Consider the following premises. For all x_6, if x_6 were poor, then x_6 is working. For all x_6, x_6 will cook if and only if x_6 is poor. There is at least one x_6 for which if x_6 works, then x_6 is an electrician. Can we infer the following from them? For all x_6, the fact that x_6 cooks does not imply that x_6 is an electrician.
That contradicts the premises. Therefore the answer is no.