Beyond Mathlib

The Lean research ecosystem, in one directory.

Browse 636 source-backed Lean ecosystem records from curated repositories and a pinned Reservoir snapshot. Exact Therefore declaration coverage is labelled separately from package and repository discovery.

Reservoir index b6ac225af74c backs 600 directory records. Provider metadata is discovery evidence, not proof verification or authorship.

600 of 636 projects

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Package metadataLean library

discretion

Utilities for formalizing programming languages in Lean 4, along with other tidbits

Declarations not yet indexedLean 4.20.0-rc5

Pinned Reservoir package record · checked 2026-07-25

Lean package
Package metadataProof corpus

ArtinWedderburn

A formalized proof of Artin-Wedderburn theorem in Lean4

Declarations not yet indexedLean 4.14.0-rc2

Pinned Reservoir package record · checked 2026-07-25

Math
Package metadataTeaching project

msri2023_graphs

Repository for graph theory & combinatorics group at the MSRI Lean summer school

Declarations not yet indexedLean nightly-2023-06-10

Pinned Reservoir package record · checked 2026-07-25

Lean package
Package metadataProof corpus

pol

Proof of Lean: Formalizing Blockchain Fundamentals in Lean

Declarations not yet indexedLean 4.22.0-rc3

Pinned Reservoir package record · checked 2026-07-25

Lean package
Package metadataLean tool

sos

A Lean 4 sum-of-squares tactic for nonlinear real arithmetic.

Declarations not yet indexedLean 4.31.0

Pinned Reservoir package record · checked 2026-07-25

MathReal ArithmeticSoftware VerificationTactic
Package metadataLean library

Dcc

The dependently-typed combinator calculus (DCC).

Declarations not yet indexedLean 4.30.0-rc2

Pinned Reservoir package record · checked 2026-07-25

Lean package
Package metadataLean library

foam

geometry of hospitality

Declarations not yet indexedLean 4.31.0

Pinned Reservoir package record · checked 2026-07-25

Lean package
Package metadataLean library

Koch

Koch 2D snowflake generator for 4D Golf

Declarations not yet indexedLean 4.7.0

Pinned Reservoir package record · checked 2026-07-25

Lean package
Package metadataLean library

HigherCategoryTheory

A formal verification project based on the work by Enric Cosme Llópez on "Higher-order categories".

Declarations not yet indexedLean 4.28.0

Pinned Reservoir package record · checked 2026-07-25

Math
Package metadataLean library

Game

Abstract Algebra Game

Declarations not yet indexedLean 4.28.0

Pinned Reservoir package record · checked 2026-07-25

Lean package
Package metadataProof corpus

legendre_QF

Lean code formalizing a proof of Legendre's theorem on diagonal ternary quadratic forms

Declarations not yet indexedLean 4.31.0

Pinned Reservoir package record · checked 2026-07-25

Lean package
Package metadataProof corpus

SpectralPositivity

Perron-Frobenius, Jentzsch theorem, and matrix/operator positivity in Lean 4

Declarations not yet indexedLean 4.30.0

Pinned Reservoir package record · checked 2026-07-25

Math
Package metadataLean library

langlib

Library for formal language theory in Lean 4

Declarations not yet indexedLean 4.28.0

Pinned Reservoir package record · checked 2026-07-25

Lean package
Package metadataLean library

pacioli

A verified core of accounting mechanics in Lean 4, paired with curated accounting judgment in the Open Knowledge Format (OKF).

Declarations not yet indexedLean 4.32.0

Pinned Reservoir package record · checked 2026-07-25

Lean package
Package metadataProof corpus

Symm

Formalization of a new data structure: Dashed-Monoids

Declarations not yet indexedLean 4.7.0

Pinned Reservoir package record · checked 2026-07-25

Lean package
Package metadataLean library

lean4-base64

RFC 4648 Base64 encoding and decoding for Lean 4

Declarations not yet indexedLean 4.30.0

Pinned Reservoir package record · checked 2026-07-25

Lean package
Package metadataProof corpus

OrdvecFormalization

Lean 4 formalization of finite Bayes-threshold optimality for OrdVec overlap models.

Declarations not yet indexedLean 4.28.0

Pinned Reservoir package record · checked 2026-07-25

Math
Package metadataLean library

SDG

Synthetic Differential Geometry in Lean

Declarations not yet indexedLean 4.30.0-rc2-less-choice

Pinned Reservoir package record · checked 2026-07-25

Lean package