Consider the following premises. If it is cold, then Karen is a mechanic. Charles is playing a game and it is raining. If Elisabeth drinks water, then it is cold. If Karen were a mechanic, then Charles is not playing a game. If it is cold, then Elisabeth is drinking water. Can we infer the following from them? If we can, name the inference rule being used: Elisabeth is drinking water.
 From the fact that if Elisabeth drinks water, then it is cold, and that if it is cold, then Elisabeth is drinking water we can infer that Elisabeth is drinking water if and only if it is cold via biconditional introduction. From the fact that Charles is playing a game and it is raining we can infer that Charles is playing a game via simplification. From the fact that if Karen were a mechanic, then Charles is not playing a game, and that Charles is playing a game we can infer that Karen is not a mechanic via modus tollens. From the fact that if it is cold, then Karen is a mechanic, and that Karen is not a mechanic we can infer that it is not cold via modus tollens. Finally, from the fact that Elisabeth is drinking water if and only if it is cold, and that it is not cold we can infer that Elisabeth is not drinking water via biconditional elimination, which contradicts that Elisabeth is drinking water. Therefore, the answer is no.