Consider the following premises. For all x_9, x_9 will drink water or x_9 is bored. For all x_9, x_9 will read a book. For all x_9, if x_9 were bored, then x_9 is a police officer. There is at least one x_9 for which if x_9 drinks water, then x_9 is a police officer. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_9 for which x_9 is a police officer.
We can infer this via the existential disjunction elimination rule. Therefore, the answer is yes.