# UniMath/UniMath

This rocq library aims to formalize a substantial body of mathematics using the univalent point of view.

Repository: https://github.com/UniMath/UniMath
Canonical: https://ross.abutalabs.com/products/unimath
Homepage: http://unimath.org/
Language: Rocq Prover
License: NOASSERTION
License Family: other
Topics: coq, mathematics, unimath, coq-library, foundations, rocq, rocq-library
Last push: 2026-08-07T17:08:33+00:00

## Health v2 (maintenance only)
Score: 82/100 (v2, computed 2026-09-03T02:20:16.233290+00:00)
- activity 96, release rhythm 55, longevity 100
- inputs: {"age_days": 4568, "days_push": 26, "days_rel": 91, "gap_med": 309.0, "n_releases_24m": 3}
- flags: no_license
- formula: round(0.45*activity + 0.35*rhythm + 0.20*longevity); archived -> min(score, 10)

## Adoption (not part of the score)
Stars 1017, forks 187 (observed 2026-08-28T04:03:14.727525+00:00)

## What it is
UniMath is a Rocq (Coq) library that formalizes a substantial body of mathematics using the univalent point of view. It provides formalized foundations, category theory, algebra, and other mathematical structures built on univalent foundations.

## Use cases
- formalize mathematical theorems in a proof assistant
- explore univalent foundations and homotopy type theory
- develop category theory proofs in Coq/Rocq
- teach formal mathematics with interactive tutorials
- verify mathematical proofs with machine-checked correctness
- study univalent mathematics in the browser

## When to choose
- you need a mature, actively maintained library for univalent foundations in Coq/Rocq
- you want machine-checked formalizations of category theory, algebra, and other mathematics
- you are teaching or learning univalent mathematics and want browser-based examples
- you need a well-documented Coq library with alectryon and rocqdoc documentation

## When to avoid
- you need classical set-theoretic foundations rather than univalent foundations
- you want a general-purpose proof assistant rather than a mathematics library
- you are not familiar with Coq/Rocq or dependent type theory
- you need lightweight informal math tooling rather than full formalization

## Facets
- artifact type: library
- maturity: active
- function: programming-language, interpreter, developer-tools
- domain: mathematics, education, programming-languages
- platform: windows, cli
- tags: coq, rocq, proof-assistant, univalent-foundations, homotopy-type-theory, formalization, type-theory, dependent-types, theorem-proving, category-theory, algorithms, linux, macos

## Member repositories
- UniMath/UniMath (main) score 82

## Provenance
- Observed fields: from GitHub, fetched 2026-08-28T04:03:14.727525+00:00.
- Health v2: computed from the inputs above; adoption is never an input.
- Inferred fields (summary, facets, guidance): AI-extracted, prompt v1, taxonomy v1, on 2026-08-30T07:11:10.063273+00:00, confidence not recorded.
  - readme: https://github.com/UniMath/UniMath (fetched 2026-08-28T04:03:14.727525+00:00, sha e9fa184bf622)
  - homepage: http://unimath.org/ (fetched 2026-08-29T13:09:55.406153+00:00, sha c457f5feda1b)
- Data as of 2026-08-30T08:39:29.467469+00:00.