Consider the following premises. If Robert reads a book, then Karen is a lawyer. William is working or Jennifer is poor. If William works, then Karen is a lawyer. Jennifer is poor if and only if Robert is reading a book. Can we infer the following from them? Karen is a lawyer.
 From the fact that Jennifer is poor if and only if Robert is reading a book we can infer that if Jennifer were poor, then Robert is reading a book. From the fact that if Jennifer were poor, then Robert is reading a book, and that if Robert reads a book, then Karen is a lawyer we can infer that if Jennifer were poor, then Karen is a lawyer. Finally, from the fact that if William works, then Karen is a lawyer, that if Jennifer were poor, then Karen is a lawyer, and that William is working or Jennifer is poor we can infer that Karen is a lawyer. Therefore, the answer is yes.