Translate the following inference to logic notation: For all x, x_2 will make tea if and only if x_2 is a politician. For all x, if x_2 climbs a mountain, then x_2 is making tea. For all x, if x_2 were a politician, then x_2 is climbing a mountain. Therefore for all x, if x_2 makes tea, then x_2 is a politician.
forall x: P(x) <-> Q(x). forall x: R(x) -> P(x). forall x: Q(x) -> R(x). Therefore forall x: P(x) -> Q(x).