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The math library of Lean 4

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This PR is part of the effort to prove the Freyd-Mitchell embedding theorem. --- [![Open in Gitpod](https://gitpod.io/button/open-in-gitpod.svg)](https://gitpod.io/from-referrer/)

awaiting-review
t-category-theory
new-contributor

This PR defines the composite of two heterogeneous vertex operators as a heterogeneous vertex operator, using iterated Hahn series. Composite vertex operators appear in some definitions of vertex algebras. Additional...

awaiting-review
t-algebra

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awaiting-review

This seems like a reasonable thing to split out, and it also makes `Associated.lean` not depend on as much order theory. --- [![Open in Gitpod](https://gitpod.io/button/open-in-gitpod.svg)](https://gitpod.io/from-referrer/)

awaiting-review
merge-conflict

This PR unifies the definitions of the categories `CompHaus`, `Profinite`, `Stonean`, and `LightProfinite` by defining a structure `CompHausLike P` depending on a predicate `P` on topological spaces. Many of the...

blocked-by-other-PR
awaiting-review
merge-conflict
t-category-theory
t-topology

--- - [ ] depends on: #12915 [![Open in Gitpod](https://gitpod.io/button/open-in-gitpod.svg)](https://gitpod.io/from-referrer/)

awaiting-review
t-order

This PR contains mainly the following two equivalences: ```lean def nonZeroDivisorsUnitsEquiv (α : Type*) [MonoidWithZero α] : (α⁰)ˣ ≃* αˣ ``` and ```lean def AssociatesNonZeroDivisorsMulEquiv (α : Type*) [CommMonoidWithZero α]...

WIP
merge-conflict
t-algebra

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

merge-conflict
new-contributor

This conribution adds a distinct notion of a (non-Hausdorff) completely normal space, and disintangles relevant results that do not require Hausdorff. --- [![Open in Gitpod](https://gitpod.io/button/open-in-gitpod.svg)](https://gitpod.io/from-referrer/)

awaiting-review
merge-conflict
t-topology
new-contributor