Much of this section will be dumped at Section "Website front-end for a mathematical formal proof system" instead.
If Ciro Santilli ever becomes rich, he's going to solve this with: website front-end for a mathematical formal proof system, promise.
A more verbose description of this at: Section "Website front-end for a mathematical formal proof system".
The website was dead as of February 2025. Last archive: web.archive.org/web/20240418004442/http://www.themathgenome.com/ Pings:They were seeking help on May 2024:
so its likely the followup death. LinkedIn post gives basic stack: MERN stack, Heroku, Supabase/MongoDB Atlas.
A discussion on the Lean Zulip: leanprover.zulipchat.com/#narrow/stream/113488-general/topic/The.20Math.20Genome.20Project/near/352639129. Lean people are not convinced about the model in general it seems however.
TODO not viewable without login?
Has conjectures feature.
Built by this dude John Mercer:He must be independently wealthy or something to do such a project? What a hero. But he seems to have jobs. On the side? Hardcore.
Ciro Santilli asked: discord.com/channels/1096393420408360989/1096393420408360996/1137047842159079474Owner:So apparently there will be proof checking, but no dependencies between proofs, you still have to pull request everything back and face the pain.
Does the website actually automatically check the formal proofs, or is this intended to be implemented at some point? And if yes, is it intended to allow proofs to depend on other proofs of the website (possibly by other people)
Hi Ciro, yes we will be releasing in-browser proof assistant environments/checkers (e.g. Lean). Our goal is not to replace the underlying open-source repos (e.g. Mathlib) so the main dependency will be on the current repos; then when statement formalizations and proofs come in and are certified they can be PR'd to the respective repos. So we will be the source of truth for the informal latex code but only a stepping stone and orchestration layer on the way to the respective formal libraries.
Bibliography:
Source code:
- github.com/leanprover/lean4 why a separate repo per version... but it is what it is.
- github.com/leanprover/lean
They are huge fans of Unicode characters! Check this out from a formal proof of the prime number theorem: github.com/AlexKontorovich/PrimeNumberTheoremAnd/blob/fbdbb5310d036d33b9797b35f3b04b08f2447a6e/PrimeNumberTheoremAnd/ZetaBounds.lean
Their dependency graph thingy is just beautiful however: alexkontorovich.github.io/PrimeNumberTheoremAnd/web/dep_graph_document.html
From CLI:Then when you run:it downloads the
curl https://elan.lean-lang.org/elan-init.sh -sSf | sh
source $HOME/.elan/envleanlean executable for you. Insane shit, could only come from a Microsoft mindset.This tutorial has the merit of actually trying you to do some meaningful mathematics before teaching you a billion items of syntax and dependent type theory nuances.
Here is a specific minimal example of how to use mathlib4: proofassistants.stackexchange.com/questions/2526/how-to-run-lean4-with-mathlib-manually/5299#5299
This used to have the best name ever allowing you to say:to English speakers and watch their faces drop.
This will never work but OK. New custom language after Lean.
It seems to implement Zermelo-Fraenkel set theory.
Articles by others on the same topic
There are currently no matching articles.