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.

134 of 636 projects

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Package metadataProof corpus

SardMoreira

Formalization of Moreira's version of Sard's Theorem

Declarations not yet indexedLean 4.27.0-rc1

Pinned Reservoir package record · checked 2026-07-25

Math
Package metadataProof corpus

order-p-q

Lean formalisation of the classification of the groups of order p * q where p and q are prime numbers.

Declarations not yet indexedLean 4.15.0

Pinned Reservoir package record · checked 2026-07-25

Math
Package metadataProof corpus

Frucht

Formalization of Frucht's theorem in Lean

Declarations not yet indexedLean 4.29.0-rc4

Pinned Reservoir package record · checked 2026-07-25

Lean package
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leanproject

GitHub repository for the seminar on Computer-assisted mathematics held at the University of Heidelberg during the Summer Semester of 2024.

Declarations not yet indexedLean 4.10.0-rc2

Pinned Reservoir package record · checked 2026-07-25

Computer Algebra SystemFormalizationMathematicsSage
Package metadataProof corpus

MCMC

Formalization of Markov Chain Monte Carlo in Lean 4

Declarations not yet indexedLean 4.29.0

Pinned Reservoir package record · checked 2026-07-25

Lean package
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Redhill

A formalisation of the disproof of Ramaekers's conjecture

Declarations not yet indexedLean 4.33.0-rc1

Pinned Reservoir package record · checked 2026-07-25

Math
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BooleanFun

Formalization project on analysis of Boolean functions in Lean 4, including a proof of Arrow's theorem via Fourier analysis.

Declarations not yet indexedLean 4.16.0-rc2

Pinned Reservoir package record · checked 2026-07-25

Math
Package metadataProof corpus

leanFibredCategories

A Lean4 Formalization of Fibred Categories

Declarations not yet indexedLean 4.4.0-rc1

Pinned Reservoir package record · checked 2026-07-25

Lean package
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MeanFourier

Formalisation of mean Fourier analysis in Lean 4

Declarations not yet indexedLean 4.33.0-rc1

Pinned Reservoir package record · checked 2026-07-25

Harmonic AnalysisMath
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selbergSieve

A formalisation of the Selberg sieve in Lean 4

Declarations not yet indexedLean 4.7.0-rc2

Pinned Reservoir package record · checked 2026-07-25

Lean package
Package metadataProof corpus

flare

Official implementation of "FLARE: Verifying MILP Reformulations with LLM-Based Formal Proof Synthesis"

Declarations not yet indexedLean 4.28.0

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
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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
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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
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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
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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 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 metadataProof corpus

IsTranscendentalPi

Formalization in Lean of the transcendence of π.

Declarations not yet indexedLean 4.30.0-rc2

Pinned Reservoir package record · checked 2026-07-25

Math