Consider the following premises. For all x_4, x_4 is poor or x_4 will take a plane. For all x_4, x_4 is not poor. There is at least one x_4 for which x_4 will read a book. Can we infer the following from them? If we can, name the inference rule being used: For all x_4, x_4 will not read a book.
 From the fact that for all x_4, x_4 is poor or x_4 will take a plane, and that for all x_4, x_4 is not poor we can infer that for all x_4, x_4 will take a plane via universal disjunctive syllogism. From the fact that for all x_4, x_4 will take a plane, and that there is at least one x_4 for which x_4 will read a book we can infer that there is at least one x_4 for which x_4 will take a plane and x_4 will read a book via existential conjunction. Finally, from the fact that there is at least one x_4 for which x_4 will take a plane and x_4 will read a book we can infer that there is at least one x_4 for which x_4 will take a plane via existential simplification, which contradicts that For all x_4, x_4 will not read a book. Therefore, the answer is no.