Consider the following premises. If it rains, then Jennifer is an office clerk. Elisabeth is a server or Jennifer is not an office clerk. It is raining or Elisabeth is not a server. Can we infer the following from them? If is not true that it is raining if and only if Elisabeth is a server.
 From the fact that Elisabeth is a server or Jennifer is not an office clerk we can infer that if Jennifer were an office clerk, then Elisabeth is a server. From the fact that if it rains, then Jennifer is an office clerk, and that if Jennifer were an office clerk, then Elisabeth is a server we can infer that if it rains, then Elisabeth is a server. From the fact that it is raining or Elisabeth is not a server we can infer that if Elisabeth were a server, then it is raining. Finally, from the fact that if it rains, then Elisabeth is a server, and that if Elisabeth were a server, then it is raining we can infer that it is raining if and only if Elisabeth is a server, which contradicts that If is not true that it is raining if and only if Elisabeth is a server. Therefore, the answer is no.