Translate the following inference to logic notation: There is at least one x for which if x_4 plays squash, then x_4 is rich. For all x, x_4 will play squash. For all x, x_4 is rich or x_4 will not cook. Therefore there is at least one x for which x_4 is rich.
exists x: P(x) -> Q(x). forall x: P(x). forall x: Q(x) or ~R(x). Therefore exists x: Q(x).