The Mizar system consists of a formal language for writing mathematical definitions and proofs, a proof assistant, which is able to mechanically check proofs written in this language, and a library of formalized mathematics, which can be used in the proof of new theorems.[1] The system is maintained and developed by the Mizar Project, formerly under the direction of its founder Andrzej Trybulec.
In 2009 the Mizar Mathematical Library was the largest coherent body of strictly formalized mathematics in existence.[2]
^Naumowicz, Adam; Artur Korniłowicz (2009). A Brief Overview of Mizar. Lecture Notes in Computer Science. Vol. 5674. pp. 67–72. doi:10.1007/978-3-642-03359-9_5. ISBN 978-3-642-03358-2. {{cite book}}: |journal= ignored (help)
The Mizarsystem consists of a formal language for writing mathematical definitions and proofs, a proof assistant, which is able to mechanically check...
Mizar /ˈmaɪzɑːr/ is a second-magnitude star in the handle of the Big Dipper asterism in the constellation of Ursa Major. It has the Bayer designation...
companion of Mizar. Mizar, also designated Zeta Ursae Majoris (ζ Ursae Majoris, abbreviated Zeta UMa, ζ UMa), is itself a quadruple system and Alcor, also...
the Mizarsystem, the system can be considered a sextuple. Jabbah AR Cassiopeiae V871 Centauri Gamma Cassiopeiae QZ Carinae Exoplanet Solar System The...
Mathematics, EMS Press, 2001 [1994] Formal definition of Borel Sets in the Mizarsystem, and the list of theorems Archived 2020-06-01 at the Wayback Machine...
Probability Theory. New York: Macmillan. pp. 13–28. Formal definition of probability in the Mizarsystem, and the list of theorems formally proved about it....
"Two-dimensional version of the Intermediate Value Theorem". Stack Exchange. Mizarsystem proof: http://mizar.org/version/current/html/topreal5.html#T4...
naked eye is the case of Mizar and Alcor (though actually a multiple-star system), but it is not known for certain whether Mizar and Alcor are gravitationally...
Field extensions and Galois Theory, Addison–Wesley Publishing Company (1984). Mizarsystem proof: http://mizar.org/version/current/html/vectsp_9.html#T19...
Demonstrations Project. Weisstein, Eric W. "Extreme Value Theorem". MathWorld. Mizarsystem proof: http://mizar.org/version/current/html/weierstr.html#T15...
Weisstein, Eric W. "Tietze's Extension Theorem." From MathWorld Mizarsystem proof: http://mizar.org/version/current/html/tietze.html#T23 Bonan, Edmond (1971)...
USNS Mizar (MA-48/T-AGOR-11/T-AK-272) was a vessel of the United States Navy. She was named after the star Mizar. Mizar was built as a small ice-strengthened...
(in Latin) at Google Books Gauss's first proof (in Latin) at Google Books Mizarsystem proof: http://mizar.org/version/current/html/polynom5.html#T74...
Press, 17 June 2010, ISBN 978-0-19-958736-0 Yoneda lemma at the nLab Mizarsystem proof: Wojciechowski, M. (1997). "Yoneda Embedding". Formalized Mathematics...
in 2005 by an international team of mathematicians using the Mizarsystem. Both the Mizar and the HOL Light proof rely on libraries of previously proved...