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# Lean 3's mathlib

> [!WARNING]
> Lean 3 and Mathlib 3 are no longer actively maintained.
> It is strongly recommended that you use [mathlib4](https://github.com/leanprover-community/mathlib4) for Lean 4 instead.
![](https://github.com/leanprover-community/mathlib/workflows/continuous%20integration/badge.svg?branch=master)
[![Bors enabled](https://bors.tech/images/badge_small.svg)](https://app.bors.tech/repositories/24316)
[![project chat](https://img.shields.io/badge/zulip-join_chat-brightgreen.svg)](https://leanprover.zulipchat.com)
[![Gitpod Ready-to-Code](https://img.shields.io/badge/Gitpod-ready--to--code-blue?logo=gitpod)](https://gitpod.io/#https://github.com/leanprover-community/mathlib)

[Mathlib](https://leanprover-community.github.io) is a user maintained library for the [Lean 3 theorem prover](https://github.com/leanprover-community/lean).
It contains both programming infrastructure and mathematics,
as well as tactics that use the former and allow to develop the latter.

## Installation

You can find detailed instructions to install Lean 3, mathlib 3, and supporting tools on [our website](https://leanprover-community.github.io/lean3/get_started.html).

## Experimenting

Got everything installed? Why not start with the [tutorial project](https://leanprover-community.github.io/lean3/install/project.html)?

For more pointers, see [Learning Lean](https://leanprover-community.github.io/lean3/learn.html).

## Documentation

Besides the installation guides above and [Lean's general
documentation](https://leanprover.github.io/lean3/documentation/), the documentation
of mathlib consists of:

- [The mathlib docs](https://leanprover-community.github.io/mathlib_docs): documentation [generated
automatically](https://github.com/leanprover-community/doc-gen) from the source `.lean` files.
In addition to the pages generated for each file in the library, the docs also include pages on:
- [tactics](https://leanprover-community.github.io/mathlib_docs/tactics.html),
- [commands](https://leanprover-community.github.io/mathlib_docs/commands.html),
- [hole commands](https://leanprover-community.github.io/mathlib_docs/hole_commands.html), and
- [attributes](https://leanprover-community.github.io/mathlib_docs/attributes.html).
- A description of [currently covered theories](https://leanprover-community.github.io/theories.html),
as well as an [overview](https://leanprover-community.github.io/lean3/mathlib-overview.html) for mathematicians.
- A couple of [tutorial Lean files](docs/tutorial/)
- Some [extra Lean documentation](https://leanprover-community.github.io/lean3/learn.html) not specific to mathlib (see "Miscellaneous topics")
- Documentation for people who would like to [contribute to mathlib3](https://leanprover-community.github.io/lean3/contribute/index.html)

Much of the discussion surrounding mathlib occurs in a
[Zulip chat room](https://leanprover.zulipchat.com/). Since this
chatroom is only visible to registered users, we provide an
[openly accessible archive](https://leanprover-community.github.io/archive/)
of the public discussions. This is useful for quick reference; for a
better browsing interface, and to participate in the discussions, we strongly
suggest joining the chat. Questions from users at all levels of expertise are
welcomed.

## Contributing

> [!WARNING]
> Contributions are no longer accepted to mathlib 3; contribute to mathlib 4 instead!
The complete documentation for contributing to ``mathlib`` is located
[on the community guide contribute to mathlib](https://leanprover-community.github.io/lean3/contribute/index.html)

The process is different from other projects where one should not fork the repository.
Instead write permission for non-master branches should be requested on [Zulip](https://leanprover.zulipchat.com)
by introducing yourself, providing your GitHub handle and what contribution you are planning on doing.

### Guidelines

Mathlib has the following guidelines and conventions that must be followed

- The [style guide](https://leanprover-community.github.io/lean3/contribute/style.html)
- A guide on the [naming convention](https://leanprover-community.github.io/lean3/contribute/naming.html)
- The [documentation style](https://leanprover-community.github.io/lean3/contribute/doc.html)
- The [commit naming conventions](https://github.com/leanprover-community/lean/blob/master/doc/commit_convention.md)

Note: the title of a PR should follow the commit naming convention.

### Using ``leanproject`` to contribute

Running the ``leanproject get -b mathlib:shiny_lemma`` command will create a new worktree ``mathlib_shiny_lemma``
with a local branch called ``shiny_lemma`` which has a copy of mathlib to work on.

``leanproject build`` will check that nothing broke.
Be warned that this will take some time if a fundamental file was changed.

## Maintainers:

* Anne Baanen (@Vierkantor): algebra, number theory, tactics
* Reid Barton (@rwbarton): category theory, topology
* Riccardo Brasca (@riccardobrasca): algebra, number theory, algebraic geometry, category theory
* Mario Carneiro (@digama0): lean formalization, tactics, type theory, proof engineering
* Bryan Gin-ge Chen (@bryangingechen): documentation, infrastructure
* Johan Commelin (@jcommelin): algebra, number theory, category theory, algebraic geometry
* Rémy Degenne (@RemyDegenne): probability, measure theory, analysis
* Floris van Doorn (@fpvandoorn): measure theory, model theory, tactics
* Frédéric Dupuis (@dupuisf): linear algebra, functional analysis
* Gabriel Ebner (@gebner): tactics, infrastructure, core, formal languages
* Sébastien Gouëzel (@sgouezel): topology, calculus, geometry, analysis, measure theory
* Markus Himmel (@TwoFX): category theory
* Chris Hughes (@ChrisHughes24): algebra
* Yury G. Kudryashov (@urkud): analysis, topology, measure theory
* Robert Y. Lewis (@robertylewis): tactics, documentation
* Heather Macbeth (@hrmacbeth): geometry, analysis
* Patrick Massot (@patrickmassot): documentation, topology, geometry
* Bhavik Mehta (@b-mehta): category theory, combinatorics
* Kyle Miller (@kmill): combinatorics, documentation
* Scott Morrison (@semorrison): category theory, tactics
* Oliver Nash (@ocfnash): algebra, geometry, topology
* Adam Topaz (@adamtopaz): algebra, category theory, algebraic geometry
* Eric Wieser (@eric-wieser): algebra, infrastructure

## Emeritus maintainers:

* Jeremy Avigad (@avigad): analysis
* Johannes Hölzl (@johoelzl): measure theory, topology
* Simon Hudon (@cipher1024): tactics
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> Lean 3 and Mathlib 3 are no longer actively maintained.
> It is strongly recommended that you use [mathlib4](https://github.com/leanprover-community/mathlib4) for Lean 4 instead.
![](https://github.com/leanprover-community/mathlib/workflows/continuous%20integration/badge.svg?branch=master)
[![Bors enabled](https://bors.tech/images/badge_small.svg)](https://app.bors.tech/repositories/24316)
[![project chat](https://img.shields.io/badge/zulip-join_chat-brightgreen.svg)](https://leanprover.zulipchat.com)
[![Gitpod Ready-to-Code](https://img.shields.io/badge/Gitpod-ready--to--code-blue?logo=gitpod)](https://gitpod.io/#https://github.com/leanprover-community/mathlib)

[Mathlib](https://leanprover-community.github.io) is a user maintained library for the [Lean 3 theorem prover](https://github.com/leanprover-community/lean).
It contains both programming infrastructure and mathematics,
as well as tactics that use the former and allow to develop the latter.

## Installation

You can find detailed instructions to install Lean 3, mathlib 3, and supporting tools on [our website](https://leanprover-community.github.io/lean3/get_started.html).

## Experimenting

Got everything installed? Why not start with the [tutorial project](https://leanprover-community.github.io/lean3/install/project.html)?

For more pointers, see [Learning Lean](https://leanprover-community.github.io/lean3/learn.html).

## Documentation

Besides the installation guides above and [Lean's general
documentation](https://leanprover.github.io/lean3/documentation/), the documentation
of mathlib consists of:

- [The mathlib docs](https://leanprover-community.github.io/mathlib_docs): documentation [generated
automatically](https://github.com/leanprover-community/doc-gen) from the source `.lean` files.
In addition to the pages generated for each file in the library, the docs also include pages on:
- [tactics](https://leanprover-community.github.io/mathlib_docs/tactics.html),
- [commands](https://leanprover-community.github.io/mathlib_docs/commands.html),
- [hole commands](https://leanprover-community.github.io/mathlib_docs/hole_commands.html), and
- [attributes](https://leanprover-community.github.io/mathlib_docs/attributes.html).
- A description of [currently covered theories](https://leanprover-community.github.io/theories.html),
as well as an [overview](https://leanprover-community.github.io/lean3/mathlib-overview.html) for mathematicians.
- A couple of [tutorial Lean files](docs/tutorial/)
- Some [extra Lean documentation](https://leanprover-community.github.io/lean3/learn.html) not specific to mathlib (see "Miscellaneous topics")
- Documentation for people who would like to [contribute to mathlib3](https://leanprover-community.github.io/lean3/contribute/index.html)

Much of the discussion surrounding mathlib occurs in a
[Zulip chat room](https://leanprover.zulipchat.com/). Since this
chatroom is only visible to registered users, we provide an
[openly accessible archive](https://leanprover-community.github.io/archive/)
of the public discussions. This is useful for quick reference; for a
better browsing interface, and to participate in the discussions, we strongly
suggest joining the chat. Questions from users at all levels of expertise are
welcomed.

## Contributing

> [!WARNING]
> Contributions are no longer accepted to mathlib 3; contribute to mathlib 4 instead!
The complete documentation for contributing to ``mathlib`` is located
[on the community guide contribute to mathlib](https://leanprover-community.github.io/lean3/contribute/index.html)

The process is different from other projects where one should not fork the repository.
Instead write permission for non-master branches should be requested on [Zulip](https://leanprover.zulipchat.com)
by introducing yourself, providing your GitHub handle and what contribution you are planning on doing.

### Guidelines

Mathlib has the following guidelines and conventions that must be followed

- The [style guide](https://leanprover-community.github.io/lean3/contribute/style.html)
- A guide on the [naming convention](https://leanprover-community.github.io/lean3/contribute/naming.html)
- The [documentation style](https://leanprover-community.github.io/lean3/contribute/doc.html)
- The [commit naming conventions](https://github.com/leanprover-community/lean/blob/master/doc/commit_convention.md)

Note: the title of a PR should follow the commit naming convention.

### Using ``leanproject`` to contribute

Running the ``leanproject get -b mathlib:shiny_lemma`` command will create a new worktree ``mathlib_shiny_lemma``
with a local branch called ``shiny_lemma`` which has a copy of mathlib to work on.

``leanproject build`` will check that nothing broke.
Be warned that this will take some time if a fundamental file was changed.

## Maintainers:

* Anne Baanen (@Vierkantor): algebra, number theory, tactics
* Reid Barton (@rwbarton): category theory, topology
* Riccardo Brasca (@riccardobrasca): algebra, number theory, algebraic geometry, category theory
* Mario Carneiro (@digama0): lean formalization, tactics, type theory, proof engineering
* Bryan Gin-ge Chen (@bryangingechen): documentation, infrastructure
* Johan Commelin (@jcommelin): algebra, number theory, category theory, algebraic geometry
* Rémy Degenne (@RemyDegenne): probability, measure theory, analysis
* Floris van Doorn (@fpvandoorn): measure theory, model theory, tactics
* Frédéric Dupuis (@dupuisf): linear algebra, functional analysis
* Gabriel Ebner (@gebner): tactics, infrastructure, core, formal languages
* Sébastien Gouëzel (@sgouezel): topology, calculus, geometry, analysis, measure theory
* Markus Himmel (@TwoFX): category theory
* Chris Hughes (@ChrisHughes24): algebra
* Yury G. Kudryashov (@urkud): analysis, topology, measure theory
* Robert Y. Lewis (@robertylewis): tactics, documentation
* Heather Macbeth (@hrmacbeth): geometry, analysis
* Patrick Massot (@patrickmassot): documentation, topology, geometry
* Bhavik Mehta (@b-mehta): category theory, combinatorics
* Kyle Miller (@kmill): combinatorics, documentation
* Scott Morrison (@semorrison): category theory, tactics
* Oliver Nash (@ocfnash): algebra, geometry, topology
* Adam Topaz (@adamtopaz): algebra, category theory, algebraic geometry
* Eric Wieser (@eric-wieser): algebra, infrastructure

## Emeritus maintainers:

* Jeremy Avigad (@avigad): analysis
* Johannes Hölzl (@johoelzl): measure theory, topology
* Simon Hudon (@cipher1024): tactics
(If you need to read the old `README.md`, please see `OLD_README.md`.)

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