Consider the following premises. For all x_8, if x_8 were rich, then x_8 is an astronaut. For all x_8, if x_8 makes tea, then x_8 is an astronaut. For all x_8, x_8 is an astronaut if and only if x_8 is rich. Can we infer the following from them? For all x_8, if x_8 makes tea, then x_8 is rich.
 From the fact that for all x_8, x_8 is an astronaut if and only if x_8 is rich we can infer that for all x_8, if x_8 were an astronaut, then x_8 is rich. From the fact that for all x_8, if x_8 were an astronaut, then x_8 is rich, and that for all x_8, if x_8 were rich, then x_8 is an astronaut we can infer that for all x_8, x_8 is an astronaut if and only if x_8 is rich. From the fact that for all x_8, x_8 is an astronaut if and only if x_8 is rich we can infer that for all x_8, if x_8 were an astronaut, then x_8 is rich. Finally, from the fact that for all x_8, if x_8 makes tea, then x_8 is an astronaut, and that for all x_8, if x_8 were an astronaut, then x_8 is rich we can infer that for all x_8, if x_8 makes tea, then x_8 is rich. Therefore, the answer is yes.