Consider the following premises. It is windy. It is not cloudy. It is cloudy or William is sleeping. Can we infer the following from them? It is windy and William is sleeping.
 From the fact that it is cloudy or William is sleeping, and that it is not cloudy we can infer that William is sleeping. Finally, from the fact that it is windy, and that William is sleeping we can infer that it is windy and William is sleeping. Therefore, the answer is yes.