Consider the following premises. Karen is a musician if and only if James is driving a car. Karen is a taxi driver or James is driving a car. Karen is a musician or Karen is not a taxi driver. Can we infer the following from them? If we can, name the inference rule being used: Karen is not a musician.
 From the fact that Karen is a musician if and only if James is driving a car we can infer that if James drives a car, then Karen is a musician via biconditional elimination. From the fact that Karen is a musician or Karen is not a taxi driver we can infer that if Karen were a taxi driver, then Karen is a musician via rewriting. Finally, from the fact that if Karen were a taxi driver, then Karen is a musician, that if James drives a car, then Karen is a musician, and that Karen is a taxi driver or James is driving a car we can infer that Karen is a musician via disjunction elimination, which contradicts that Karen is not a musician. Therefore, the answer is no.