Consider the following premises. David is drinking water if and only if Michael is playing tennis. Jessica is listening to a song if and only if Michael is playing tennis. Jessica is not listening to a song. Can we infer the following from them? David is not drinking water.
 From the fact that Jessica is listening to a song if and only if Michael is playing tennis, and that Jessica is not listening to a song we can infer that Michael is not playing tennis. From the fact that David is drinking water if and only if Michael is playing tennis we can infer that if David drinks water, then Michael is playing tennis. Finally, from the fact that if David drinks water, then Michael is playing tennis, and that Michael is not playing tennis we can infer that David is not drinking water. Therefore, the answer is yes.