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