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Lean (proof assistant): History & Products

Lean is a proof assistant and a functional programming language. It is based on the calculus of constructions with inductive types, the foundational type theory developed with the Coq theorem prover, which was renamed to Rocq in 2024. It is a free and open-source software project hosted on GitHub. Development is currently supported by the nonprofit Lean…

Language: English [EN]
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Lean (proof assistant) topic overview

The analysis highlights History and Products as prominent areas in the source structure around Lean (proof assistant).

Related topics
65
Source areas
4
Connected nodes
69
Extracted relationships
23
Related term clusters
32
Bridge connections
69

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 25 topics
Usage · 18 topics
History · 14 topics
Examples (Lean 4) · 8 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Key facts & relationships

High-confidence facts extracted from structured source data. Use them as anchors for further research.

Designed by
Leonardo de Moura
Developer
Lean FRO
Family
Proof assistant
First appeared
2013; 13 years ago (2013)
Implementation language
Lean, C++
License
Apache Software License 2.0

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Lean (proof assistant)
10Proof assistant · Functional programming · Programming language
3Leonardo de Moura · Microsoft Research · Amazon Web Services
6Visual Studio Code · Neovim · Emacs
7Anthropic · Claude (AI) · Fermat's Last Theorem

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

History

Examples (Lean 4)

Usage

For the semantics nerds

You can skip this section if you’re here for content ideas and keyword inspiration.

Advanced semantic analysis

How Lean (proof assistant) connects Entity context

The extracted context around Lean (proof assistant) shows recurring relationship patterns in the source. For example, Lean (proof assistant) → Leonardo de Moura Another extracted example is Lean (proof assistant) → Lean FRO. Use these groups to spot repeated connection types before inspecting the individual relationships.

Lean (proof assistant)

Top relations

Designed by · 1
Lean (proof assistant) → Leonardo de Moura
Developer · 1
Lean (proof assistant) → Lean FRO
Family · 1
Lean (proof assistant) → Proof assistant
First appeared · 1
Lean (proof assistant) → 2013; 13 years ago (2013)
Implementation language · 1
Lean (proof assistant) → Lean, C++
License · 1
Lean (proof assistant) → Apache Software License 2.0
OS · 1
Lean (proof assistant) → Cross-platform: Linux, macOS, Windows
Paradigm · 1
Lean (proof assistant) → Strict purely functional, dependently typed
Platform · 1
Lean (proof assistant) → x86-64, AArch64
Stable release · 1
Lean (proof assistant) → 4.35.0 / 12 October 2026; 27 days ago (12 October 2026)

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

lean proof theorem project research mathematics physics software ai using type language code mathlib library fro mathematical buzzard programming developed

Lean (proof assistant) relationships Subject–Predicate–Object triples

TTTA extracted 23 structured relationships around Lean (proof assistant). Examples in this analysis include Lean (proof assistant) → Designed by → Leonardo de Moura and Lean (proof assistant) → Developer → Lean FRO. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Lean (proof assistant)Designed byLeonardo de Moura1.00infobox
Lean (proof assistant)DeveloperLean FRO1.00infobox
Lean (proof assistant)FamilyProof assistant1.00infobox
Lean (proof assistant)First appeared2013; 13 years ago (2013)1.00infobox
Lean (proof assistant)Implementation languageLean, C++1.00infobox
Lean (proof assistant)LicenseApache Software License 2.01.00infobox
Lean (proof assistant)OSCross-platform: Linux, macOS, Windows1.00infobox
Lean (proof assistant)ParadigmStrict purely functional, dependently typed1.00infobox
Lean (proof assistant)Platformx86-64, AArch641.00infobox
Lean (proof assistant)Stable release4.35.0 / 12 October 2026; 27 days ago (12 October 2026)1.00infobox
Lean (proof assistant)Typing disciplinestatic, strong, inferred1.00infobox
Lean (proof assistant)Websitelean-lang.org1.00infobox

Related concept clusters Related term clusters

The concept neighborhoods around Lean (proof assistant) bring nearby vocabulary together. In this analysis, examples include Proof, Theorem and Code. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Lean (proof assistant)
    • Proof
    • Theorem
    • Code
    • Ai
    • Imperial
    • Mathematics
    • Buzzard
    • Mathlib
    • Research
    • Fro
    • Model
    • Programming
  • lean (proof assistant)
    • Proof
    • Theorem
    • Code
    • Ai
    • Imperial
    • Mathematics
    • Theorems
    • Used
    • Buzzard
    • Mathlib
    • Software
    • Research
  • wiles's proof of fermat's last theorem
    • Imperial
    • Model
    • Buzzard
    • Proof
    • Theorem
    • Code
    • Type
    • Theorems
    • Used
    • Mathlib
    • Software
    • Research
  • examples (lean 4)
    • Proof
    • Theorem
    • Code
    • Ai
    • Mathematics
    • Mathlib
    • Research
    • Fro
    • Model
    • Programming
    • Released
    • Language
  • functional programming
    • Language
    • Programming
    • Coq
    • De
    • Moura
    • Rocq
    • Also
    • Designed
    • Developed
    • Fro
    • System
    • Proof
  • programming language
    • Programming
    • Type
    • De
    • Moura
    • Coq
    • Rocq
    • Also
    • Designed
    • System
    • Proof
    • Developed
    • Fro
  • meta ai
    • Software
    • Mathematics
    • Lean
    • De
    • Github
    • Moura
    • Designed
    • Fro
    • Model
    • Natural
    • Programming
    • System
  • claude (ai)
    • Software
    • Mathematics
    • Lean
    • De
    • Github
    • Moura
    • Designed
    • Fro
    • Model
    • Natural
    • Programming
    • System

Connections between topic areas Semantic bridges

For Lean (proof assistant), one of the stronger structural bridges in this analysis connects Lean (proof assistant) with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Lean (proof assistant) — Overview · splits 44 ⟂ 26
Lean (proof assistant) — Usage · splits 51 ⟂ 19
Lean (proof assistant) — History · splits 55 ⟂ 15
Lean (proof assistant) — Examples (Lean 4) · splits 61 ⟂ 9

Map overview Semantic statistics

Lean (proof assistant)

Nodes70
Edges69
Triples23
Avg. degree1.97
Density0.028571
Components1

Source & methodology

TTTA analyzes the structure around Lean (proof assistant) to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as History & Products, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Lean (proof assistant) · EN edition · Analysis: TopicsToTalkAbout

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