mathlib

Visualizing the network of math theories.

A formal verification of Linear PCP SNARKs.

The Math Algorithm

Riemann Hypothesis in Lean

The Lean Financial Mathematics Library

Tensor-network theory, formalized in Lean 4: the fundamental theorem of matrix product states, canonical forms, parent Hamiltonians, matrix-product density operators, and projected entangled pair states, building on the QICLean quantum-information library

Distributed, objective-led control plane for Lean 4 formalization projects.

The intent of this repository is to build a database of control theoretic proofs in lean.

OpenATP is an open-source Python package providing a common interface for Automated Theorem Proving (ATP)

A Lean 4 library for formal linguistics.

A Lean 4 + Mathlib proof service for the agent working on your code

HOA (Humanfia Olympiad Agents): PutnamBench and olympiad problems (IMO, IOI, IPhO, IChO, IBO) solved by agents, checked in Lean 4 where possible

Trusted AI mathematics workbench: ProblemContract to Attempt to verified proof/counterexample bundles with SymPy and Lean evidence gates.

From Chirality to the Standard Model. Paper, LaTeX source, and an executable notebook with exact verification and Lean proofs.

The open workbench for AI safety, made formal. Turn safety questions into machine-checked Lean proofs — a shared launchpad where researchers and AI agents build provable safety together.

C library to work with complex numbers.

Lean4 kernel for synthetic formalization and discovery of statistical learning theory. First and complete formalization of the 5 way fundamental theorem. Typed premise + human-guided, AI-driven proof search across PAC, online, and Gold paradigms. The infrastructure forced by the types produced original mathematics.

Lean 4 formalization of Leray–Hopf weak solution existence for the three-dimensional incompressible Navier–Stokes equations.

Interactive Lean 4 + Mathlib formalization from a Claude Code conversation

Quantum information and channels, formalized in Lean 4: quantum states and entanglement theory, channel representations, Kadison-Schwarz theory, quantum Perron-Frobenius and spectral theory, GKSL semigroups, and entropy, following Wolf's Quantum Channels & Operations