Consider the following premises. There is at least one z for which z will go running or z will not drive a car. For all z, z will drive a car if and only if z will go running. Can we infer the following from them? If we can, name the inference rule being used: For all z, the fact that z drives a car does not imply that z is running.
 From the fact that there is at least one z for which z will go running or z will not drive a car we can infer that there is at least one z for which if z drives a car, then z is running via existential rewriting. Finally, from the fact that for all z, z will drive a car if and only if z will go running we can infer that for all z, if z goes running, then z is driving a car via universal biconditional elimination, which contradicts that For all z, the fact that z drives a car does not imply that z is running. Therefore, the answer is no.