Consider the following premises. For all x_11, if x_11 were a writer, then x_11 is an electrician. For all x_11, if x_11 were rich, then x_11 is an astronaut. There is at least one x_11 for which if x_11 were an astronaut, then x_11 is an electrician. For all x_11, x_11 is a writer or x_11 is rich. Can we infer the following from them? There is at least one x_11 for which x_11 is an electrician or x_11 will work.
 From the fact that for all x_11, if x_11 were rich, then x_11 is an astronaut, and that there is at least one x_11 for which if x_11 were an astronaut, then x_11 is an electrician we can infer that there is at least one x_11 for which if x_11 were rich, then x_11 is an electrician. From the fact that for all x_11, if x_11 were a writer, then x_11 is an electrician, that there is at least one x_11 for which if x_11 were rich, then x_11 is an electrician, and that for all x_11, x_11 is a writer or x_11 is rich we can infer that there is at least one x_11 for which x_11 is an electrician. Finally, from the fact that there is at least one x_11 for which x_11 is an electrician we can infer that there is at least one x_11 for which x_11 is an electrician or x_11 will work. Therefore, the answer is yes.