The Mathematical Components Library is an extensive and coherent repository of formalized mathematical theories. It is based on the Coq proof assistant, powered with the Coq/SSReflect language.

These formal theories cover a wide spectrum of topics, ranging from the formal theory of general purpose data structures like lists, prime numbers or finite graphs, to advanced topics in algebra. The repository includes the foundation of formal theories used in a formal proof of the Four Colour Theorem (Appel - Haken, 1976) and a mechanization of the Odd Order Theorem (Feit - Thompson, 1963), a landmark result of finite group theory, which utilizes the library extensively.

If you already have OPAM installed (a fresh or up to date version of opam 2 is required):

opam repo add coq-released https://coq.inria.fr/opam/released
opam install coq-mathcomp-ssreflect

Additional packages go by the name of coq-mathcomp-algebra, coq-mathcomp-field, etc... See INSTALL for detailed installation instructions in other scenarios.

• The website of the MathComp library contains:
  • links to the HTML documentation of each file
  • a list of tutorials
• The ssreflect mailing list is the primary venue for help and questions about the library.
• The Mathematical Components Book provides a comprehensive introduction to the library.
• Experienced users hang around at StackOverflow listening to the ssreflect and coq tags.

A collection of papers using the Mathematical Components library