Translate the following inference to logic notation: For all x, y is a bartender if and only if y is a lawyer. For all x, y is a bartender or y is not a lawyer. For all x, y is not a lawyer. Therefore for all x, y is not a bartender.
forall x: P(x) <-> Q(x). forall x: P(x) or ~Q(x). forall x: ~Q(x). Therefore forall x: ~P(x).