Consider the following premises. For all x_8, if x_8 drinks water, then x_8 is not bored. For all x_8, x_8 will drink water or x_8 is not an electrician. There is at least one x_8 for which x_8 is bored. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_8 for which x_8 is not an electrician.
 From the fact that for all x_8, if x_8 drinks water, then x_8 is not bored, and that there is at least one x_8 for which x_8 is bored we can infer that there is at least one x_8 for which x_8 will not drink water via existential modus tollens. From the fact that for all x_8, x_8 will drink water or x_8 is not an electrician we can infer that for all x_8, if x_8 were an electrician, then x_8 is drinking water via universal rewriting. Finally, from the fact that for all x_8, if x_8 were an electrician, then x_8 is drinking water, and that there is at least one x_8 for which x_8 will not drink water we can infer that there is at least one x_8 for which x_8 is not an electrician via existential modus tollens. Therefore, the answer is yes.