Consider the following premises. There is at least one x_11 for which if x_11 were poor, then x_11 is a police officer. For all x_11, x_11 is a lawyer or x_11 is a janitor. For all x_11, if x_11 were a police officer, then x_11 is a carpenter. For all x_11, if x_11 were an artist, then x_11 is poor. For all x_11, if x_11 were a lawyer, then x_11 is an artist. For all x_11, if x_11 were a janitor, then x_11 is an artist. Can we infer the following from them? There is at least one x_11 for which x_11 is a carpenter.
 From the fact that for all x_11, if x_11 were an artist, then x_11 is poor, and that there is at least one x_11 for which if x_11 were poor, then x_11 is a police officer we can infer that there is at least one x_11 for which if x_11 were an artist, then x_11 is a police officer. From the fact that for all x_11, if x_11 were a lawyer, then x_11 is an artist, that for all x_11, if x_11 were a janitor, then x_11 is an artist, and that for all x_11, x_11 is a lawyer or x_11 is a janitor we can infer that for all x_11, x_11 is an artist. From the fact that there is at least one x_11 for which if x_11 were an artist, then x_11 is a police officer, and that for all x_11, if x_11 were a police officer, then x_11 is a carpenter we can infer that there is at least one x_11 for which if x_11 were an artist, then x_11 is a carpenter. Finally, from the fact that there is at least one x_11 for which if x_11 were an artist, then x_11 is a carpenter, and that for all x_11, x_11 is an artist we can infer that there is at least one x_11 for which x_11 is a carpenter. Therefore, the answer is yes.