Translate the following inference to logic notation: For all x, if x_1 were a nurse, then x_1 is a politician. For all x, if x_1 were poor, then x_1 is a nurse. For all x, if x_1 cooks, then x_1 is poor. Therefore for all x, if x_1 cooks, then x_1 is a politician.
forall x: P(x) -> Q(x). forall x: R(x) -> P(x). forall x: S(x) -> R(x). Therefore forall x: S(x) -> Q(x).