Consider the following premises. It is not cold. James is cooking if and only if it is cold. For all x_11, x_11 will drink water. Can we infer the following from them? If we can, name the inference rule being used: Michael is drinking water.
 From the fact that James is cooking if and only if it is cold, and that it is not cold we can infer that James is not cooking via biconditional elimination. Finally, from the fact that for all x_11, x_11 will drink water we can infer that Michael is drinking water via universal instantiation. Therefore, the answer is yes.