Consider the following premises. For all x_11, if x_11 cooks, then x_11 is curious. There is at least one x_11 for which if x_11 were rich, then x_11 is cooking. For all x_11, x_11 is rich. For all x_11, if x_11 were a politician, then x_11 is not curious. Can we infer the following from them? There is at least one x_11 for which x_11 is not a politician.
 From the fact that there is at least one x_11 for which if x_11 were rich, then x_11 is cooking, and that for all x_11, x_11 is rich we can infer that there is at least one x_11 for which x_11 will cook. From the fact that for all x_11, if x_11 cooks, then x_11 is curious, and that there is at least one x_11 for which x_11 will cook we can infer that there is at least one x_11 for which x_11 is curious. Finally, from the fact that for all x_11, if x_11 were a politician, then x_11 is not curious, and that there is at least one x_11 for which x_11 is curious we can infer that there is at least one x_11 for which x_11 is not a politician. Therefore, the answer is yes.