Translate the following inference to logic notation: There is at least one x for which x_5 is a politician. For all x, if x_5 takes a plane, then x_5 is rich. For all x, x_5 is rich or x_5 is not a politician. Therefore there is at least one x for which x_5 is rich.
exists x: P(x). forall x: Q(x) -> R(x). forall x: R(x) or ~P(x). Therefore exists x: R(x).