Consider the following premises. Charles is excited. Richard is reading a book. If Richard reads a book, then Linda is happy. Can we infer the following from them? If we can, name the inference rule being used: Linda is happy.
 From the fact that Richard is reading a book, and that Charles is excited we can infer that Richard is reading a book and Charles is excited via conjunction. From the fact that Richard is reading a book and Charles is excited we can infer that Richard is reading a book via simplification. Finally, from the fact that if Richard reads a book, then Linda is happy, and that Richard is reading a book we can infer that Linda is happy via modus ponens. Therefore, the answer is yes.