Consider the following premises. It is cloudy. It is sunny or Linda is reading a book. It is cold. If it is sunny, then it is not cold. Can we infer the following from them? It is cloudy and Linda is reading a book.
 From the fact that if it is sunny, then it is not cold, and that it is cold we can infer that it is not sunny. From the fact that it is sunny or Linda is reading a book, and that it is not sunny we can infer that Linda is reading a book. Finally, from the fact that it is cloudy, and that Linda is reading a book we can infer that it is cloudy and Linda is reading a book. Therefore, the answer is yes.