Translate the following inference to logic notation: For all x, if x_8 were excited, then x_8 is a musician. For all x, if x_8 were an electrician, then x_8 is happy. There is at least one x for which if x_8 were happy, then x_8 is excited. For all x, if x_8 were a musician, then x_8 is an electrician. Therefore there is at least one x for which if x_8 were an electrician, then x_8 is excited.
forall x: P(x) -> Q(x). forall x: R(x) -> S(x). exists x: S(x) -> P(x). forall x: Q(x) -> R(x). Therefore exists x: R(x) -> P(x).