Translate the following inference to logic notation: For all x, y is an electrician or y will not play squash. For all x, y will play squash or y is a soldier. There is at least one x for which y is an electrician if and only if y is a soldier. Therefore there is at least one x for which y is an electrician.
forall x: P(x) or ~Q(x). forall x: Q(x) or R(x). exists x: P(x) <-> R(x). Therefore exists x: P(x).