Consider the following premises. For all x_8, if x_8 were poor, then x_8 is fast. For all x_8, x_8 is fast or x_8 will not make tea. For all x_8, if x_8 were fast, then x_8 is a writer. For all x_8, x_8 is poor. Can we infer the following from them? There is at least one x_8 for which x_8 is not a writer.
 From the fact that for all x_8, x_8 is fast or x_8 will not make tea we can infer that for all x_8, if x_8 makes tea, then x_8 is fast. From the fact that for all x_8, x_8 is poor we can infer that for all x_8, x_8 is poor or x_8 will make tea. From the fact that for all x_8, if x_8 were poor, then x_8 is fast, that for all x_8, if x_8 makes tea, then x_8 is fast, and that for all x_8, x_8 is poor or x_8 will make tea we can infer that for all x_8, x_8 is fast. Finally, from the fact that for all x_8, if x_8 were fast, then x_8 is a writer, and that for all x_8, x_8 is fast we can infer that for all x_8, x_8 is a writer, which contradicts that There is at least one x_8 for which x_8 is not a writer. Therefore, the answer is no.