[lakesare]

It isn't necessary to know theory for these visualisations to be useful, both Traf and Paperproof (and sequence calculus trees!) should, ideally, just reflect what's already happening in your mental image while you're writing a Lean/Coq/on-paper mathematical proof. But I agree it warrants a tutorial/explanation, got to write it. I think it might be particularly unclear what's happening if you're just looking at the full tree of the already-proved-theorem. As we're writing the proof, hypothesis nodes (green, what we have) move down; and goal nodes (red, what we want to have) move up. So it kind of goes from both sides to the center, and you should read it "from both sides to the center", takes getting used to. Here is a video of what's happening in Paperproof as we're writing the proof e.g.: https://www.youtube.com/watch?v=0dVj4ITAF1o.