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