Consider the following premises. For all x_14, if x_14 were a carpenter, then x_14 is making tea. There is at least one x_14 for which if x_14 makes tea, then x_14 is an artist. For all x_14, if x_14 were a poet, then x_14 is a carpenter. For all x_14, x_14 will drive a car or x_14 is not an artist. For all x_14, if x_14 drives a car, then x_14 is a poet. Can we infer the following from them? There is at least one x_14 for which x_14 is a carpenter if and only if x_14 will make tea.
 From the fact that for all x_14, if x_14 drives a car, then x_14 is a poet, and that for all x_14, if x_14 were a poet, then x_14 is a carpenter we can infer that for all x_14, if x_14 drives a car, then x_14 is a carpenter. From the fact that for all x_14, x_14 will drive a car or x_14 is not an artist we can infer that for all x_14, if x_14 were an artist, then x_14 is driving a car. From the fact that for all x_14, if x_14 were an artist, then x_14 is driving a car, and that for all x_14, if x_14 drives a car, then x_14 is a carpenter we can infer that for all x_14, if x_14 were an artist, then x_14 is a carpenter. From the fact that there is at least one x_14 for which if x_14 makes tea, then x_14 is an artist, and that for all x_14, if x_14 were an artist, then x_14 is a carpenter we can infer that there is at least one x_14 for which if x_14 makes tea, then x_14 is a carpenter. Finally, from the fact that for all x_14, if x_14 were a carpenter, then x_14 is making tea, and that there is at least one x_14 for which if x_14 makes tea, then x_14 is a carpenter we can infer that there is at least one x_14 for which x_14 is a carpenter if and only if x_14 will make tea. Therefore, the answer is yes.