Translate the following inference to logic notation: For all x, if y drinks water, then y is climbing a mountain. For all x, if y were a nurse, then y is drinking water. For all x, y is a nurse or y will not climb a mountain. Therefore for all x, if y drinks water, then y is a nurse.
forall x: P(x) -> Q(x). forall x: R(x) -> P(x). forall x: R(x) or ~Q(x). Therefore forall x: P(x) -> R(x).