Consider the following premises. If Michael cooks, then it is not cold. It is cold. Jessica is working if and only if Michael is cooking. If Michael cooks, then Jessica is working. Can we infer the following from them? Jessica is working.
 From the fact that Jessica is working if and only if Michael is cooking we can infer that if Jessica works, then Michael is cooking. From the fact that if Michael cooks, then Jessica is working, and that if Jessica works, then Michael is cooking we can infer that Michael is cooking if and only if Jessica is working. From the fact that if Michael cooks, then it is not cold, and that it is cold we can infer that Michael is not cooking. Finally, from the fact that Michael is cooking if and only if Jessica is working, and that Michael is not cooking we can infer that Jessica is not working, which contradicts that Jessica is working. Therefore, the answer is no.