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@UniMath Univalent Mathematics

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    22 repositories

    • agda-unimath

      Public
      The agda-unimath library
      category-theorygraph-theoryspeciestreesgroup-theorynumber-theorycommutative-algebrahomotopy-type-theoryunivalent-foundationsfinite-groups
      Agda
      •
      MIT License
      •92•283•140•98•Updated Feb 8, 2026Feb 8, 2026

    • live

      Public
      HTML
      •2•2•0•0•Updated Feb 3, 2026Feb 3, 2026

    • SymmetryBook

      Public
      This book will be a textbook written in the univalent style, taking advantage of the presence of symmetry in the logic at an early stage.
      HTML
      •
      Creative Commons Attribution Share Alike 4.0 International
      •26•439•71•5•Updated Jan 22, 2026Jan 22, 2026

    • UniMath

      Public
      This rocq library aims to formalize a substantial body of mathematics using the univalent point of view.
      coqmathematicscoq-libraryfoundationsunimathrocqrocq-library
      Rocq Prover
      •
      Other
      •188•1k•140•11•Updated Jan 21, 2026Jan 21, 2026

    • Computability

      Public
      Rocq Prover
      •1•6•0•0•Updated Jul 6, 2025Jul 6, 2025

    • largecatmodules

      Public
      Large category of modules over monads on top of UniMaths and Display category
      Coq
      •8•12•7•0•Updated Jun 6, 2025Jun 6, 2025

    • SetHITs

      Public
      Coq
      •5•9•4•0•Updated Jun 2, 2025Jun 2, 2025

    • Schools

      Public
      Coq
      •25•94•2•0•Updated Apr 19, 2025Apr 19, 2025

    • GrpdHITs

      Public
      Coq
      •4•7•1•0•Updated Apr 12, 2025Apr 12, 2025

    • TypeTheory

      Public
      The mathematical study of type theories, in univalent foundations
      Coq
      •25•118•13•1•Updated Feb 15, 2025Feb 15, 2025

    • unimath.github.io

      Public
      Various websites
      HTML
      •1•3•0•0•Updated Aug 8, 2024Aug 8, 2024

    • UniMath-jsCoq

      Public
      UniMath in jsCoq
      HTML
      •1•2•0•0•Updated Nov 9, 2023Nov 9, 2023

    • Contrib

      Public
      Coq
      •5•1•0•0•Updated Jun 26, 2023Jun 26, 2023

    • opam-repository

      Public
      This repository makes it easy to build and install UniMath using opam.
      1•3•0•0•Updated Dec 11, 2017Dec 11, 2017

    • ICMS2016UniMath.github.io

      Public
      A webpage Vladimir made for a conference.
      HTML
      •1•0•0•0•Updated Aug 14, 2016Aug 14, 2016

    • lBsystems

      Public
      Voevodsky's work on B-systems, transferred from his github account
      Coq
      •2•3•0•0•Updated Feb 28, 2016Feb 28, 2016

    • lCsystems

      Public
      Voevodsky's work on C-systems, transferred from his github account
      Coq
      •2•3•0•0•Updated Apr 7, 2015Apr 7, 2015

    • book

      Public
      A textbook on informal homotopy type theory -- Vladimir's fork, retained because there is a pull request based on it.
      TeX
      •375•11•0•0•Updated Feb 28, 2015Feb 28, 2015

    • 2006_03_Homotopy_lambda_calculus

      Public
      Voevodsky's 2006 paper on homotopy lambda calculus
      3•15•0•0•Updated Jan 11, 2015Jan 11, 2015

    • Foundations

      Public
      Voevodsky's original development of the univalent foundations of mathematics in Coq
      Coq
      •22•246•0•0•Updated Sep 10, 2014Sep 10, 2014

    • Universe_Polymorphic_Type_System

      Public
      Voevodsky's notes from the summer of 2012 on a design of a universe polymorphic type system with Tarski universes
      4•9•0•0•Updated Jun 15, 2014Jun 15, 2014

    • old_notes_on_type_systems

      Public
      Voevodsky's notes on type systems. This version contains more material than the one on his website.
      3•7•0•0•Updated Jun 15, 2014Jun 15, 2014