Consider the following premises. If it is cloudy, then it is cold. It is snowing if and only if it is sunny. It is not cold. It is not snowing. Can we infer the following from them? It is cloudy.
 From the fact that it is snowing if and only if it is sunny, and that it is not snowing we can infer that it is not sunny. Finally, from the fact that if it is cloudy, then it is cold, and that it is not cold we can infer that it is not cloudy, which contradicts that It is cloudy. Therefore, the answer is no.