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A language and a proof verifier for developing formalized mathematical proofs.

Metamath is a language and a proof verifier for developing and verifying strictly formalized mathematical proofs, bundled with collaborated databases containing thousands of proven theorems including conventional results in logic, set theory, number theory, group theory, algebra, analysis, topology and various other topics. All proofs are in the form of Hilbert-style formulas.

Included databases:

  • ZFC set theory
  • New Foundations set theory
  • Higher-order logic
  • Intuitionistic logic
  • Hilbert space
  • Quantum logic

Related Projects


LicenseVerified byVerified onNotes
License:GPLv2orlaterstrange_quark20 May 2017
Most of the source files include "GNU General Public License" without clearly indicating which version. However, the main source file explicitly states to be licensed under "GNU General Public License Version 2 or any later version".
CC0strange_quark20 May 2017

Leaders and contributors

Norman Megill Author

Resources and communication

Software prerequisites

This entry (in part or in whole) was last reviewed on 21 May 2017.


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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the page “GNU Free Documentation License”.

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