Translate the following inference to logic notation: For all x, if x_10 were a scientist, then x_10 is driving a car. For all x, if x_10 were a scientist, then x_10 is a politician. For all x, x_10 will not drive a car. There is at least one x for which x_10 is a politician if and only if x_10 is a scientist. Therefore there is at least one x for which x_10 is not a politician.
forall x: P(x) -> Q(x). forall x: P(x) -> R(x). forall x: ~Q(x). exists x: R(x) <-> P(x). Therefore exists x: ~R(x).