Translate the following inference to logic notation: For all x, if x_5 climbs a mountain, then x_5 is drinking water. For all x, if x_5 drinks water, then x_5 is an electrician. For all x, x_5 is rich if and only if x_5 will climb a mountain. Therefore for all x, if x_5 were rich, then x_5 is an electrician.
forall x: P(x) -> Q(x). forall x: Q(x) -> R(x). forall x: S(x) <-> P(x). Therefore forall x: S(x) -> R(x).