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