Translate the following inference to logic notation: For all x, if x_7 were a carpenter, then x_7 is a nurse. For all x, if x_7 were a nurse, then x_7 is a carpenter. For all x, if x_7 were a cashier, then x_7 is a nurse. For all x, x_7 is a carpenter. Therefore for all x, x_7 is a nurse.
forall x: P(x) -> Q(x). forall x: Q(x) -> P(x). forall x: R(x) -> Q(x). forall x: P(x). Therefore forall x: Q(x).