You mean like a dependency tree? There isn’t a comprehensive one — it would be way too big and we don’t have all mathematical knowledge written down in one place anyway.

But if you’re interested in any given classical result, if you ask I’m sure a mathematician can give you a rough idea of what the path back down to first principles is. If you’re not literally interested in starting by assuming the existence of the empty set, say, then opening any introductory book on the topic will give you an idea. Just look at the proof of the result and follow its references back. It won’t go that deep.

I see. I was just thinking I would personally appreciate seeing a big graph of proof-dependencies. A bit like "Seeing the Forest from the Trees".

Every mathematician is working on their own TREE, I assume. But might be useful if somebody was looking at how the FOREST is doing.

> it would be way too big and we don’t have all mathematical knowledge written down in one place anyway.

Yet somehow Google managed to index the Internet.

And the human genome is indexed.

The thing with mathematics is there are often many different ways to prove things leaving no universally agreed upon graph of true mathematical statements in terms of which helps proving which! That being said, you might want to check out ProofWiki [1], an online collaborative project featuring mathematical proofs consistently linked together.

[1] https://proofwiki.org/wiki/Main_Page

Ah, just what I was asking for. Thanks

There is a large library of mathematics formalized in lean called mathlib. There are graphs for the module dependencies, but I haven't seen any at the level of definitions (including lemmas and theorems).