Translate the following inference to logic notation: For all x, if x_10 were a politician, then x_10 is a mechanic. For all x, x_10 is not a mechanic. For all x, if x_10 were a police officer, then x_10 is a politician. For all x, x_10 is a police officer or x_10 is not a politician. Therefore for all x, x_10 is not a police officer.
forall x: P(x) -> Q(x). forall x: ~Q(x). forall x: R(x) -> P(x). forall x: R(x) or ~P(x). Therefore forall x: ~R(x).