Consider the following premises. For all x_8, x_8 is a lawyer if and only if x_8 is a mechanic. For all x_8, if x_8 were poor, then x_8 is a lawyer. For all x_8, x_8 is a mechanic if and only if x_8 is an astronaut. For all x_8, x_8 is not an astronaut. Can we infer the following from them? For all x_8, x_8 is not poor.
 From the fact that for all x_8, x_8 is a mechanic if and only if x_8 is an astronaut, and that for all x_8, x_8 is not an astronaut we can infer that for all x_8, x_8 is not a mechanic. From the fact that for all x_8, x_8 is a lawyer if and only if x_8 is a mechanic, and that for all x_8, x_8 is not a mechanic we can infer that for all x_8, x_8 is not a lawyer. Finally, from the fact that for all x_8, if x_8 were poor, then x_8 is a lawyer, and that for all x_8, x_8 is not a lawyer we can infer that for all x_8, x_8 is not poor. Therefore, the answer is yes.