Translate the following inference to logic notation: For all x, x_5 is bored if and only if x_5 is a janitor. For all x, if x_5 were a politician, then x_5 is bored. For all x, x_5 is a politician. Therefore for all x, x_5 is a janitor.
forall x: P(x) <-> Q(x). forall x: R(x) -> P(x). forall x: R(x). Therefore forall x: Q(x).