Consider the following premises. For all x_11, x_11 is an office clerk or x_11 is rich. For all x_11, if x_11 were rich, then x_11 is an astronaut. For all x_11, x_11 is a police officer or x_11 will read a book. There is at least one x_11 for which if x_11 were an office clerk, then x_11 is an astronaut. For all x_11, x_11 is not 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_11 for which x_11 will read a book and x_11 is an astronaut.
 From the fact that for all x_11, x_11 is a police officer or x_11 will read a book, and that for all x_11, x_11 is not a police officer we can infer that for all x_11, x_11 will read a book via universal disjunctive syllogism. From the fact that there is at least one x_11 for which if x_11 were an office clerk, then x_11 is an astronaut, that for all x_11, if x_11 were rich, then x_11 is an astronaut, and that for all x_11, x_11 is an office clerk or x_11 is rich we can infer that there is at least one x_11 for which x_11 is an astronaut via existential disjunction elimination. Finally, from the fact that for all x_11, x_11 will read a book, and that there is at least one x_11 for which x_11 is an astronaut we can infer that there is at least one x_11 for which x_11 will read a book and x_11 is an astronaut via existential conjunction. Therefore, the answer is yes.