Consider the following premises. If Linda cooks, then Karen is poor. It is not cold. If Joseph drives a car, then Linda is cooking. It is cold if and only if Karen is poor. Can we infer the following from them? If we can, name the inference rule being used: Joseph is driving a car.
 From the fact that it is cold if and only if Karen is poor, and that it is not cold we can infer that Karen is not poor via biconditional elimination. From the fact that if Linda cooks, then Karen is poor, and that Karen is not poor we can infer that Linda is not cooking via modus tollens. Finally, from the fact that if Joseph drives a car, then Linda is cooking, and that Linda is not cooking we can infer that Joseph is not driving a car via modus tollens, which contradicts that Joseph is driving a car. Therefore, the answer is no.