Consider the following premises. For all x_11, if x_11 were rich, then x_11 is sleeping. For all x_11, x_11 is not a nurse. For all x_11, x_11 will work if and only if x_11 will play a game. For all x_11, x_11 is a nurse if and only if x_11 will play a game. For all x_11, if x_11 sleeps, then x_11 is working. Can we infer the following from them? There is at least one x_11 for which x_11 is rich.
 From the fact that for all x_11, x_11 is a nurse if and only if x_11 will play a game, and that for all x_11, x_11 is not a nurse we can infer that for all x_11, x_11 will not play a game. From the fact that for all x_11, x_11 will work if and only if x_11 will play a game, and that for all x_11, x_11 will not play a game we can infer that for all x_11, x_11 will not work. From the fact that for all x_11, if x_11 sleeps, then x_11 is working, and that for all x_11, x_11 will not work we can infer that for all x_11, x_11 will not sleep. Finally, from the fact that for all x_11, if x_11 were rich, then x_11 is sleeping, and that for all x_11, x_11 will not sleep we can infer that for all x_11, x_11 is not rich, which contradicts that There is at least one x_11 for which x_11 is rich. Therefore, the answer is no.