Translate the following inference to logic notation: For all x, if y were a nurse, then y is a taxi driver. For all x, y is a taxi driver if and only if y is a poet. For all x, if y were a poet, then y is a nurse. Therefore for all x, y is a taxi driver if and only if y is a poet.
forall x: P(x) -> Q(x). forall x: Q(x) <-> R(x). forall x: R(x) -> P(x). Therefore forall x: Q(x) <-> R(x).