Consider the following premises. For all x_6, x_6 is an office clerk. For all x_6, x_6 is an astronaut. For all x_6, if x_6 were an astronaut, then x_6 is a politician. For all x_6, x_6 is bored. Can we infer the following from them? There is at least one x_6 for which either x_6 is a politician or x_6 is bored are not true.
 From the fact that for all x_6, if x_6 were an astronaut, then x_6 is a politician, and that for all x_6, x_6 is an astronaut we can infer that for all x_6, x_6 is a politician. From the fact that for all x_6, x_6 is a politician, and that for all x_6, x_6 is an office clerk we can infer that for all x_6, x_6 is a politician and x_6 is an office clerk. From the fact that for all x_6, x_6 is a politician and x_6 is an office clerk we can infer that for all x_6, x_6 is a politician. Finally, from the fact that for all x_6, x_6 is a politician, and that for all x_6, x_6 is bored we can infer that for all x_6, x_6 is a politician and x_6 is bored, which contradicts that There is at least one x_6 for which either x_6 is a politician or x_6 is bored are not true. Therefore, the answer is no.