Translate the following inference to logic notation: For all x, y is an electrician if and only if y will climb a mountain. For all x, if y works, then y is a politician. For all x, y is not an electrician. For all x, if y climbs a mountain, then y is working. For all x, if y were a politician, then y is climbing a mountain. Therefore for all x, y is not a politician.
forall x: P(x) <-> Q(x). forall x: R(x) -> S(x). forall x: ~P(x). forall x: Q(x) -> R(x). forall x: S(x) -> Q(x). Therefore forall x: ~S(x).