Consider the following premises. For all x_7, x_7 is a poet if and only if x_7 will write a letter. For all x_7, if x_7 were an artist, then x_7 is a poet. There is at least one x_7 for which x_7 is not curious or x_7 is an artist. For all x_7, x_7 is curious or x_7 will write a letter. Can we infer the following from them? There is at least one x_7 for which x_7 is a poet.
 From the fact that for all x_7, x_7 is curious or x_7 will write a letter, and that there is at least one x_7 for which x_7 is not curious or x_7 is an artist we can infer that there is at least one x_7 for which x_7 will write a letter or x_7 is an artist. From the fact that for all x_7, x_7 is a poet if and only if x_7 will write a letter we can infer that for all x_7, if x_7 writes a letter, then x_7 is a poet. Finally, from the fact that for all x_7, if x_7 writes a letter, then x_7 is a poet, that for all x_7, if x_7 were an artist, then x_7 is a poet, and that there is at least one x_7 for which x_7 will write a letter or x_7 is an artist we can infer that there is at least one x_7 for which x_7 is a poet. Therefore, the answer is yes.