Consider the following premises. For all x_8, if x_8 were a janitor, then x_8 is an astronaut. Richard is rich. If Barbara were an astronaut, then Richard is not rich. For all x_8, if x_8 were an astronaut, then x_8 is a janitor. Can we infer the following from them? If we can, name the inference rule being used: Richard is rich.
That is one of the premises. Therefore, the answer is yes.