Consider the following premises. For all x_5, if x_5 were an office clerk, then x_5 is an electrician. For all x_5, x_5 is not a politician. There is at least one x_5 for which x_5 is a scientist if and only if x_5 is an office clerk. For all x_5, if x_5 were an electrician, then x_5 is a politician. Can we infer the following from them? For all x_5, x_5 is a scientist.
 From the fact that for all x_5, if x_5 were an office clerk, then x_5 is an electrician, and that for all x_5, if x_5 were an electrician, then x_5 is a politician we can infer that for all x_5, if x_5 were an office clerk, then x_5 is a politician. From the fact that for all x_5, if x_5 were an office clerk, then x_5 is a politician, and that for all x_5, x_5 is not a politician we can infer that for all x_5, x_5 is not an office clerk. Finally, from the fact that there is at least one x_5 for which x_5 is a scientist if and only if x_5 is an office clerk, and that for all x_5, x_5 is not an office clerk we can infer that there is at least one x_5 for which x_5 is not a scientist, which contradicts that For all x_5, x_5 is a scientist. Therefore, the answer is no.