Consider the following premises. If it is cold, then it is overcast. If it is overcast, then it is windy. Patricia is driving a car if and only if it is windy. Can we infer the following from them? If we can, name the inference rule being used: The fact that it is cold does not imply that Patricia is driving a car.
 From the fact that Patricia is driving a car if and only if it is windy we can infer that if it is windy, then Patricia is driving a car via biconditional elimination. From the fact that if it is cold, then it is overcast, and that if it is overcast, then it is windy we can infer that if it is cold, then it is windy via transitivity. Finally, from the fact that if it is cold, then it is windy, and that if it is windy, then Patricia is driving a car we can infer that if it is cold, then Patricia is driving a car via transitivity, which contradicts that The fact that it is cold does not imply that Patricia is driving a car. Therefore, the answer is no.