Consider the following premises. For all x_8, if x_8 drinks water, then x_8 is a taxi driver. For all x_8, x_8 is a politician if and only if x_8 is a taxi driver. For all x_8, x_8 will not cook. For all x_8, x_8 is a politician if and only if x_8 will cook. Can we infer the following from them? If we can, name the inference rule being used: For all x_8, x_8 will not drink water.
 From the fact that for all x_8, x_8 is a politician if and only if x_8 will cook, and that for all x_8, x_8 will not cook we can infer that for all x_8, x_8 is not a politician via universal biconditional elimination. From the fact that for all x_8, x_8 is a politician if and only if x_8 is a taxi driver, and that for all x_8, x_8 is not a politician we can infer that for all x_8, x_8 is not a taxi driver via universal biconditional elimination. Finally, from the fact that for all x_8, if x_8 drinks water, then x_8 is a taxi driver, and that for all x_8, x_8 is not a taxi driver we can infer that for all x_8, x_8 will not drink water via universal modus tollens. Therefore, the answer is yes.