Translate the following inference to logic notation: For all x, if x_7 were a carpenter, then x_7 is taking a plane. For all x, x_7 is a mechanic and x_7 will work. For all x, if x_7 were a mechanic, then x_7 is a carpenter. Therefore for all x, x_7 will take a plane.
forall x: P(x) -> Q(x). forall x: R(x) and S(x). forall x: R(x) -> P(x). Therefore forall x: Q(x).