Translate the following inference to logic notation: For all x, x_1 is a nurse if and only if x_1 is poor. For all x, x_1 is not a server. For all x, if x_1 were a nurse, then x_1 is a server. Therefore for all x, x_1 is not poor.
forall x: P(x) <-> Q(x). forall x: ~R(x). forall x: P(x) -> R(x). Therefore forall x: ~Q(x).