mathlib4

This is a complete port of mathlib to Lean 4. Development of mathlib now takes place in this repository.

Mathlib is a user maintained library for the Lean theorem prover. 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, mathlib, and supporting tools on our website.

Experimenting

Got everything installed? Why not start with the tutorial project?

For more pointers, see Learning Lean.

Documentation

Besides the installation guides above and Lean's general documentation, the documentation of mathlib consists of:

The mathlib4 docs: documentation generated automatically from the source .lean files.
A description of currently covered theories, as well as an overview for mathematicians.
Some extra Lean documentation not specific to mathlib (see "Miscellaneous topics")
Documentation for people who would like to contribute to mathlib

Much of the discussion surrounding mathlib occurs in a Zulip chat room, and you are welcome to join, or read along without signing up. Questions from users at all levels of expertise are welcome! We also provide an archive of the public discussions, which is useful for quick reference.

Transitioning from Lean 3

For users familiar with Lean 3 who want to get up to speed in Lean 4 and migrate their existing Lean 3 code we have:

A survival guide for Lean 3 users
Instructions to run mathport on a project other than mathlib. mathport is the tool the community used to port the entirety of mathlib from Lean 3 to Lean 4.

Contributing

The complete documentation for contributing to mathlib is located on the community guide contribute to mathlib

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 by introducing yourself, providing your GitHub handle and what contribution you are planning on doing. You may want to subscribe to the mathlib4 stream

To obtain precompiled olean files, run lake exe cache get. (Skipping this step means the next step will be very slow.)
To build mathlib4 run lake build.
To build and run all tests, run make.
You can use lake build Mathlib.Import.Path to build a particular file, e.g. lake build Mathlib.Algebra.Group.Defs.

If you added a new file, run the following command to update Mathlib.lean

find Mathlib -name "*.lean" | env LC_ALL=C sort | sed 's/\.lean//;s,/,.,g;s/^/import /' > Mathlib.lean

Guidelines

Mathlib has the following guidelines and conventions that must be followed

Downloading cached build files

You can run lake exe cache get to download cached build files that are computed by mathlib4's automated workflow. If tar terminates with an error, it means that you might have ended up with corrupted files. In this case, run lake exe cache get! to overwrite them (get won't try to download the same file again).

Call lake exe cache to see its help menu.

Building HTML documentation

Building HTML documentation locally is straightforward, but it may take a while:

lake -Kdoc=on build Mathlib:docs

The HTML files can then be found in build/doc.

Dependencies

If you are a mathlib contributor and want to update dependencies, use lake update -Kdoc=on. This will update the lake-manifest.json file correctly. You will need to make a PR after committing the changes to this file.

Using `mathlib4` as a dependency

Please refer to https://github.com/leanprover-community/mathlib4/wiki/Using-mathlib4-as-a-dependency

Maintainers:

For a list containing more detailed information, see https://leanprover-community.github.io/teams/maintainers.html

Anne Baanen (@Vierkantor): algebra, number theory, tactics
Matthew Robert Ballard (@mattrobball): algebra, algebraic geometry, category theory, performance
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
Anatole Dedecker (@ADedecker): topology, functional analysis, calculus
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
Jireh Loreaux (@j-loreaux): analysis, topology, operator algebras
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
Joël Riou (@joelriou): category theory, homology, algebraic geometry
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

dmitris/mathlib4