Consider the following premises. There is at least one x_1 for which if x_1 were bored, then x_1 is a writer. For all x_1, if x_1 drinks water, then x_1 is excited. For all x_1, if x_1 were excited, then x_1 is bored. Can we infer the following from them? There is at least one x_1 for which if x_1 drinks water, then x_1 is a writer.
 From the fact that for all x_1, if x_1 drinks water, then x_1 is excited, and that for all x_1, if x_1 were excited, then x_1 is bored we can infer that for all x_1, if x_1 drinks water, then x_1 is bored. Finally, from the fact that for all x_1, if x_1 drinks water, then x_1 is bored, and that there is at least one x_1 for which if x_1 were bored, then x_1 is a writer we can infer that there is at least one x_1 for which if x_1 drinks water, then x_1 is a writer. Therefore, the answer is yes.