Consider the following premises. For all x_12, x_12 is a cashier and x_12 is an astronaut. Can we infer the following from them? Elisabeth is a cashier or Richard is a doctor.
 From the fact that for all x_12, x_12 is a cashier and x_12 is an astronaut we can infer that for all x_12, x_12 is a cashier. From the fact that for all x_12, x_12 is a cashier we can infer that Elisabeth is a cashier. Finally, from the fact that Elisabeth is a cashier we can infer that Elisabeth is a cashier or Richard is a doctor. Therefore, the answer is yes.