Cite

[1] Susanne Apel. The geometry of brackets and the area principle. Phd thesis, Technische Universität München, Fakultät für Mathematik, 2014.Search in Google Scholar

[2] Susanne Apel and Jürgen Richter-Gebert. Cancellation patterns in automatic geometric theorem proving. In Automated Deduction in Geometry, pages 1–33. Springer, 2010.10.1007/978-3-642-25070-5_1Search in Google Scholar

[3] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107–114, 1990.Search in Google Scholar

[4] 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:10.1007/978-3-319-20615-8_17.10.1007/978-3-319-20615-8_17Search in Google Scholar

[5] Czesław Byliński. Finite sequences and tuples of elements of a non-empty sets. Formalized Mathematics, 1(3):529–536, 1990.Search in Google Scholar

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

[7] Laurent Fuchs and Laurent Thery. A formalization of Grassmann-Cayley algebra in Coq and its application to theorem proving in projective geometry. In Automated Deduction in Geometry, pages 51–67. Springer, 2010.10.1007/978-3-642-25070-5_3Search 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] Xiquan Liang, Piqing Zhao, and Ou Bai. Vector functions and their differentiation formulas in 3-dimensional Euclidean spaces. Formalized Mathematics, 18(1):1–10, 2010. doi:10.2478/v10037-010-0001-2.10.2478/v10037-010-0001-2Search in Google Scholar

[12] Nicolas Magaud, Julien Narboux, and Pascal Schreck. Formalizing projective plane geometry in Coq. In Automated Deduction in Geometry, pages 141–162. Springer, 2008.10.1007/978-3-642-21046-4_7Search in Google Scholar

[13] Timothy James McKenzie Makarios. A mechanical verification of the independence of Tarski’s Euclidean Axiom. Victoria University of Wellington, New Zealand, 2012. Master’s thesis.Search in Google Scholar

[14] Karol Pąk. Basic properties of the rank of matrices over a field. Formalized Mathematics, 15(4):199–211, 2007. doi:10.2478/v10037-007-0024-5.10.2478/v10037-007-0024-5Search in Google Scholar

[15] Karol Pąk. Linear transformations of Euclidean topological spaces. Formalized Mathematics, 19(2):103–108, 2011. doi:10.2478/v10037-011-0016-3.10.2478/v10037-011-0016-3Search in Google Scholar

[16] Jürgen Richter-Gebert. Mechanical theorem proving in projective geometry. Annals of Mathematics and Artificial Intelligence, 13(1-2):139–172, 1995.10.1007/BF01531327Search in Google Scholar

[17] Jürgen Richter-Gebert. Perspectives on projective geometry: a guided tour through real and complex geometry. Springer Science & Business Media, 2011.10.1007/978-3-642-17286-1Search in Google Scholar

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

[19] Wojciech A. Trybulec. Non-contiguous substrings and one-to-one finite sequences. Formalized Mathematics, 1(3):569–573, 1990.Search in Google Scholar

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Computer Sciences, other, Mathematics, General Mathematics