Consider the following premises. For all x_12, if x_12 drinks water, then x_12 is a politician. For all x_12, x_12 is a lawyer or x_12 is rich. For all x_12, x_12 is a lawyer if and only if x_12 is a politician. For all x_12, x_12 will drink water if and only if x_12 is rich. Can we infer the following from them? For all x_12, x_12 is a politician.
 From the fact that for all x_12, x_12 will drink water if and only if x_12 is rich we can infer that for all x_12, if x_12 were rich, then x_12 is drinking water. From the fact that for all x_12, x_12 is a lawyer if and only if x_12 is a politician we can infer that for all x_12, if x_12 were a lawyer, then x_12 is a politician. From the fact that for all x_12, if x_12 were rich, then x_12 is drinking water, and that for all x_12, if x_12 drinks water, then x_12 is a politician we can infer that for all x_12, if x_12 were rich, then x_12 is a politician. Finally, from the fact that for all x_12, if x_12 were a lawyer, then x_12 is a politician, that for all x_12, if x_12 were rich, then x_12 is a politician, and that for all x_12, x_12 is a lawyer or x_12 is rich we can infer that for all x_12, x_12 is a politician. Therefore, the answer is yes.