Consider the following premises. For all y, y will take a plane if and only if y is fast. For all y, y will take a plane or y will not drink water. For all y, if y were fast, then y is drinking water. Can we infer the following from them? If we can, name the inference rule being used: For all y, if y drinks water, then y is fast.
 From the fact that for all y, y will take a plane or y will not drink water we can infer that for all y, if y drinks water, then y is taking a plane via universal rewriting. From the fact that for all y, y will take a plane if and only if y is fast we can infer that for all y, if y takes a plane, then y is fast via universal biconditional elimination. Finally, from the fact that for all y, if y drinks water, then y is taking a plane, and that for all y, if y takes a plane, then y is fast we can infer that for all y, if y drinks water, then y is fast via universal transitivity. Therefore, the answer is yes.