> Q(x). Therefore exists x: P(x) <-> Q(x).