Consider the following premises. For all x_11, x_11 will play a game. For all x_11, if x_11 were a bartender, then x_11 is playing squash. There is at least one x_11 for which x_11 is a poet. For all x_11, if x_11 plays a game, then x_11 is a bartender. For all x_11, if x_11 were a poet, then x_11 is reading a book. 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 play squash and x_11 will read a book.
 From the fact that for all x_11, if x_11 were a poet, then x_11 is reading a book, and that there is at least one x_11 for which x_11 is a poet we can infer that there is at least one x_11 for which x_11 will read a book via existential modus ponens. From the fact that for all x_11, if x_11 plays a game, then x_11 is a bartender, and that for all x_11, x_11 will play a game we can infer that for all x_11, x_11 is a bartender via universal modus ponens. From the fact that for all x_11, if x_11 were a bartender, then x_11 is playing squash, and that for all x_11, x_11 is a bartender we can infer that for all x_11, x_11 will play squash via universal modus ponens. Finally, from the fact that for all x_11, x_11 will play squash, and that there is at least one x_11 for which x_11 will read a book we can infer that there is at least one x_11 for which x_11 will play squash and x_11 will read a book via existential conjunction. Therefore, the answer is yes.