Translate the following inference to logic notation: There is at least one x for which if x_3 were an astronaut, then x_3 is a nurse. For all x, if x_3 were a nurse, then x_3 is an electrician. For all x, if x_3 were an electrician, then x_3 is an astronaut. Therefore there is at least one x for which if x_3 were an astronaut, then x_3 is a nurse.
exists x: P(x) -> Q(x). forall x: Q(x) -> R(x). forall x: R(x) -> P(x). Therefore exists x: P(x) -> Q(x).