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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.
An axiom-free formalization of category theory in Coq for personal study and practical work
Mathematical Components
formally verified category theory library
A Library for Representing Recursive and Impure Programs in Coq
Formal proof of the Four Color Theorem [maintainer=@ybertot]
Mathematical Components compliant Analysis Library
A library for formalizing Haskell types and functions in Coq
A library of abstract interfaces for mathematical structures in Coq [maintainer=@spitters,@Lysxia]
A library of Coq definitions, theorems, and tactics. [maintainers=@gmalecha,@liyishuai]
A Lean formalization of the Stacks Project
Verified hash-based AMQ structures in Coq
Variations on Kirby & Paris' hydra battles and other entertaining math in Coq (collaborative, documented, includes exercises) [maintainer=@Casteran]
Monadic effects and equational reasoning in Rocq
A Rocq formalization of information theory and linear error-correcting codes
The Coq Effective Algebra Library [maintainers=@CohenCyril,@proux01]
Finite sets, finite maps, multisets and generic sets
Regular Language Representations in Coq [maintainers=@chdoc,@palmskog]
Graph Theory [maintainers=@chdoc,@damien-pous]
The formal proof of the Odd Order Theorem
Implementation of books from Bourbaki's Elements of Mathematics in Coq [maintainer=@thery]
coinduction library for Coq
Stable sort algorithms and their stability proofs in Rocq
Coq library for reasoning on randomized algorithms [maintainers=@anton-trunov,@volodeyka]