Translate the following inference to logic notation: For all x, x_14 is excited or x_14 is not a poet. For all x, x_14 will cook or x_14 is not excited. For all x, x_14 is a poet or x_14 will not cook. Therefore for all x, x_14 is excited if and only if x_14 is a poet.
forall x: P(x) or ~Q(x). forall x: R(x) or ~P(x). forall x: Q(x) or ~R(x). Therefore forall x: P(x) <-> Q(x).