Translate the following inference to logic notation: For all x, if x_7 were a musician, then x_7 is a police officer. For all x, if x_7 were a musician, then x_7 is not happy. For all x, x_7 is a police officer if and only if x_7 is a musician. For all x, x_7 is happy. Therefore for all x, x_7 is not a police officer.
forall x: P(x) -> Q(x). forall x: P(x) -> ~R(x). forall x: Q(x) <-> P(x). forall x: R(x). Therefore forall x: ~Q(x).