Consider the following premises. For all y, if y drives a car, then y is playing a game. For all x_10, if x_10 works, then x_10 is driving a car. For all x_10, if x_10 cooks, then x_10 is driving a car. For all x_10, x_10 will cook or x_10 will work. Can we infer the following from them? If we can, name the inference rule being used: Jennifer is playing a game.
 From the fact that for all x_10, if x_10 cooks, then x_10 is driving a car, that for all x_10, if x_10 works, then x_10 is driving a car, and that for all x_10, x_10 will cook or x_10 will work we can infer that for all x_10, x_10 will drive a car via universal disjunction elimination. From the fact that for all x_10, x_10 will drive a car we can infer that Jennifer is driving a car via universal instantiation. From the fact that for all y, if y drives a car, then y is playing a game we can infer that if Jennifer drives a car, then Jennifer is playing a game via universal instantiation. Finally, from the fact that if Jennifer drives a car, then Jennifer is playing a game, and that Jennifer is driving a car we can infer that Jennifer is playing a game via modus ponens. Therefore, the answer is yes.