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