Consider the following premises. For all x_5, x_5 will play a game. For all x_5, x_5 will read a book. There is at least one x_5 for which x_5 is curious. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_5 for which x_5 is curious and x_5 will play a game.
 From the fact that for all x_5, x_5 will play a game, and that for all x_5, x_5 will read a book we can infer that for all x_5, x_5 will play a game and x_5 will read a book via universal conjunction. From the fact that for all x_5, x_5 will play a game and x_5 will read a book we can infer that for all x_5, x_5 will play a game via universal simplification. Finally, from the fact that there is at least one x_5 for which x_5 is curious, and that for all x_5, x_5 will play a game we can infer that there is at least one x_5 for which x_5 is curious and x_5 will play a game via existential conjunction. Therefore, the answer is yes.