Consider the following premises. For all x_6, if x_6 were fast, then x_6 is a writer. For all x_6, x_6 will sleep or x_6 is not bored. For all x_6, if x_6 were a writer, then x_6 is bored. Can we infer the following from them? There is at least one x_6 for which the fact that x_6 were fast does not imply that x_6 is sleeping.
 From the fact that for all x_6, x_6 will sleep or x_6 is not bored we can infer that for all x_6, if x_6 were bored, then x_6 is sleeping. From the fact that for all x_6, if x_6 were a writer, then x_6 is bored, and that for all x_6, if x_6 were bored, then x_6 is sleeping we can infer that for all x_6, if x_6 were a writer, then x_6 is sleeping. Finally, from the fact that for all x_6, if x_6 were fast, then x_6 is a writer, and that for all x_6, if x_6 were a writer, then x_6 is sleeping we can infer that for all x_6, if x_6 were fast, then x_6 is sleeping, which contradicts that There is at least one x_6 for which the fact that x_6 were fast does not imply that x_6 is sleeping. Therefore, the answer is no.