Consider the following premises. There is at least one x_3 for which if x_3 works, then x_3 is rich. For all x_3, x_3 will work if and only if x_3 is rich. Can we infer the following from them? If we can, name the inference rule being used: For all x_3, the fact that x_3 works does not imply that x_3 is rich.
That contradicts the premises. Therefore the answer is no.