Translate the following inference to logic notation: For all x, x_8 will cook. For all x, x_8 is a lawyer if and only if x_8 will play tennis. For all x, if x_8 plays tennis, then x_8 is not cooking. For all x, if x_8 plays tennis, then x_8 is a lawyer. Therefore for all x, x_8 is not a lawyer.
forall x: P(x). forall x: Q(x) <-> R(x). forall x: R(x) -> ~P(x). forall x: R(x) -> Q(x). Therefore forall x: ~Q(x).