Translate the following inference to logic notation: For all x, x_5 is a writer if and only if x_5 is poor. For all x, if x_5 were a politician, then x_5 is a lawyer. For all x, x_5 is a writer if and only if x_5 is a politician. For all x, x_5 is not a lawyer. Therefore for all x, x_5 is not poor.
forall x: P(x) <-> Q(x). forall x: R(x) -> S(x). forall x: P(x) <-> R(x). forall x: ~S(x). Therefore forall x: ~Q(x).