Translate the following inference to logic notation: For all x, x_11 is a politician if and only if x_11 is poor. For all x, if x_11 were a doctor, then x_11 is a politician. For all x, x_11 is not a police officer. For all x, x_11 is a police officer if and only if x_11 is poor. For all x, if x_11 were a scientist, then x_11 is a doctor. Therefore for all x, x_11 is not a scientist.
forall x: P(x) <-> Q(x). forall x: R(x) -> P(x). forall x: ~S(x). forall x: S(x) <-> Q(x). forall x: T(x) -> R(x). Therefore forall x: ~T(x).