Repository Index

An axiom-free formalization of category theory in Coq for personal study and practical work

• category-theory
• coq
• monad
• profunctor

Mathematical Components

• coq
• ssreflect
• mathcomp
• coq-formalization

Mathematical Components compliant Analysis Library

• rocq
• analysis
• coq
• mathcomp

A library of abstract interfaces for mathematical structures in Coq [maintainer=@spitters,@Lysxia]

• coq-library
• typeclasses
• mathematics
• coq

The Waterproof plugin for the Rocq proof assistant allows you to write Rocq proofs in a style that resembles handwritten mathematical proofs, designed to help university students with learning how to prove mathematical statements.

Library for Classical Coq

Micromega tactics for Mathematical Components

• coq
• ssreflect
• mathcomp
• proof-automation

Libraries demonstrating design patterns for programming and proving with canonical structures in Coq [maintainer=@anton-trunov]

• coq
• canonical-structures
• typeclasses
• ssreflect

A Coq library providing tactics to deal with hypothesis

• coq
• formal-proofs
• proof-assistant
• tactics

Coq formalization of algorithms due to Tarjan and Kosaraju for finding strongly connected graph components using Mathematical Components and SSReflect [maintainers=@CohenCyril,@palmskog]

• coq
• mathcomp
• ssreflect
• tarjan-algorithm

Coqtail is a library of mathematical theorems and tools proved inside the Coq proof assistant. Results range mostly from arithmetic to real and complex analysis. [maintainer=@jmadiot]

• coq
• complex-analysis
• real-analysis