Consider the following premises. For all z, if z drinks water, then z is fast. For all z, if z works, then z is drinking water. There is at least one z for which if z were fast, then z is drinking water. For all z, z will work or z is fast. Can we infer the following from them? If we can, name the inference rule being used: For all z, if z drinks water, then z is fast.
That is one of the premises. Therefore, the answer is yes.