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The math library of Lean 4

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This PR contains a linter for flagging doc-string-less `theorem`s, as well as a bash script that, once the linter ran on Mathlib, automatically replaces every linter-offending `theorem` by `lemma`. ---...

As [reported on Zulip](https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/missing.20doc.20of.20.60.23check_failure.60/near/434466058), the `#help` command is out of date with respect to the parsers that can be obscuring the search for the "first token", used to power the...

awaiting-author

Variant of `prod_Ioc_succ_top` and `prod_Ico_succ_top`. --- [![Open in Gitpod](https://gitpod.io/button/open-in-gitpod.svg)](https://gitpod.io/from-referrer/)

awaiting-review
easy

--- - [ ] depends on: #13004 - [ ] depends on: #13011 - [ ] depends on: #13012 [![Open in Gitpod](https://gitpod.io/button/open-in-gitpod.svg)](https://gitpod.io/from-referrer/)

WIP
blocked-by-other-PR
t-category-theory

Given a functor `F : C ⥤ D` between categories equipped with Grothendieck topologies, the condition that `F` preserves covers (developed in the file `CategoryTheory.Sites.CoverPreserving`) does not obviously imply that...

blocked-by-other-PR
t-category-theory

In this PR, we show that a Grothendieck topology on a category `C` (with `C : Type u` and `[Category.{v} C]`) is (obviously) generated by 1-hypercovers of size `max u...

blocked-by-other-PR
t-category-theory

`Algebra/Module/FinitePresentation.lean` is now fully universe polymorphic. This had the side effect of somehow breaking `RingTheory/Flat/EquationalCriterion.lean`, even though I didn't even touch that file. Should I even be trying to do...

WIP
blocked-by-other-PR
RFC
t-algebra

Add the theorem `pathGraph_G_Hom_coloring` saying that if a graph has a homorphism from a pathGraph then the colors alternate in the path. Specifically, the theorem ask for the first element...

WIP
t-combinatorics
new-contributor

--- - [ ] depends on: #12597 [![Open in Gitpod](https://gitpod.io/button/open-in-gitpod.svg)](https://gitpod.io/from-referrer/)

awaiting-review
t-algebra
tech debt

--- [![Open in Gitpod](https://gitpod.io/button/open-in-gitpod.svg)](https://gitpod.io/from-referrer/)

awaiting-review
easy
t-analysis
tech debt