Consider the following premises. For all z, if z goes running, then z is an electrician. For all z, if z were a writer, then z is running. For all z, if z were an electrician, then z is running. Can we infer the following from them? For all z, if z were a writer, then z is an electrician.
 From the fact that for all z, if z were an electrician, then z is running, and that for all z, if z goes running, then z is an electrician we can infer that for all z, z is an electrician if and only if z will go running. From the fact that for all z, z is an electrician if and only if z will go running we can infer that for all z, if z goes running, then z is an electrician. Finally, from the fact that for all z, if z were a writer, then z is running, and that for all z, if z goes running, then z is an electrician we can infer that for all z, if z were a writer, then z is an electrician. Therefore, the answer is yes.