Consider the following premises. For all x_10, if x_10 plays a game, then x_10 is reading a book. For all x_10, if x_10 were a cashier, then x_10 is working. For all x_10, if x_10 reads a book, then x_10 is working. For all x_10, if x_10 were a cashier, then x_10 is playing a game. For all x_10, if x_10 works, then x_10 is a cashier. Can we infer the following from them? If we can, name the inference rule being used: For all x_10, if x_10 works, then x_10 is a cashier.
That is one of the premises. Therefore, the answer is yes.