Consider the following premises. If it snows, then Richard is running. If it is sunny, then it is snowing. Richard is running if and only if it is sunny. Can we infer the following from them? If Richard goes running, then it is sunny.
 From the fact that if it is sunny, then it is snowing, and that if it snows, then Richard is running we can infer that if it is sunny, then Richard is running. Finally, from the fact that Richard is running if and only if it is sunny we can infer that if Richard goes running, then it is sunny. Therefore, the answer is yes.