Consider the following premises. For all x_6, x_6 is rich or x_6 is not an astronaut. For all x_6, x_6 is an astronaut or x_6 is not an artist. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_6 for which the fact that x_6 were an artist does not imply that x_6 is rich.
 From the fact that for all x_6, x_6 is rich or x_6 is not an astronaut we can infer that for all x_6, if x_6 were an astronaut, then x_6 is rich via universal rewriting. From the fact that for all x_6, x_6 is an astronaut or x_6 is not an artist we can infer that for all x_6, if x_6 were an artist, then x_6 is an astronaut via universal rewriting. Finally, from the fact that for all x_6, if x_6 were an artist, then x_6 is an astronaut, and that for all x_6, if x_6 were an astronaut, then x_6 is rich we can infer that for all x_6, if x_6 were an artist, then x_6 is rich via universal transitivity, which contradicts that There is at least one x_6 for which the fact that x_6 were an artist does not imply that x_6 is rich. Therefore, the answer is no.