Consider the following premises. William is poor if and only if it is snowing. William is cooking if and only if Linda is rich. Linda is not rich. If William were poor, then William is cooking. Can we infer the following from them? It is snowing.
 From the fact that William is poor if and only if it is snowing we can infer that if it snows, then William is poor. From the fact that William is cooking if and only if Linda is rich, and that Linda is not rich we can infer that William is not cooking. From the fact that if William were poor, then William is cooking, and that William is not cooking we can infer that William is not poor. Finally, from the fact that if it snows, then William is poor, and that William is not poor we can infer that it is not snowing, which contradicts that It is snowing. Therefore, the answer is no.