Consider the following premises. For all x_2, x_2 will listen to a song. For all x_2, if x_2 were a poet, then x_2 is a mechanic. For all x_2, x_2 is a poet. Can we infer the following from them? There is at least one x_2 for which x_2 is not a mechanic.
 From the fact that for all x_2, if x_2 were a poet, then x_2 is a mechanic, and that for all x_2, x_2 is a poet we can infer that for all x_2, x_2 is a mechanic. From the fact that for all x_2, x_2 will listen to a song, and that for all x_2, x_2 is a mechanic we can infer that for all x_2, x_2 will listen to a song and x_2 is a mechanic. Finally, from the fact that for all x_2, x_2 will listen to a song and x_2 is a mechanic we can infer that for all x_2, x_2 will listen to a song, which contradicts that There is at least one x_2 for which x_2 is not a mechanic. Therefore, the answer is no.