Consider the following premises. For all x_8, x_8 will play a game. For all x_8, x_8 will cook or x_8 is a server. For all x_8, x_8 will drive a car if and only if x_8 is a server. For all x_8, if x_8 cooks, then x_8 is driving a car. Can we infer the following from them? If we can, name the inference rule being used: For all x_8, x_8 will drive a car and x_8 will play a game.
 From the fact that for all x_8, x_8 will drive a car if and only if x_8 is a server we can infer that for all x_8, if x_8 were a server, then x_8 is driving a car via universal biconditional elimination. From the fact that for all x_8, if x_8 cooks, then x_8 is driving a car, that for all x_8, if x_8 were a server, then x_8 is driving a car, and that for all x_8, x_8 will cook or x_8 is a server we can infer that for all x_8, x_8 will drive a car via universal disjunction elimination. Finally, from the fact that for all x_8, x_8 will drive a car, and that for all x_8, x_8 will play a game we can infer that for all x_8, x_8 will drive a car and x_8 will play a game via universal conjunction. Therefore, the answer is yes.