Consider the following premises. For all z, z is sad and z will drink water. There is at least one z for which z will listen to a song. Can we infer the following from them? There is at least one z for which z is sad.
 From the fact that for all z, z is sad and z will drink water we can infer that for all z, z is sad. From the fact that there is at least one z for which z will listen to a song, and that for all z, z is sad we can infer that there is at least one z for which z will listen to a song and z is sad. Finally, from the fact that there is at least one z for which z will listen to a song and z is sad we can infer that there is at least one z for which z is sad. Therefore, the answer is yes.