Consider the following premises. If Elisabeth drinks water, then it is raining. It is sunny. If Elisabeth drinks water, then it is not sunny. If it rains, then Elisabeth is drinking water. Can we infer the following from them? If we can, name the inference rule being used: It is raining.
 From the fact that if Elisabeth drinks water, then it is not sunny, and that it is sunny we can infer that Elisabeth is not drinking water via modus tollens. From the fact that if Elisabeth drinks water, then it is raining, and that if it rains, then Elisabeth is drinking water we can infer that Elisabeth is drinking water if and only if it is raining via biconditional introduction. Finally, from the fact that Elisabeth is drinking water if and only if it is raining, and that Elisabeth is not drinking water we can infer that it is not raining via biconditional elimination, which contradicts that It is raining. Therefore, the answer is no.