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https://github.com/mo271/mathlibsynergies
Materials for the hands-on Lean session during the [Combinatorial Coworkspace 2024](https://www.combinatorial-cowork.space/)
https://github.com/mo271/mathlibsynergies
Last synced: 18 days ago
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Materials for the hands-on Lean session during the [Combinatorial Coworkspace 2024](https://www.combinatorial-cowork.space/)
- Host: GitHub
- URL: https://github.com/mo271/mathlibsynergies
- Owner: mo271
- License: apache-2.0
- Created: 2024-03-01T13:38:19.000Z (10 months ago)
- Default Branch: main
- Last Pushed: 2024-03-21T12:55:19.000Z (9 months ago)
- Last Synced: 2024-10-16T08:50:03.822Z (2 months ago)
- Language: Lean
- Size: 24.4 KB
- Stars: 0
- Watchers: 2
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
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README
# MathlibSynergies
Materials for the hands-on Lean session during the [Combinatorial Coworkspace 2024](https://www.combinatorial-cowork.space/)
## Abstract
[Lean](https://lean-lang.org/) is a language based on [dependent type theory](https://en.wikipedia.org/wiki/Dependent_type), which can be used to express formal proofs. Its most extensive mathematical library, [mathlib](https://leanprover-community.github.io/index.html), contains many theorems and definitions and theorems from various areas of math.
The plan for this hands-on session:
- Understand why it might be beneficial to use a theorem prover and how it works.
- Demo the current capabilities of Lean/mathlib and its ecosystem.
- Get you hands dirty by trying it out yourself: you'll have the opportunity to prove a lemma!
## Prerequisites
We don't assume any familiarity with Lean/mathlib.
However, you will need some way to run Lean on your computer.
There are different options:
- *The best way*: [Install lean on your computer](https://leanprover-community.github.io/get_started.html)
- *The fast way*: [Try lean online](https://live.lean-lang.org/)
- *Another way*: [Use gitpod](https://gitpod.io/new/#/https://github.com/mo271/MathlibSynergies)
If you are new to Lean/mathlib, a fun way to begin is by playing the [the natural number game](https://adam.math.hhu.de/)!
In order to start with the files in this repo, you install lean on your computer (see link above)
you clone this repo and run
```shell
lake exe cache get
lake build
code .
```
The last step only opens vscode in case you want to use that.
## Resources
Docs, Tutorials, search engines
- [mathlib4 documentation](https://leanprover-community.github.io/mathlib4_docs/)
- [Mathematics in Lean tutorial](https://leanprover-community.github.io/mathematics_in_lean/)
- [Moogle: Semantic search over mathlib4](https://www.moogle.ai/)
- [Loogle searches of Lean and Mathlib definitions and theorems.](https://loogle.lean-lang.org/)
- [abbreviations.json](https://github.com/leanprover/vscode-lean4/blob/master/vscode-lean4/src/abbreviation/abbreviations.json) for a list of symbols one can get by typing `\` in vscode.
Example projects:
- [The Polynomial Freiman-Ruzsa Conjecture](https://teorth.github.io/pfr/) [blueprint](https://teorth.github.io/pfr/blueprint/)
- [Sphere eversion](https://leanprover-community.github.io/sphere-eversion/) [blueprint](https://leanprover-community.github.io/sphere-eversion/blueprint/index.html)
- [Prime number theorem](https://github.com/AlexKontorovich/PrimeNumberTheoremAnd/), [blueprint](https://alexkontorovich.github.io/PrimeNumberTheoremAnd/web/)
- Your next project here!