Consider the following premises. Linda is not running. Linda is running if and only if Sarah is a writer. If Sarah were not a writer, then it is cold. Can we infer the following from them? If we can, name the inference rule being used: It is cold.
 From the fact that Linda is running if and only if Sarah is a writer, and that Linda is not running we can infer that Sarah is not a writer via biconditional elimination. Finally, from the fact that if Sarah were not a writer, then it is cold, and that Sarah is not a writer we can infer that it is cold via modus ponens. Therefore, the answer is yes.