Translate the following inference to logic notation: For all x, if x_8 were a lawyer, then x_8 is cooking. For all x, if x_8 cooks, then x_8 is a sailor. For all x, x_8 will cook if and only if x_8 is a lawyer. Therefore for all x, if x_8 were a lawyer, then x_8 is a sailor.
forall x: P(x) -> Q(x). forall x: Q(x) -> R(x). forall x: Q(x) <-> P(x). Therefore forall x: P(x) -> R(x).