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