Lean
Lean is a functional programming language that makes it easy to write correct and maintainable code. You can also use Lean as an interactive theorem prover. Lean programming primarily involves defining types and functions. This allows your focus to remain on the problem domain and manipulating its data, rather than the details of programming.
- GitHub: https://github.com/topics/lean
- Wikipedia: https://en.wikipedia.org/wiki/Lean_(proof_assistant)
- Repo: https://github.com/leanprover/lean
- Created by: Leonardo de Moura
- Released: 2013
- Aliases: lean3, lean4, leanprover,
- Last updated: 2026-06-28 00:17:22 UTC
- JSON Representation
https://github.com/forked-from-1kasper/leanbot
IRC-bot written in Lean (https://leanprover.github.io/)
Last synced: 24 Feb 2025
https://github.com/TOTBWF/lean4-raytrace
A simple raytracer written in lean
Last synced: 22 Jul 2025
https://github.com/FR-vdash-bot/transcendental
Lindemann–Weierstrass Theorem
Last synced: 22 Jul 2025
https://github.com/seagull-js/seagull
the core of the seagull framework
aws aws-lambda lean react seagull serverless serverless-framework tsx typescript
Last synced: 07 May 2025
https://github.com/anderssorby/nix.lean
Nix expressions and derivations in lean (in development)
Last synced: 03 Nov 2025
https://github.com/pitmonticone/leaninvienna2024
Repository hosting resources for the "Lean Tutorial in Vienna" at TU Wien from September 18 to 20, 2024.
formal-mathematics formal-methods formal-proofs formalisation formalisation-mathematics formalized-mathematics interactive-theorem-proving lean lean4 leanprover logic mathematics proof-assistant research tu-wien tutorial
Last synced: 03 Jan 2026
https://github.com/unitb/temporal-logic
formal-methods formal-proofs lean temporal-logic verification
Last synced: 05 Jan 2026
https://github.com/gihanmarasingha/miu_language
A decision procedure for the formal system MIU, written in Lean 3.18.4
decision-procedure lean leanprover miu
Last synced: 28 Feb 2026
https://github.com/paulcadman/raylean
Lean4 bindings for raylib
games-development lean puns raylib
Last synced: 03 May 2025
https://github.com/kassane/lean4-zig
Zig bindings for Lean4
ffi-bindings lean lean-language lean4 zig ziglang
Last synced: 15 Apr 2025
https://github.com/lean-dojo/leandojowebsite
Code for LeanDojo's website
lean lean4 llm machine-learning theorem-proving
Last synced: 16 Jan 2026
https://github.com/0art0/lean3-statement-translation-tool
A tool for automatic formalisation of natural language theorem statements to Lean3 code using OpenAI Codex.
Last synced: 31 May 2026
https://github.com/arthurpaulino/chrome-lean-unicode
Type Lean unicode characters in your web browser
Last synced: 19 Apr 2025
https://github.com/seasawher/mk-exercise
Simple and intuitive tool to manage exercises in textbooks written in Lean.
Last synced: 30 Jun 2025
https://github.com/jaalonso/calculemus2
Proof exercises in Lean4 and Isabelle/HOL
exercises isabelle-hol lean lean4 math proof-assistant
Last synced: 27 Mar 2025
https://github.com/hanwenzhu/miller-rabin
Miller–Rabin primality test in Lean
lean lean4 primality-test theorem-proving
Last synced: 16 Feb 2026
https://github.com/eric-wieser/lean-graded-rings
A formalization of graded rings in Lean, corresponding to a CICM 2022 submission
cicm formal-mathematics lean mathlib
Last synced: 14 Oct 2025
https://github.com/publications-org/papers
Open Access Publications on Mathematics and Computer Science (https://amlal.nekernel.org)
cs lean math papers publications
Last synced: 27 Jun 2026
https://github.com/stangirard/smallest-possible-product
Lean Development, ROI-Focused Platform. SPP Marketplace: collaborate on minimalist, single-purpose apps for optimized results.
app genai lean llm marketplace product roi small
Last synced: 04 Mar 2025
https://github.com/Lix0120/eudoxus
Formalise Eudoxus reals in lean and prove they form a complete Archimedean ordered field.
Last synced: 22 Jul 2025
https://github.com/lean-ja/lean-by-example
Lean の基本的な構文や機能を紹介するためのサンプルコード集です.
Last synced: 27 Mar 2025
https://github.com/uncomputable/natural-number-game
Reimplementation of Natural Number Game in Coq
coq game lean logic solutions theorem-prover
Last synced: 25 Oct 2025
https://github.com/bdfinst/total-perspective-vortex
Value stream mapping is typically very manual and drawing tools are toilsome. This seeks to semi-automate the process.
cd current-reality-diagram devops lean stream-map value-stream-map
Last synced: 15 Feb 2026
https://github.com/hanwenzhu/primality-tests
Miller–Rabin primality test in Lean
lean lean4 primality-test theorem-proving
Last synced: 22 Apr 2025
https://github.com/Seasawher/mk-exercise
Simple and intuitive tool to manage exercises in textbooks written in Lean.
Last synced: 22 Jul 2025
https://github.com/utensil/ginac-lean
A work-in-progress Lean 4 binding to GiNaC
Last synced: 22 Jun 2025
https://github.com/seasawher/import-all
This script can check and auto-generate `import` statements in a lean4 repository.
Last synced: 13 Feb 2026
https://github.com/bryangingechen/lean-matroids
matroids in lean
formal-mathematics formal-proofs lean matroids theorem-proving
Last synced: 26 Oct 2025
https://github.com/utensil/formal-land
My monorepo for formalization, e.g. Lean, Aya
Last synced: 22 Jun 2025
https://github.com/fgdorais/extra4
Supplements to the Lean 4 Standard Library
Last synced: 23 Jan 2026
https://github.com/jphellemons/leancanvas
Webbased Lean Canvas
brainstorming canvas lean lean-startup lean-startups startup startup-template startups startupschool
Last synced: 19 Apr 2025
https://github.com/keilambda/ttfpi
"Type Theory and Formal Proof: An Introduction" book formalization in Lean
formal-proof formalization lean lean4 type-theory
Last synced: 17 Mar 2026
https://github.com/hagb/lean-groebner
Lean4 formalization of Gröbner basis (WIP)
Last synced: 04 Mar 2025
https://github.com/marcusoftnet/marcusoftnet.github.io
My blog - www.marcusoft.net
agile bdd blog kanban lean node specification-by-example
Last synced: 22 Feb 2026
https://github.com/eric-wieser/mathlib-import-graph
An interactive viewer for the mathlib import graph
Last synced: 14 Jul 2025
https://github.com/namin/leandisco
Eurisko-Inspired Discovery System for Lean in Lean
ai discovery-system lean metaprogramming proofsketcher
Last synced: 17 Mar 2026
https://github.com/hargonix/crup
A Checker for RUP proofs written in Lean 4
Last synced: 22 May 2026
https://github.com/paraseba/conceptual-mathematics-in-lean
Conceptual Mathematics exercises using Lean theorem prover
Last synced: 29 Jul 2025
https://github.com/Seasawher/import-all
This script can check and auto-generate `import` statements in a lean4 repository.
Last synced: 22 Jul 2025
https://github.com/jaalonso/jaalonso.github.io
Índice de repositorios.
coq functional-programming haskell isabelle lean logic-programming prolog proof-assistant
Last synced: 23 Oct 2025
https://github.com/hyperpolymath/echidna
Neurosymbolic theorem proving platform with 12 prover backends
agda coq formal-verification hyperpolymath lean neurosymbolic palimpsest rust starred theorem-prover
Last synced: 07 Apr 2026
https://github.com/echocat/lingress
Lean ingress controller.
golang ingress ingress-controller kubernetes lean simple
Last synced: 12 Apr 2025
https://github.com/horothesun/infra-cookiecutter-template
Bootstrap your Terraform AWS infrastructure.
aws bootstrap bootstrapping ci ci-cd cicd cookiecutter cookiecutter-template github-oidc iac infrastructure infrastructure-as-code initial-setup lean oidc oidc-provider template terraform terraform-aws terraforming
Last synced: 09 Oct 2025
https://github.com/mbrg/lean-tutorial-reference
A newbie's reference solutions to Lean tutorials
dependent-types lean reference theorem-proving type-theory verification
Last synced: 29 Jun 2025
https://github.com/mjendrusch/monoidal-categories-reboot
monoidal categories in the Lean theorem prover
category-theory lean leanprover theorem-proving
Last synced: 23 Jul 2025
https://github.com/jaalonso/calculemus2_es
Ejercicios de demostración con Lean4 e Isabelle/HOL.
lean lean4 maths proof-assistant
Last synced: 16 Feb 2026
https://github.com/brendanzab/lean_tutorial_exercises
Answers to the exercises in the Lean tutorial
dependent-types exercise-solutions lean
Last synced: 16 Jul 2025
https://github.com/zelosleone/lean-theorems
A repository for studying and implementing Lean theorems, focusing on mathematical and philosophical concepts.
euclidean-geometry formal-verification geometry lean lean4 mathematics philosophical-logic philosophical-mathematics real-analysis theorem-proving theorem-provings topology
Last synced: 10 Mar 2026
https://github.com/swathimystery/software-development-philosophy
Rules for software development. A proven methodology.
lean manifesto philosophy software unix
Last synced: 29 Mar 2025
https://github.com/lean-dojo/leanprogress
Guiding Search for Neural Theorem Proving via Proof Progress Prediction
formal-mathematics lean lean4 llm machine-learning progress-prediction proof-search rl theorem-proving
Last synced: 16 Jan 2026
https://github.com/atticuskuhn/proofs-from-the-book
Proofs from THE BOOK by Aigner and Ziegler proved in the Lean proving assistant
formal-verification lean proof proof-assistant
Last synced: 12 Apr 2025
https://github.com/gift-framework/core
GIFT Core: Certified mathematical identities from E8×E8 gauge theory on G2 manifolds. Verified in Lean 4
coq coq-formalization e8 formal-verification g2-holonomy gauge-theory lean lean4 mathematics proof-assistant python
Last synced: 17 May 2026
https://github.com/shilangyu/formal-lang
A formal definition of a language accompanied by proofs of its properties.
formal-verification lean memory-safety programming-language-theory stainless
Last synced: 14 Mar 2025
https://github.com/PaulioRandall/template-sveltekit
A minimalist Sveltekit template with Prettier & P69. Made to be plundered.
lean minimal minimalist mit-license p69 prettier svelte sveltejs sveltekit template vite webapp website
Last synced: 06 Aug 2025
https://github.com/alexf91/ltest
A unit testing framework for Lean 4
lean lean4 unit-testing unittest
Last synced: 22 Sep 2025
https://github.com/pre63/couillard
Couillard is a small trebuchet you aim and launch at your users.
a-b-testing abtesting design-thinking lean user-experience
Last synced: 18 Apr 2026
https://github.com/jaalonso/explorando-con-lean
Explorando formalizaciones con Lean
automated-reasoning interactive-theorem-proving lean math proof-assistant
Last synced: 27 Mar 2025
https://github.com/claby2/axiomatic-set-theory
∃∀ Formalizing Enderton's "Elements of Set Theory" in Lean
Last synced: 17 Feb 2026
https://github.com/spamegg1/spamegg1-lean
Working through Functional Programming in Lean
dependent-types formal-verification functional-programming lean lean4 math proofs
Last synced: 02 Jan 2026
https://github.com/spamegg1/spamegg1-thm-prov-lean4
Working through Theorem Proving in Lean4
dependent-types formal-verification interactive-proofs lean lean4 math proof theorem
Last synced: 29 Oct 2025
https://github.com/inaciovasquez2020/flagship-lean
Lean4 flagship repository for the Unified Rigidity Framework. Canonical module layout, invariant-first design, and CI-stable proof skeletons used across URF projects.
complexity formal-verification invariants lean lean4 logic mathlib proof-assistant rigidity theoretical-computer-science urf
Last synced: 07 Mar 2026
https://github.com/jaalonso/calculemus
Ejercicios de demostración con Lean e Isabelle/HOL.
Last synced: 06 Oct 2025
https://github.com/bhgomes/jensen
a Lean implementation of Jensen's Inequality
jensen-inequality lean lean-theorem-prover leanprover
Last synced: 24 Oct 2025
https://github.com/leantechnologies/link-ios-demo-application
A small demo application that showcases Lean's LinkSDK methods - and practical application of the methods in SwiftUI.
api finance ios lean open-banking sdk
Last synced: 23 Feb 2026
https://github.com/szymonkubica/formalising-mathematics
Formal proofs of mathematical analysis theorems using Lean programming language
Last synced: 25 Jun 2026
https://github.com/jroesch/lean.js
An example of using Lean's backend API to implement a new language backend.
compiler javascript lean programming-language
Last synced: 20 May 2026
https://github.com/verse-lab/veil-usage-example
A template repository with an example of using Veil verifier as a Lean library.
Last synced: 30 Jan 2026
https://github.com/forked-from-1kasper/lambda
Untyped lambda calculus implemented in Lean
Last synced: 24 Feb 2025
https://github.com/andreadlm/master-thesis
A LEAN-certified reversibilization of Meyer-Ritchie LOOP language. Master thesis in computer science.
lean lean4 programming-languages reversible-computation
Last synced: 31 Jan 2026
https://github.com/szepeviktor/lean-filter
Adblock Plus filter
adblock filter lean ublock-origin
Last synced: 18 May 2026
https://github.com/cboone/zhang-yeung-inequality
Lean formalization of the Zhang Yeung inequality
entropy formalisation-mathematics formalization formalized-mathematics information-theory lean lean4 zhang-yeung-inequality
Last synced: 21 Apr 2026
https://github.com/fraware/cta-benchmark
CTA-Bench: research benchmark and toolkit for studying how well systems turn problem descriptions and reference code into Lean 4 proof obligations, and how faithful those obligations are to the intended algorithm.
ai-evaluation autoformalization benchmark evaluation-methodology formal-verification lean program-verification semantic-faithfulness theorem-proving
Last synced: 09 Jun 2026
https://github.com/igreat/tiny-prover
A simple first order logic theorem prover using tableaux
binary-tree coq first-order-logic functional-programming lean logic propositional-logic tableau tableaux theorem-prover theorem-proving
Last synced: 05 May 2026
https://github.com/fractalate/study-munkres-topology
Munkres Topology in Lean
lean lean4 mathematics topology
Last synced: 04 Feb 2026
https://github.com/eric-wieser/divf-2022
CUED division F conference presentation
lean mathlib presentation sympy
Last synced: 26 Mar 2025
https://github.com/sunsided/lean4-playground
Toying around with Microsoft Lean 4
Last synced: 29 Apr 2026
https://github.com/nktkt/leanpp
Kernel-safe upper-compatible proof-engineering layer over Lean 4. spec def, concept, refines, obligations, proofplan, trust ledger.
formal-verification lean lean4 proof-assistant proof-engineering theorem-proving verified-software-engineering
Last synced: 29 Apr 2026
https://github.com/seasawher/lean-quiz-template
Lean でクイズを出題するためのテンプレート. lean_grader を使用して自動採点を行います.開発中.
autograding lean lean4 theorem-prover
Last synced: 30 Jun 2025
https://github.com/dmytruek/aoc2024-lean4
Advent of Code 2024 solutions using Lean4
advent-of-code-2024 adventofcode adventofcode2024 aoc aoc-2024-in-lean aoc-2024-in-lean4 aoc2024 lean lean4
Last synced: 02 Apr 2025
https://github.com/jtb21091/leansixsigma
Lean six sigma app
html js lean lean-six-sigma leansixsigma lss
Last synced: 02 Sep 2025
https://github.com/shilangyu/foundations_of_software_projects
Formalization projects for the Foundation of Software course at EPFL
epfl fos lean lean4 theorem-proving
Last synced: 11 Feb 2026
https://github.com/santoshlite/quantconnectvscode
A Visual Studio theme based on QuantConnect's design
json lean quantconnect theme theme-development vscode
Last synced: 12 May 2026
https://github.com/ejgallego/imp-lab
Lean playground for programming language modeling tooling.
dap formal-methods formal-verification functional-programming lean lean4 lsp tooling ux-research
Last synced: 09 Mar 2026