Consider the following premises. For all y, y will cook if and only if y is an electrician. For all y, y is an electrician if and only if y is a politician. For all y, y will not cook. Can we infer the following from them? There is at least one y for which y is a politician.
 From the fact that for all y, y will cook if and only if y is an electrician, and that for all y, y will not cook we can infer that for all y, y is not an electrician. Finally, from the fact that for all y, y is an electrician if and only if y is a politician, and that for all y, y is not an electrician we can infer that for all y, y is not a politician, which contradicts that There is at least one y for which y is a politician. Therefore, the answer is no.