Translate the following inference to logic notation: For all x, x_14 is poor. There is at least one x for which x_14 is excited if and only if x_14 is poor. Therefore there is at least one x for which x_14 is excited or x_14 is an electrician.
forall x: P(x). exists x: Q(x) <-> P(x). Therefore exists x: Q(x) or R(x).