Translate the following inference to logic notation: For all x, x_8 is poor. For all x, x_8 will go running. For all x, x_8 is a lawyer if and only if x_8 is poor. Therefore for all x, x_8 is a lawyer and x_8 will go running.
forall x: P(x). forall x: Q(x). forall x: R(x) <-> P(x). Therefore forall x: R(x) and Q(x).