Consider the following premises. John is sleeping if and only if Karen is rich. John is sleeping if and only if Jessica is driving a car. If Karen were rich, then Michael is a taxi driver. Michael is not a taxi driver. If Jessica drives a car, then John is sleeping. Can we infer the following from them? If we can, name the inference rule being used: Jessica is driving a car.
 From the fact that if Karen were rich, then Michael is a taxi driver, and that Michael is not a taxi driver we can infer that Karen is not rich via modus tollens. From the fact that John is sleeping if and only if Karen is rich, and that Karen is not rich we can infer that John is not sleeping via biconditional elimination. From the fact that John is sleeping if and only if Jessica is driving a car we can infer that if John sleeps, then Jessica is driving a car via biconditional elimination. From the fact that if John sleeps, then Jessica is driving a car, and that if Jessica drives a car, then John is sleeping we can infer that John is sleeping if and only if Jessica is driving a car via biconditional introduction. Finally, from the fact that John is sleeping if and only if Jessica is driving a car, and that John is not sleeping we can infer that Jessica is not driving a car via biconditional elimination, which contradicts that Jessica is driving a car. Therefore, the answer is no.