Consider the following premises. For all x, if x reads a book, then x is a poet. For all x, x will drive a car or x is not a poet. For all x, if x drives a car, then x is reading a book. Can we infer the following from them? If we can, name the inference rule being used: For all x, if x were a poet, then x is driving a car.
 From the fact that for all x, if x drives a car, then x is reading a book, and that for all x, if x reads a book, then x is a poet we can infer that for all x, if x drives a car, then x is a poet via universal transitivity. Finally, from the fact that for all x, x will drive a car or x is not a poet we can infer that for all x, if x were a poet, then x is driving a car via universal rewriting. Therefore, the answer is yes.