Consider the following premises. For all x_5, if x_5 works, then x_5 is driving a car. For all x_5, x_5 will work. For all x_5, if x_5 plays a game, then x_5 is driving a car. Can we infer the following from them? If we can, name the inference rule being used: For all x_5, x_5 will drive a car or x_5 is an artist.
 From the fact that for all x_5, x_5 will work we can infer that for all x_5, x_5 will work or x_5 will play a game via universal addition. From the fact that for all x_5, if x_5 works, then x_5 is driving a car, that for all x_5, if x_5 plays a game, then x_5 is driving a car, and that for all x_5, x_5 will work or x_5 will play a game we can infer that for all x_5, x_5 will drive a car via universal disjunction elimination. Finally, from the fact that for all x_5, x_5 will drive a car we can infer that for all x_5, x_5 will drive a car or x_5 is an artist via universal addition. Therefore, the answer is yes.