Consider the following premises. For all z, z is poor. For all z, if z were an electrician, then z is not making tea. There is at least one z for which z is poor if and only if z will make tea. Can we infer the following from them? There is at least one z for which z is not an electrician.
 From the fact that there is at least one z for which z is poor if and only if z will make tea we can infer that there is at least one z for which if z were poor, then z is making tea. From the fact that there is at least one z for which if z were poor, then z is making tea, and that for all z, z is poor we can infer that there is at least one z for which z will make tea. Finally, from the fact that for all z, if z were an electrician, then z is not making tea, and that there is at least one z for which z will make tea we can infer that there is at least one z for which z is not an electrician. Therefore, the answer is yes.