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