Consider the following premises. For all x_11, if x_11 drinks water, then x_11 is sad. For all x_11, if x_11 cooks, then x_11 is drinking water. For all x_11, x_11 is not a politician or x_11 is a mechanic. For all x_11, if x_11 were a mechanic, then x_11 is drinking water. There is at least one x_11 for which x_11 is a politician or x_11 will cook. Can we infer the following from them? For all x_11, x_11 is not sad.
 From the fact that there is at least one x_11 for which x_11 is a politician or x_11 will cook, and that for all x_11, x_11 is not a politician or x_11 is a mechanic we can infer that there is at least one x_11 for which x_11 will cook or x_11 is a mechanic. From the fact that for all x_11, if x_11 cooks, then x_11 is drinking water, that for all x_11, if x_11 were a mechanic, then x_11 is drinking water, and that there is at least one x_11 for which x_11 will cook or x_11 is a mechanic we can infer that there is at least one x_11 for which x_11 will drink water. Finally, from the fact that for all x_11, if x_11 drinks water, then x_11 is sad, and that there is at least one x_11 for which x_11 will drink water we can infer that there is at least one x_11 for which x_11 is sad, which contradicts that For all x_11, x_11 is not sad. Therefore, the answer is no.