Consider the following premises. For all z, if z were a doctor, then z is listening to a song. For all z, if z takes a plane, then z is cooking. There is at least one z for which if z were sad, then z is a doctor. For all z, if z cooks, then z is sad. Can we infer the following from them? There is at least one z for which if z takes a plane, then z is listening to a song.
 From the fact that for all z, if z takes a plane, then z is cooking, and that for all z, if z cooks, then z is sad we can infer that for all z, if z takes a plane, then z is sad. From the fact that there is at least one z for which if z were sad, then z is a doctor, and that for all z, if z were a doctor, then z is listening to a song we can infer that there is at least one z for which if z were sad, then z is listening to a song. Finally, from the fact that for all z, if z takes a plane, then z is sad, and that there is at least one z for which if z were sad, then z is listening to a song we can infer that there is at least one z for which if z takes a plane, then z is listening to a song. Therefore, the answer is yes.