Consider the following premises. If it is cloudy, then it is sunny. If it is sunny, then Michael is playing tennis. It is cloudy if and only if Michael is playing tennis. Can we infer the following from them? If Michael plays tennis, then it is sunny.
 From the fact that it is cloudy if and only if Michael is playing tennis we can infer that if Michael plays tennis, then it is cloudy. Finally, from the fact that if Michael plays tennis, then it is cloudy, and that if it is cloudy, then it is sunny we can infer that if Michael plays tennis, then it is sunny. Therefore, the answer is yes.