Consider the following premises. For all x_7, x_7 will read a book and x_7 will play tennis. There is at least one x_7 for which x_7 will play a game or x_7 will not read a book. Can we infer the following from them? For all x_7, x_7 will not play a game.
 From the fact that there is at least one x_7 for which x_7 will play a game or x_7 will not read a book we can infer that there is at least one x_7 for which if x_7 reads a book, then x_7 is playing a game. From the fact that for all x_7, x_7 will read a book and x_7 will play tennis we can infer that for all x_7, x_7 will read a book. Finally, from the fact that there is at least one x_7 for which if x_7 reads a book, then x_7 is playing a game, and that for all x_7, x_7 will read a book we can infer that there is at least one x_7 for which x_7 will play a game, which contradicts that For all x_7, x_7 will not play a game. Therefore, the answer is no.