Translate the following inference to logic notation: For all x, x_11 is a politician if and only if x_11 will cook. For all x, if x_11 were an office clerk, then x_11 is cooking. For all x, if x_11 were a politician, then x_11 is an office clerk. Therefore if James were a politician, then James is an office clerk.
forall x: P(x) <-> Q(x). forall x: R(x) -> Q(x). forall x: P(x) -> R(x). Therefore P(a) -> R(a).