Consider the following premises. For all x_9, if x_9 were excited, then x_9 is an electrician. There is at least one x_9 for which if x_9 were an electrician, then x_9 is rich. For all x_9, if x_9 were rich, then x_9 is an astronaut. For all x_9, if x_9 goes running, then x_9 is an electrician. For all x_9, x_9 will go running or x_9 is excited. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_9 for which x_9 is an astronaut.
 From the fact that for all x_9, if x_9 goes running, then x_9 is an electrician, that for all x_9, if x_9 were excited, then x_9 is an electrician, and that for all x_9, x_9 will go running or x_9 is excited we can infer that for all x_9, x_9 is an electrician via universal disjunction elimination. From the fact that there is at least one x_9 for which if x_9 were an electrician, then x_9 is rich, and that for all x_9, if x_9 were rich, then x_9 is an astronaut we can infer that there is at least one x_9 for which if x_9 were an electrician, then x_9 is an astronaut via existential transitivity. Finally, from the fact that there is at least one x_9 for which if x_9 were an electrician, then x_9 is an astronaut, and that for all x_9, x_9 is an electrician we can infer that there is at least one x_9 for which x_9 is an astronaut via existential modus ponens. Therefore, the answer is yes.