Translate the following inference to logic notation: For all x, z is not a nurse. For all x, z is a nurse if and only if z will make tea. For all x, if z were a musician, then z is making tea. For all x, if z makes tea, then z is a musician. Therefore for all x, z is not a musician.
forall x: ~P(x). forall x: P(x) <-> Q(x). forall x: R(x) -> Q(x). forall x: Q(x) -> R(x). Therefore forall x: ~R(x).