Translate the following inference to logic notation: For all x, y will make tea if and only if y will climb a mountain. For all x, y will make tea if and only if y will climb a mountain. Richard is not making tea. Therefore Richard is not climbing a mountain.
forall x: P(x) <-> Q(x). forall x: P(x) <-> Q(x). ~P(a). Therefore ~Q(a).