Consider the following premises. If Richard works, then it is windy. If it is windy, then it is cold. If it is cold, then it is windy. If it is cold, then Richard is working. Can we infer the following from them? It is cold if and only if it is windy.
 From the fact that if it is cold, then Richard is working, and that if Richard works, then it is windy we can infer that if it is cold, then it is windy. From the fact that if it is windy, then it is cold, and that if it is cold, then it is windy we can infer that it is windy if and only if it is cold. From the fact that it is windy if and only if it is cold we can infer that if it is windy, then it is cold. Finally, from the fact that if it is cold, then it is windy, and that if it is windy, then it is cold we can infer that it is cold if and only if it is windy. Therefore, the answer is yes.