I would say there's a whole spectrum: understanding a proof ("recognizing") is on one end. Rewriting a proof from scratch lies along the spectrum but it's not t

I would say there's a whole spectrum: understanding a proof ("recognizing") is on one end. Rewriting a proof from scratch lies along the spectrum but it's not the other end in my opinion. Can you prove a variation? Could you come up with the proof on your own in the first place?