Universality of Measure Space

[1] Charalambos D. Aliprantis and Kim C. Border. Infinite dimensional analysis. Springer-Verlag, Berlin, Heidelberg, 2006.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:10.1007/978-3-319-20615-8 17.Open DOISearch in Google Scholar

[3] Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, and Karol Pąk. The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of Automated Reasoning, 61(1):9–32, 2018. doi:10.1007/s10817-017-9440-6.Open DOISearch in Google Scholar

[4] Vladimir Igorevich Bogachev and Maria Aparecida Soares Ruas. Measure theory, volume 1. Springer, 2007.Search in Google Scholar

[5] Sylvie Boldo, Catherine Lelay, and Guillaume Melquiond. Improving real analysis in Coq: A user-friendly approach to integrals and derivatives. In Chris Hawblitzel and Dale Miller, editors, Certified Programs and Proofs – Second International Conference, CPP 2012, Kyoto, Japan, December 13–15, 2012. Proceedings, volume 7679 of Lecture Notes in Computer Science, pages 289–304. Springer, 2012. doi:10.1007/978-3-642-35308-6 22.Open DOISearch in Google Scholar

[6] Noboru Endou. Fubini’s theorem on measure. Formalized Mathematics, 25(1):1–29, 2017. doi:10.1515/forma-2017-0001.Open DOISearch in Google Scholar

[7] Noboru Endou and Yasunari Shidama. Multidimensional measure space and integration. Formalized Mathematics, 31(1):181–192, 2023. doi:10.2478/forma-2023-0017.Open DOISearch in Google Scholar

[8] Noboru Endou and Yasunari Shidama. Integral of continuous functions of two variables. Formalized Mathematics, 31(1):309–324, 2023. doi:10.2478/forma-2023-0025.Open DOISearch in Google Scholar

[9] Johannes Hölzl and Armin Heller. Three chapters of measure theory in Isabelle/HOL. In Marko C. J. D. van Eekelen, Herman Geuvers, Julien Schmaltz, and Freek Wiedijk, editors, Interactive Theorem Proving (ITP 2011), volume 6898 of LNCS, pages 135–151, 2011.Search in Google Scholar

[10] Tom Leinster. Basic Category Theory. Cambridge University Press, 2014.Search in Google Scholar

[11] Beata Perkowska. Functional sequence from a domain to a domain. Formalized Mathematics, 3(1):17–21, 1992.Search in Google Scholar

[12] M.M. Rao. Measure Theory and Integration. Marcel Dekker, 2nd edition, 2004.Search in Google Scholar