Consider the following premises. For all x_10, x_10 is a politician. For all x_4, x_4 is a bartender. Can we infer the following from them? Some politicians are bartenders.
 From the fact that for all x_10, x_10 is a politician we can infer that Mary is a politician. From the fact that Mary is a politician we can infer that there is at least one x_4 for which x_4 is a politician. Finally, from the fact that there is at least one x_4 for which x_4 is a politician, and that for all x_4, x_4 is a bartender we can infer that some politicians are bartenders. Therefore, the answer is yes.