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