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Metamath

Metamath is a formal language and an associated computer program (a proof assistant) for archiving and verifying mathematical proofs. Several databases of proved theorems have been developed using Metamath covering standard results in logic, set theory, number theory, algebra, topology and analysis, among others.

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Metamath databases

Hilbert systemZFCTarski-Grothendieck set theoryCategory theoryIntuitionistic logic
15 related topics

Other works connected to Metamath

Raph LevienCommon LispHaskellGraphic user interface
4 related topics

Metamath language

MetalanguageFormal systemsFirst-order logicZFC set theoryVariable substitution
7 related topics

Metamath proof checker

HTMLTeXModus ponens
3 related topics

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Developer
Norman Megill
License
GNU General Public License (Creative Commons Public Domain Dedication for databases)
Operating system
Linux, Windows, macOS
Release
0.07 in June 2005; 21 years ago (2005-06)
Repository
github.com/metamath/metamath-exe
Stable release
0.198 / 7 August 2021; 5 years ago (7 August 2021)

Topics to explore

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Overview

Metamath language

Metamath proof checker

Metamath databases

Natural deduction

Other works connected to Metamath

Advanced semantic analysis

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Map overview Semantic statistics

Metamath

Nodes46
Edges45
Triples69
Avg. degree1.96
Density0.043478
Components1

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Metamath

Top relations

related to Editors · 13
Metamath → In, In Metamath, In Mmj2, Mel O'Cat, Mmide, Mmj2, Moreover Mmj2, Paul Chapman, The, There, This, William Hale, You
related to Databases without explorers · 9
Metamath → Bach, Escher, Gödel, MIU, MU, Peano, Robert Solovay, The, The Metamath
related to Metamath Proof Explorer · 8
Metamath → Hilbert, It, September, Tarski-Grothendieck, The, The Metamath Proof Explorer, Thus, ZFC
related to Metamath language · 5
Metamath → Instead, Proofs, The, The Metamath, ZFC
related to Natural deduction · 5
Metamath → As, Because Metamath, Hilbert-style, However, The Metamath Proof Explorer
related to Older explorers · 5
Metamath → Hilbert, Hilbert Space Explorer, Metamath Proof Explorer, Quantum Logic Explorer, The Metamath
related to Proof checkers · 5
Metamath → Ghilbert, Levien, Python, Raph Levien, Using
related to Metamath databases · 4
Metamath → Explorer, Hilbert, Most, The Metamath
related to Substitution · 3
Metamath → All Metamath, Proper, The
related to Metamath proof checker · 2
Metamath → It, The Metamath

Important terminology Word statistics

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Important terminology

proof set database proofs databases theorems logic mm use language using theory substitution system website rules explorer also user deduction

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
MetamathDeveloperNorman Megill1.00infobox
MetamathLicenseGNU General Public License (Creative Commons Public Domain Dedication for databases)1.00infobox
MetamathOperating systemLinux, Windows, macOS1.00infobox
MetamathRelease0.07 in June 2005; 21 years ago (2005-06)1.00infobox
MetamathRepositorygithub.com/metamath/metamath-exe1.00infobox
MetamathStable release0.198 / 7 August 2021; 5 years ago (7 August 2021)1.00infobox
MetamathTypeComputer-assisted proof checking1.00infobox
MetamathWebsiteus.metamath.org1.00infobox
MetamathWritten inANSI C1.00infobox
Metamathis aformal language and an associated computer program0.90text
Metamathrelated to Databases without explorersThe Metamath0.60section
Metamathrelated to Databases without explorersThe0.60section

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    Min side: 3
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