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