Consider the following premises. For all x, if x were an electrician, then x is listening to a song. For all x, x is an electrician or x is not a doctor. There is at least one x for which if x drinks water, then x is a doctor. Can we infer the following from them? There is at least one x for which if x drinks water, then x is listening to a song.
 From the fact that for all x, x is an electrician or x is not a doctor we can infer that for all x, if x were a doctor, then x is an electrician. From the fact that for all x, if x were a doctor, then x is an electrician, and that for all x, if x were an electrician, then x is listening to a song we can infer that for all x, if x were a doctor, then x is listening to a song. Finally, from the fact that there is at least one x for which if x drinks water, then x is a doctor, and that for all x, if x were a doctor, then x is listening to a song we can infer that there is at least one x for which if x drinks water, then x is listening to a song. Therefore, the answer is yes.