Consider the following premises. If Richard reads a book, then it is windy. If it is windy, then Richard is reading a book. If it is windy, then it is cold. Can we infer the following from them? If we can, name the inference rule being used: If Richard reads a book, then it is cold.
 From the fact that if it is windy, then Richard is reading a book, and that if Richard reads a book, then it is windy we can infer that it is windy if and only if Richard is reading a book via biconditional introduction. From the fact that it is windy if and only if Richard is reading a book we can infer that if Richard reads a book, then it is windy via biconditional elimination. Finally, from the fact that if Richard reads a book, then it is windy, and that if it is windy, then it is cold we can infer that if Richard reads a book, then it is cold via transitivity. Therefore, the answer is yes.