Consider the following premises. For all x_7, x_7 is an artist or x_7 will play squash. For all x_7, x_7 will play a game if and only if x_7 will play squash. There is at least one x_7 for which x_7 will play a game or x_7 is not an artist. Can we infer the following from them? There is at least one x_7 for which x_7 will 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 is not an artist we can infer that there is at least one x_7 for which if x_7 were an artist, then x_7 is playing a game. From the fact that for all x_7, x_7 will play a game if and only if x_7 will play squash we can infer that for all x_7, if x_7 plays squash, then x_7 is playing a game. Finally, from the fact that there is at least one x_7 for which if x_7 were an artist, then x_7 is playing a game, that for all x_7, if x_7 plays squash, then x_7 is playing a game, and that for all x_7, x_7 is an artist or x_7 will play squash we can infer that there is at least one x_7 for which x_7 will play a game. Therefore, the answer is yes.