Consider the following premises. If Susan were a police officer, then Karen is working. If it is cloudy, then Susan is a police officer. It is sunny if and only if Karen is working. Can we infer the following from them? If we can, name the inference rule being used: If it is cloudy, then it is sunny.
 From the fact that it is sunny if and only if Karen is working we can infer that if Karen works, then it is sunny via biconditional elimination. From the fact that if it is cloudy, then Susan is a police officer, and that if Susan were a police officer, then Karen is working we can infer that if it is cloudy, then Karen is working via transitivity. Finally, from the fact that if it is cloudy, then Karen is working, and that if Karen works, then it is sunny we can infer that if it is cloudy, then it is sunny via transitivity. Therefore, the answer is yes.