There are 4 repositories under formal-proofs topic.
Lean 3's obsolete mathematical components library: please use mathlib4
十分钟魔法练习
The Principia Rewrite
Variations on Kirby & Paris' hydra battles and other entertaining math in Coq (collaborative, documented, includes exercises) [maintainer=@Casteran]
Formalized quantum computing in Lean theorem prover
IsarMathLib is a library of formalized mathematics for Isabelle/ZF.
Experiments with interactive theorem provers, LLMs and formal systems
Metamath-lamp (Lite Assistant for Metamath Proofs) is a GUI-based proof assistant for creating formal mathematical proofs in Metamath that does not require installation (just run it directly using your web browser).
An exhaustive condensed detachment formal proof generator for Hilbert systems in proof theory.
A library of formalized automaton algorithms
Repository hosting resources for the "Lean Tutorial in Vienna" at TU Wien from September 18 to 20, 2024.
some simple&naive formal proof of trivial Number Theory, using Agda/Coq, just to practice skills
Library for formalizing cryptography proofs in Lean 3 (Deprecated)
CafeOBJ proof of Key Secrecy of PACE with OTS/CafeOBJ.
Local mirror of Featherweight OCL entry of the Archive of Formal Proofs (AFP).
A formalised proof of Fermat's Last Theorem for exponent 3 in the Lean proof assistant.
matroids in lean
A formal verification of a mathematics/combinatorics paper "On the Erdős-Tuza-Valtr Conjecture"
An implementation of Algorithm W in Idris with a complete proof
Paxos algorithm specified and proved in TLA+/PlusCal, with separate processes and invariants for proposers and acceptors.
A Formalization of Martingales using Isabelle/HOL
Ongoing Lean formalisation of the proof of Fermat's Last Theorem
An exploration of fumulas in Agda—a new perspective on ring theory