Consider the following premises. William is sad or it is cold. It is cold if and only if Robert is playing tennis. If William were sad, then Robert is playing tennis. Can we infer the following from them? Robert is playing tennis.
 From the fact that it is cold if and only if Robert is playing tennis we can infer that if it is cold, then Robert is playing tennis. Finally, from the fact that if William were sad, then Robert is playing tennis, that if it is cold, then Robert is playing tennis, and that William is sad or it is cold we can infer that Robert is playing tennis. Therefore, the answer is yes.