Consider the following premises. For all x_6, if x_6 were a scientist, then x_6 is cooking. For all x_6, if x_6 were an electrician, then x_6 is driving a car. For all x_6, if x_6 drives a car, then x_6 is reading a book. There is at least one x_6 for which if x_6 cooks, then x_6 is an electrician. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_6 for which if x_6 were a scientist, then x_6 is reading a book.
 From the fact that for all x_6, if x_6 were an electrician, then x_6 is driving a car, and that for all x_6, if x_6 drives a car, then x_6 is reading a book we can infer that for all x_6, if x_6 were an electrician, then x_6 is reading a book via universal transitivity. From the fact that for all x_6, if x_6 were a scientist, then x_6 is cooking, and that there is at least one x_6 for which if x_6 cooks, then x_6 is an electrician we can infer that there is at least one x_6 for which if x_6 were a scientist, then x_6 is an electrician via existential transitivity. Finally, from the fact that there is at least one x_6 for which if x_6 were a scientist, then x_6 is an electrician, and that for all x_6, if x_6 were an electrician, then x_6 is reading a book we can infer that there is at least one x_6 for which if x_6 were a scientist, then x_6 is reading a book via existential transitivity. Therefore, the answer is yes.