Consider the following premises. For all x_11, x_11 will cook or x_11 will write a letter. For all x_11, x_11 is an artist. For all x_11, if x_11 writes a letter, then x_11 is a cashier. There is at least one x_11 for which if x_11 were a writer, then x_11 is a cashier. For all x_11, x_11 will not cook or x_11 is a writer. Can we infer the following from them? There is at least one x_11 for which x_11 is a cashier and x_11 is an artist.
 From the fact that for all x_11, x_11 will cook or x_11 will write a letter, and that for all x_11, x_11 will not cook or x_11 is a writer we can infer that for all x_11, x_11 will write a letter or x_11 is a writer. From the fact that for all x_11, if x_11 writes a letter, then x_11 is a cashier, that there is at least one x_11 for which if x_11 were a writer, then x_11 is a cashier, and that for all x_11, x_11 will write a letter or x_11 is a writer we can infer that there is at least one x_11 for which x_11 is a cashier. Finally, from the fact that there is at least one x_11 for which x_11 is a cashier, and that for all x_11, x_11 is an artist we can infer that there is at least one x_11 for which x_11 is a cashier and x_11 is an artist. Therefore, the answer is yes.