Translate the following inference to logic notation: For all x, if x_5 were a politician, then x_5 is playing squash. There is at least one x for which if x_5 were a bartender, then x_5 is a politician. For all x, if x_5 plays squash, then x_5 is a politician. For all x, x_5 will play squash or x_5 is a bartender. Therefore there is at least one x for which x_5 is a politician.
forall x: P(x) -> Q(x). exists x: R(x) -> P(x). forall x: Q(x) -> P(x). forall x: Q(x) or R(x). Therefore exists x: P(x).