Consider the following premises. Jennifer is running if and only if it is raining. Elisabeth is a mechanic if and only if Charles is a politician. Charles is not a politician. It is raining if and only if Elisabeth is a mechanic. Can we infer the following from them? Jennifer is running.
 From the fact that Elisabeth is a mechanic if and only if Charles is a politician, and that Charles is not a politician we can infer that Elisabeth is not a mechanic. From the fact that it is raining if and only if Elisabeth is a mechanic, and that Elisabeth is not a mechanic we can infer that it is not raining. Finally, from the fact that Jennifer is running if and only if it is raining, and that it is not raining we can infer that Jennifer is not running, which contradicts that Jennifer is running. Therefore, the answer is no.