Translate the following inference to logic notation: There is at least one x for which x_1 will work. For all x, if x_1 works, then x_1 is a lawyer. For all x, if x_1 were a lawyer, then x_1 is a taxi driver. Therefore there is at least one x for which x_1 is a taxi driver.
exists x: P(x). forall x: P(x) -> Q(x). forall x: Q(x) -> R(x). Therefore exists x: R(x).