Consider the following premises. For all x_7, x_7 is a police officer or x_7 will make tea. There is at least one x_7 for which if x_7 were a police officer, then x_7 is a scientist. For all x_7, if x_7 reads a book, then x_7 is not a scientist. For all x_7, if x_7 makes tea, then x_7 is a scientist. Can we infer the following from them? If we can, name the inference rule being used: For all x_7, x_7 will read a book.
 From the fact that there is at least one x_7 for which if x_7 were a police officer, then x_7 is a scientist, that for all x_7, if x_7 makes tea, then x_7 is a scientist, and that for all x_7, x_7 is a police officer or x_7 will make tea we can infer that there is at least one x_7 for which x_7 is a scientist via existential disjunction elimination. Finally, from the fact that for all x_7, if x_7 reads a book, then x_7 is not a scientist, and that there is at least one x_7 for which x_7 is a scientist we can infer that there is at least one x_7 for which x_7 will not read a book via existential modus tollens, which contradicts that For all x_7, x_7 will read a book. Therefore, the answer is no.