Consider the following premises. For all x_6, x_6 will not write a letter. For all x_6, x_6 will write a letter or x_6 will drive a car. For all x_6, if x_6 drives a car, then x_6 is a politician. Can we infer the following from them? If we can, name the inference rule being used: For all x_6, x_6 is a politician or x_6 will read a book.
 From the fact that for all x_6, x_6 will write a letter or x_6 will drive a car, and that for all x_6, x_6 will not write a letter we can infer that for all x_6, x_6 will drive a car via universal disjunctive syllogism. From the fact that for all x_6, if x_6 drives a car, then x_6 is a politician, and that for all x_6, x_6 will drive a car we can infer that for all x_6, x_6 is a politician via universal modus ponens. Finally, from the fact that for all x_6, x_6 is a politician we can infer that for all x_6, x_6 is a politician or x_6 will read a book via universal addition. Therefore, the answer is yes.