Consider the following premises. It is sunny if and only if Charles is a politician. If Jennifer cooks, then Charles is a politician. It is not sunny. Can we infer the following from them? Jennifer is cooking.
 From the fact that it is sunny if and only if Charles is a politician we can infer that if Charles were a politician, then it is sunny. From the fact that if Jennifer cooks, then Charles is a politician, and that if Charles were a politician, then it is sunny we can infer that if Jennifer cooks, then it is sunny. Finally, from the fact that if Jennifer cooks, then it is sunny, and that it is not sunny we can infer that Jennifer is not cooking, which contradicts that Jennifer is cooking. Therefore, the answer is no.