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