Consider the following premises. For all x_12, if x_12 goes running, then x_12 is driving a car. If Thomas drives a car, then Thomas is running. Thomas is not driving a car. Can we infer the following from them? If we can, name the inference rule being used: Thomas is not running.
 From the fact that for all x_12, if x_12 goes running, then x_12 is driving a car we can infer that if Thomas goes running, then Thomas is driving a car via universal instantiation. From the fact that if Thomas goes running, then Thomas is driving a car, and that if Thomas drives a car, then Thomas is running we can infer that Thomas is running if and only if Thomas is driving a car via biconditional introduction. From the fact that Thomas is running if and only if Thomas is driving a car we can infer that if Thomas goes running, then Thomas is driving a car via biconditional elimination. Finally, from the fact that if Thomas goes running, then Thomas is driving a car, and that Thomas is not driving a car we can infer that Thomas is not running via modus tollens. Therefore, the answer is yes.