Consider the following premises. If Linda were a lawyer, then Barbara is a musician. Charles is not sleeping. If Linda were not a lawyer, then James is driving a car. Charles is sleeping if and only if Barbara is a musician. Can we infer the following from them? If we can, name the inference rule being used: James is not driving a car.
 From the fact that Charles is sleeping if and only if Barbara is a musician, and that Charles is not sleeping we can infer that Barbara is not a musician via biconditional elimination. From the fact that if Linda were a lawyer, then Barbara is a musician, and that Barbara is not a musician we can infer that Linda is not a lawyer via modus tollens. Finally, from the fact that if Linda were not a lawyer, then James is driving a car, and that Linda is not a lawyer we can infer that James is driving a car via modus ponens, which contradicts that James is not driving a car. Therefore, the answer is no.