Translate the following inference to logic notation: For all x, z is a poet if and only if z is a sailor. For all x, z is a poet. There is at least one x for which z is a musician. For all x, if z were a musician, then z is making tea. Therefore there is at least one x for which z is a sailor and z will make tea.
forall x: P(x) <-> Q(x). forall x: P(x). exists x: R(x). forall x: R(x) -> S(x). Therefore exists x: Q(x) and S(x).