Consider the following premises. For all x_5, if x_5 were poor, then x_5 is climbing a mountain. For all x_5, if x_5 works, then x_5 is poor. For all x_5, if x_5 climbs a mountain, then x_5 is excited. For all x_5, if x_5 were an electrician, then x_5 is working. Can we infer the following from them? If we can, name the inference rule being used: For all x_5, if x_5 were an electrician, then x_5 is excited.
 From the fact that for all x_5, if x_5 were an electrician, then x_5 is working, and that for all x_5, if x_5 works, then x_5 is poor we can infer that for all x_5, if x_5 were an electrician, then x_5 is poor via universal transitivity. From the fact that for all x_5, if x_5 were poor, then x_5 is climbing a mountain, and that for all x_5, if x_5 climbs a mountain, then x_5 is excited we can infer that for all x_5, if x_5 were poor, then x_5 is excited via universal transitivity. Finally, from the fact that for all x_5, if x_5 were an electrician, then x_5 is poor, and that for all x_5, if x_5 were poor, then x_5 is excited we can infer that for all x_5, if x_5 were an electrician, then x_5 is excited via universal transitivity. Therefore, the answer is yes.