Consider the following premises. If Michael were a cashier, then Susan is driving a car. Michael is a cashier or Susan is not driving a car. Can we infer the following from them? If is not true that Susan is driving a car if and only if Michael is a cashier.
 From the fact that Michael is a cashier or Susan is not driving a car we can infer that if Susan drives a car, then Michael is a cashier. Finally, from the fact that if Susan drives a car, then Michael is a cashier, and that if Michael were a cashier, then Susan is driving a car we can infer that Susan is driving a car if and only if Michael is a cashier, which contradicts that If is not true that Susan is driving a car if and only if Michael is a cashier. Therefore, the answer is no.