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