math-comp ☆

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Description:
Mathematical Components for the Coq proof assistant

Type: Formula | Tracked Since: Dec 28, 2025

Links: Homepage | formulae.brew.sh

Category: Developer tools

Tags: coq formal-verification mathematics proof-assistant library

Install: brew install math-comp

About:
Mathematical Components (math-comp) is a comprehensive library of mathematical structures and proofs built on top of the Coq proof assistant. It provides a formalized hierarchy of algebraic structures, including numbers, groups, rings, and matrices, enabling rigorous verification of mathematical theorems. This library is foundational for projects like the CompCert verified compiler and the Coq-HoTT library.

Key Features:

Formalized hierarchy of algebraic structures (SSReflect)
Comprehensive library for finite sets and combinatorics
Basis for the CompCert verified C compiler
Rigorous foundation for abstract algebra and number theory

Use Cases:

Formal verification of mathematical theorems and proofs
Development of verified software and compilers
Research in abstract algebra and discrete mathematics

Alternatives:

Coq Standard Library – Math-comp offers a more structured and modular approach to algebraic structures compared to the standard library.
Lean Mathlib – Lean's mathlib is a competing large-scale formal mathematics library with a different underlying logic and syntax.

Version History

Detected	Rev	Change	Commit
Feb 9, 2026 3:14pm	2	REVISION_ONLY	ab87554e
Jan 28, 2026 1:08pm	1	REVISION_ONLY	ab180864
Oct 5, 2025 12:02am	4	VERSION_BUMP	e3c2c1d6
Sep 16, 2025 4:01am	2	VERSION_BUMP	bd7402c4
Jan 16, 2025 6:43pm	6	VERSION_BUMP	046f9875
Sep 13, 2024 8:32pm	5	VERSION_BUMP	257d2c99