Consider the following premises. For all y_4, y_4 will make tea if and only if y_4 will read a book. For all y_4, y_4 will make tea or y_4 will not drink water. Can we infer the following from them? If we can, name the inference rule being used: There is at least one y_4 for which the fact that y_4 drinks water does not imply that y_4 is reading a book.
 From the fact that for all y_4, y_4 will make tea or y_4 will not drink water we can infer that for all y_4, if y_4 drinks water, then y_4 is making tea via universal rewriting. From the fact that for all y_4, y_4 will make tea if and only if y_4 will read a book we can infer that for all y_4, if y_4 makes tea, then y_4 is reading a book via universal biconditional elimination. Finally, from the fact that for all y_4, if y_4 drinks water, then y_4 is making tea, and that for all y_4, if y_4 makes tea, then y_4 is reading a book we can infer that for all y_4, if y_4 drinks water, then y_4 is reading a book via universal transitivity, which contradicts that There is at least one y_4 for which the fact that y_4 drinks water does not imply that y_4 is reading a book. Therefore, the answer is no.