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The Rocq Prover is an interactive theorem prover, or proof assistant. It provides a formal language to write mathematical definitions, executable algorithms and theorems together with an environment for semi-interactive development of machine-checked proofs.
This rocq library aims to formalize a substantial body of mathematics using the univalent point of view.
Mathematical Components
Mathematical Components compliant Analysis Library
A library of abstract interfaces for mathematical structures in Coq [maintainer=@spitters,@Lysxia]
Variations on Kirby & Paris' hydra battles and other entertaining math in Coq (collaborative, documented, includes exercises) [maintainer=@Casteran]
Implementation of books from Bourbaki's Elements of Mathematics in Coq [maintainer=@thery]
Coq formalization of algorithms due to Tarjan and Kosaraju for finding strongly connected graph components using Mathematical Components and SSReflect [maintainers=@CohenCyril,@palmskog]
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]