Translate the following inference to logic notation: For all x, x_3 is a lawyer. For all x, if x_3 were poor, then x_3 is a politician. There is at least one x for which x_3 is poor. Therefore there is at least one x for which x_3 is a politician and x_3 is a lawyer.
forall x: P(x). forall x: Q(x) -> R(x). exists x: Q(x). Therefore exists x: R(x) and P(x).