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Pascal’s Theorem in Real Projective Plane

   | 23. Sept. 2017

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[1] Jesse Alama. Escape to Mizar for ATPs. arXiv preprint arXiv:1204.6615, 2012.Search in Google Scholar

[2] Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, Karol Pąk, and Josef Urban. Mizar: State-of-the-art and beyond. In Manfred Kerber, Jacques Carette, Cezary Kaliszyk, Florian Rabe, and Volker Sorge, editors, Intelligent Computer Mathematics, volume 9150 of Lecture Notes in Computer Science, pages 261–279. Springer International Publishing, 2015. ISBN 978-3-319-20614-1. doi: 10.1007/978-3-319-20615-817.10.1007/978-3-319-20615-817Open DOISearch in Google Scholar

[3] Roland Coghetto. Homography in ℝ ℙ2. Formalized Mathematics, 24(4):239–251, 2016. doi: 10.1515/forma-2016-0020.10.1515/forma-2016-0020Open DOISearch in Google Scholar

[4] Roland Coghetto. Group of homography in real projective plane. Formalized Mathematics, 25(1):55–62, 2017. doi: 10.1515/forma-2017-0005.10.1515/forma-2017-0005Open DOISearch in Google Scholar

[5] Agata Darmochwał. The Euclidean space. Formalized Mathematics, 2(4):599–603, 1991.Search in Google Scholar

[6] Adam Grabowski. Solving two problems in general topology via types. In Types for Proofs and Programs, International Workshop, TYPES 2004, Jouy-en-Josas, France, December 15-18, 2004, Revised Selected Papers, pages 138–153, 2004. doi: 10.1007/116179909.10.1007/116179909Open DOISearch in Google Scholar

[7] Adam Grabowski. Mechanizing complemented lattices within Mizar system. Journal of Automated Reasoning, 55:211–221, 2015. doi: 10.1007/s10817-015-9333-5.10.1007/s10817-015-9333-5Open DOISearch in Google Scholar

[8] Kanchun, Hiroshi Yamazaki, and Yatsuka Nakamura. Cross products and tripple vector products in 3-dimensional Euclidean space. Formalized Mathematics, 11(4):381–383, 2003.Search in Google Scholar

[9] Wojciech Leończuk and Krzysztof Prażmowski. A construction of analytical projective space. Formalized Mathematics, 1(4):761–766, 1990.Search in Google Scholar

[10] Wojciech Leończuk and Krzysztof Prażmowski. Projective spaces – part I. Formalized Mathematics, 1(4):767–776, 1990.Search in Google Scholar

[11] Jürgen Richter-Gebert. Pappos’s Theorem: Nine Proofs and Three Variations, pages 3–31. Springer Berlin Heidelberg, 2011. ISBN 978-3-642-17286-1. doi: 10.1007/978-3-642-17286-11.10.1007/978-3-642-17286-11Open DOISearch in Google Scholar

[12] Piotr Rudnicki and Josef Urban. Escape to ATP for Mizar. In First International Workshop on Proof eXchange for Theorem Proving-PxTP 2011, 2011.Search in Google Scholar

[13] Wojciech Skaba. The collinearity structure. Formalized Mathematics, 1(4):657–659, 1990.Search in Google Scholar

[14] Nobuyuki Tamura and Yatsuka Nakamura. Determinant and inverse of matrices of real elements. Formalized Mathematics, 15(3):127–136, 2007. doi: 10.2478/v10037-007-0014-7.10.2478/v10037-007-0014-7Open DOISearch in Google Scholar

eISSN:
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ISSN:
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Sprache:
Englisch
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Fachgebiete der Zeitschrift:
Informatik, andere, Mathematik, Allgemeines