Consider the following premises. For all x_6, x_6 is a writer if and only if x_6 will listen to a song. For all x_6, x_6 will play tennis if and only if x_6 will listen to a song. There is at least one x_6 for which x_6 is not a writer. Can we infer the following from them? There is at least one x_6 for which x_6 will not play tennis.
 From the fact that for all x_6, x_6 is a writer if and only if x_6 will listen to a song, and that there is at least one x_6 for which x_6 is not a writer we can infer that there is at least one x_6 for which x_6 will not listen to a song. Finally, from the fact that for all x_6, x_6 will play tennis if and only if x_6 will listen to a song, and that there is at least one x_6 for which x_6 will not listen to a song we can infer that there is at least one x_6 for which x_6 will not play tennis. Therefore, the answer is yes.