Translate the following inference to logic notation: For all x, x_5 is an artist if and only if x_5 will climb a mountain. For all x, if x_5 were a nurse, then x_5 is making tea. For all x, if x_5 makes tea, then x_5 is climbing a mountain. For all x, x_5 is not an artist. Therefore for all x, x_5 is not a nurse.
forall x: P(x) <-> Q(x). forall x: R(x) -> S(x). forall x: S(x) -> Q(x). forall x: ~P(x). Therefore forall x: ~R(x).