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<h1 class="title">Mathematical Components: Documentation</h1>
<div id="outline-container-org2d2861f" class="outline-2">
<h2 id="org2d2861f">📚 Books</h2>
<div class="outline-text-2" id="text-org2d2861f">
<ul class="org-ul">
<li><a href="https://math-comp.github.io/mcb/">Mathematical Components</a> by Assia Mahboubi and Enrico Tassi</li>
<li><a href="https://www.morikita.co.jp/books/book/3287">Formal Proof using Coq/SSReflect/MathComp: Start Formalization of Mathematics with Free Software</a> by Manabu Hagiwara and Reynald Affeldt (in Japanese, 日本語)</li>
<li><a href="http://ilyasergey.net/pnp/">Programs and Proofs: Mechanizing Mathematics with Dependent Types</a> by Ilya Sergey</li>
<li><a href="https://staff.aist.go.jp/reynald.affeldt/documents/karate-rocq.pdf">Karate-Rocq, An Introduction to MathComp-Analysis</a> by Reynald Affeldt</li>
</ul>
</div>
</div>
<div id="outline-container-orgb0590d5" class="outline-2">
<h2 id="orgb0590d5"> 📒 SSReflect reference manual</h2>
<div class="outline-text-2" id="text-orgb0590d5">
<ul class="org-ul">
<li><a href="https://hal.inria.fr/inria-00258384/en">A Small Scale Reflection Extension for the Coq system</a> by Georges Gonthier, Assia Mahboubi, and Enrico Tassi
<ul class="org-ul">
<li>the same <a href="https://coq.inria.fr/distrib/current/refman/proof-engine/ssreflect-proof-language.html">htmlized as a part</a> of Coq reference manual</li>
</ul></li>
</ul>
</div>
</div>
<div id="outline-container-org50da7e1" class="outline-2">
<h2 id="org50da7e1"> 🏫 Lectures</h2>
<div class="outline-text-2" id="text-org50da7e1">
</div>
<div id="outline-container-org8f17427" class="outline-3">
<h3 id="org8f17427">Introductions</h3>
<div class="outline-text-3" id="text-org8f17427">
<ul class="org-ul">
<li>🎥 <a href="https://www.youtube.com/watch?app=desktop&v=taqk6tty8wk">Coq/Rocq tutorial: Ssreflect tactics and the MathComp library</a> by Marie Kerjean and Cyril Cohen, 2024-03-26</li>
<li><a href="https://github.com/math-comp/math-comp/wiki/tutorial-itp2016">ITP 2016 tutorial: Mathematical Components, an Introduction</a> by Yves Bertot, Cyril Cohen, Assia Mahboubi, Enrico Tassi, and Laurent Théry.</li>
<li><a href="https://www.jstage.jst.go.jp/article/jssst/34/2/34_2_64/_pdf">Introduction to Mathematical Components</a> by Reynald Affeldt (in Japanese, 日本語), 2016</li>
<li><a href="http://videos.rennes.inria.fr/Conference-ITP/indexAssiaMahboubiEnricoTassi.html">ITP 2013 tutorial: The Mathematical Components library</a> by Assia Mahboubi and Enrico Tassi</li>
<li><a href="http://jfr.unibo.it/article/view/1979">An introduction to small scale reflection in Coq</a> by Georges Gonthier and Assia Mahboubi, 2010</li>
</ul>
</div>
</div>
<div id="outline-container-org46e4241" class="outline-3">
<h3 id="org46e4241">Class</h3>
<div class="outline-text-3" id="text-org46e4241">
<ul class="org-ul">
<li><a href="https://mathcomp-schools.gitlabpages.inria.fr/2022-12-school/school">MathComp School 2022</a> by Yves Bertot, Cyril Cohen, Laurence Rideau, Kazuhiko Sakaguchi, Enrico Tassi, Laurent Théry</li>
<li><a href="https://team.inria.fr/marelle/en/coq-winter-school-2018-2019-ssreflect-mathcomp/">Coq Winter School 2018-2019 (SSReflect & MathComp)</a> by Yves Bertot, Cyril Cohen, Laurence Rideau, Enrico Tassi, Laurent Théry</li>
<li><a href="https://team.inria.fr/marelle/en/coq-winter-school-2017-2018-ssreflect-mathcomp/">Coq Winter School 2017-2018 (SSReflect & MathComp)</a> by Yves Bertot, Cyril Cohen, Laurence Rideau, Enrico Tassi, Laurent Théry</li>
<li><a href="https://team.inria.fr/marelle/en/advanced-coq-winter-school-2016/">Advanced Coq Winter School 2016 for master students</a> by Cyril Cohen, Laurence Rideau, Enrico Tassi, Laurent Théry</li>
<li><a href="https://staff.aist.go.jp/reynald.affeldt/ssrcoq/">Coq/SSReflect/MathComp Tutorial</a> by Reynald Affeldt (in Japanese, 日本語), 2014-2015</li>
<li><a href="http://www-sop.inria.fr/manifestations/MapSpringSchool/">International Spring School on Formalization of Mathematics (MAP 2012)</a> by Yves Bertot, Assia Mahboubi, Laurence Rideau, Pierre-Yves Strub, Enrico Tassi, Laurent Théry</li>
</ul>
</div>
</div>
</div>
<div id="outline-container-org985b530" class="outline-2">
<h2 id="org985b530">📝 Cheatsheets</h2>
<div class="outline-text-2" id="text-org985b530">
<ul class="org-ul">
<li><a href="http://www-sop.inria.fr/marelle/math-comp-tut-16/MathCompWS/basic-cheatsheet.pdf">Basic cheat sheet</a></li>
<li><a href="http://www-sop.inria.fr/marelle/math-comp-tut-16/MathCompWS/cheatsheet.pdf">Advanced cheat sheet</a></li>
<li><a href="https://staff.aist.go.jp/reynald.affeldt/ssrcoq/ssrbool_doc.pdf">ssrbool.v</a>,
<a href="https://staff.aist.go.jp/reynald.affeldt/ssrcoq/ssrnat_doc.pdf">ssrnat.v</a>,
<a href="https://staff.aist.go.jp/reynald.affeldt/ssrcoq/bigop_doc.pdf">bigop.v</a>,
<a href="https://staff.aist.go.jp/reynald.affeldt/ssrcoq/finset_doc.pdf">finset.v</a>,
<a href="https://staff.aist.go.jp/reynald.affeldt/ssrcoq/fingroup_doc.pdf">fingroup.v</a></li>
</ul>
</div>
</div>
<div id="outline-container-orgae2f881" class="outline-2">
<h2 id="orgae2f881">🎥 Conference videos</h2>
<div class="outline-text-2" id="text-orgae2f881">
<ul class="org-ul">
<li><a href="https://www.youtube.com/watch?v=v5hNHr7CF3Q">An Overview of MathComp-Analysis and Its Applications</a> by Reynald Affeldt at the Rocqshop 2025</li>
<li><a href="https://www.youtube.com/watch?v=NJetR3C6uH8">Building Measure Theory using Hierarchy Builder</a> by Cyril Cohen at the Hausdorff Center for Mathematics, 2024</li>
</ul>
</div>
<div id="outline-container-org0651890" class="outline-3">
<h3 id="org0651890">Georges Gonthier about the Mathematical Components project:</h3>
<div class="outline-text-3" id="text-org0651890">
<ul class="org-ul">
<li><a href="https://www.youtube.com/watch?v=3ak3N31d8_g">Georges Gonthier: Computer proofs: teaching computers mathematics, and conversely</a>, ICM 2022, 2022-07-07</li>
<li><a href="https://www.youtube.com/watch?v=ZNB2ZEFw5Zw">Functional Encodings of Mathematics</a>, Institut des Hautes Études Scientifiques, 2022-06-15 (in French)</li>
<li><a href="https://www.youtube.com/watch?v=_NDD_jXGwk8">The Logic of Real Proofs</a>, Federated Logic Conference, 2018-07-14</li>
<li><a href="https://www.newton.ac.uk/seminar/17967/">Scaffolds and frames: the MathComp algebra formal library</a>, Isaac Newton Institute, 2017-07-13</li>
<li><a href="https://www.microsoft.com/en-us/research/video/proof-engineering-from-the-four-colour-to-the-odd-order-theorem/">Proof Engineering, from the Four Colour to the Odd Order Theorem</a>, Microsoft, 2016-07-16</li>
<li><a href="https://www.youtube.com/watch?v=frz6MFt36Gc">Digitizing the Group Theory of the Odd Order Theorem</a>, Institut Henri Poincaré, 2014-04-22</li>
<li><a href="https://www.youtube.com/watch?v=yBXGdJw1xBI">The four colour theorem</a>, RU Computer Science, 2013-01-28</li>
<li><a href="https://www.youtube.com/watch?v=TczaUx0B92M">Mechanizing the Odd Order Theorem: Local Analysis</a>, Institute for Advanced Study, 2011-01-20</li>
</ul>
</div>
</div>
</div>
</div>
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