How did Lorenzo get Cochrane's ID sheet in Die Hard 2?

When McClane visits Lorenzo for the first time, he is sitting in his office with what appears to be the same ID sheet for Cochrane that McClane gets from Powell. But McClane had not done the fingerprints yet--and when he does, the ambulance people say "you are supposed to do that at the morgue."  In fact, McClane takes the sheet from Lorenzo's hand and he grabs it back.

So how did Lorenzo get the sheet in advance?

I know Lorenzo was being set up as a red herring traitor--so I guess the best answer is, the prop department gave it to him with the director's blessing.