Translate the following inference to logic notation: For all x, if x_10 were a scientist, then x_10 is a nurse. For all x, x_10 is a nurse if and only if x_10 is a doctor. For all x, if x_10 were a nurse, then x_10 is a scientist. For all x, x_10 is not a doctor. For all x, if x_10 were a nurse, then x_10 is a scientist. Therefore for all x, x_10 is not a scientist.
forall x: P(x) -> Q(x). forall x: Q(x) <-> R(x). forall x: Q(x) -> P(x). forall x: ~R(x). forall x: Q(x) -> P(x). Therefore forall x: ~P(x).