lean4

Lean 4 programming language and theorem prover

The math library of Lean 4

A library of enterprise-grade AI agents designed to democratize artificial intelligence and provide free, open-source alternatives to overvalued Y Combinator startups.

LLMs as Copilots for Theorem Proving in Lean

A collection of formalized statements of conjectures in Lean.

Plan, apply and roll back changes to a production ontology, with a blast radius report and a proof an auditor can re-check.

Tool for data extraction and interacting with Lean programmatically.

Unified Rust framework for building, verifying, and testing web apps. Kernel-based architecture for Lean 4 verification and GPU acceleration. Built-in red-teaming tools for automated vulnerability detection.

Observer Patch Holography: finite observer consensus, machine-checked mathematics and reproducible models for reconstructing physical structure.

Neovim support for the Lean theorem prover

Server to host Lean games

Lean theorem proving interface which feels like pen-and-paper proofs.

Scientific computing in Lean 4

Lean Theorem Prover MCP

Topological Fixed-Point Theory: a machine-checked discrete compiler for the Standard Model, α⁻¹, and cosmology from two axioms. Papers, verification suite (Python/Wolfram/Lean), experiments & website.

The "batteries included" extended library for the Lean programming language and theorem prover

White-box automation for Lean 4

Natural Number Game

Lecture notes for a course on writing proofs, on paper and in the Lean proof assistant

Formally Verified Arguments of Knowledge in Lean