Consider the following premises. For all x_10, x_10 will not read a book. There is at least one x_10 for which x_10 is a carpenter. For all x_10, x_10 is a writer or x_10 is a police officer. For all x_10, x_10 is not a writer or x_10 will drink water. For all x_10, x_10 is a police officer if and only if x_10 will read a book. Can we infer the following from them? If we can, name the inference rule being used: Some carpenters will drink water.
 From the fact that for all x_10, x_10 is a police officer if and only if x_10 will read a book, and that for all x_10, x_10 will not read a book we can infer that for all x_10, x_10 is not a police officer via universal biconditional elimination. From the fact that for all x_10, x_10 is a writer or x_10 is a police officer, and that for all x_10, x_10 is not a writer or x_10 will drink water we can infer that for all x_10, x_10 is a police officer or x_10 will drink water via universal resolution. From the fact that for all x_10, x_10 is a police officer or x_10 will drink water, and that for all x_10, x_10 is not a police officer we can infer that for all x_10, x_10 will drink water via universal disjunctive syllogism. Finally, from the fact that there is at least one x_10 for which x_10 is a carpenter, and that for all x_10, x_10 will drink water we can infer that some carpenters will drink water via existential conjunction. Therefore, the answer is yes.