An introductory course to Homotopy Type Theory

A formalization of geometry in Coq based on Tarski's axiom system

LeanEuclid is a benchmark for autoformalization in the domain of Euclidean geometry, targeting the proof assistant Lean.

The Symbolic, Mechanized, Observable, Operational SHell: an executable formalization of the POSIX shell standard.

Formalising Type Theory in a modular way for translations between type theories

[ICML2026] The first comprehensive Lean 4 formalization of statistical learning theory, featuring Gaussian Lipschitz concentration and Dudley's entropy integral-establishes a reusable foundation for formalizing ML theory.

Formalization of the Millennium Problems in Lean 4

Formalization of the polymorphic lambda calculus and its parametricity theorem

Deciding Presburger arithmetic in agda

Formalization of Gröbner basis theory in Lean4 (WIP)

Two-Level Type Theory

🧊 An indexed construction of semi-simplicial and semi-cubical sets

Official repository of the Autosubst 2 project.

Formalization of "Analysis I" by Terence Tao

A curated list of awesome interactive theorem prover frameworks

The Agda Universal Algebra Library (UALib) is a library of types and programs (theorems and proofs) that formalizes the foundations of universal algebra in dependent type theory using the Agda proof assistant language.

Command-Line Normalizer, Rewriter, and Dataizer of 𝜑-Calculus Expressions

Linear algebra formalization in Agda

Formalization of some elementary mathematical theories in Coq