Translate the following inference to logic notation: For all x, if z were a nurse, then z is a scientist. For all x, if z were a scientist, then z is a nurse. For all x, z is a scientist or z is not a nurse. Therefore for all x, if z were a scientist, then z is a nurse.
forall x: P(x) -> Q(x). forall x: Q(x) -> P(x). forall x: Q(x) or ~P(x). Therefore forall x: Q(x) -> P(x).