Consider the following premises. For all x_2, if x_2 drives a car, then x_2 is a musician. For all x_2, x_2 will read a book. For all x_2, if x_2 drives a car, then x_2 is not reading a book. For all x_2, if x_2 were a musician, then x_2 is driving a car. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_2 for which x_2 is a musician.
 From the fact that for all x_2, if x_2 were a musician, then x_2 is driving a car, and that for all x_2, if x_2 drives a car, then x_2 is a musician we can infer that for all x_2, x_2 is a musician if and only if x_2 will drive a car via universal biconditional introduction. From the fact that for all x_2, if x_2 drives a car, then x_2 is not reading a book, and that for all x_2, x_2 will read a book we can infer that for all x_2, x_2 will not drive a car via universal modus tollens. Finally, from the fact that for all x_2, x_2 is a musician if and only if x_2 will drive a car, and that for all x_2, x_2 will not drive a car we can infer that for all x_2, x_2 is not a musician via universal biconditional elimination, which contradicts that There is at least one x_2 for which x_2 is a musician. Therefore, the answer is no.