References
- 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.
- Marco B. Caminati and Giuseppe Rosolini. Custom automations in Mizar. Journal of Automated Reasoning, 50(2):147–160, 2013.
- Adam Grabowski and Artur Korniłowicz. Implementing more explicit definitional expansions in Mizar. In Adam Naumowicz and René Thiemann, editors, 14th International Conference on Interactive Theorem Proving, ITP 2023, Białystok, Poland, July 31–August 4, 2023, volume 268 of LIPIcs, pages 37:1–37:8. Schloss Dagstuhl – Leibniz-Zentrum für Informatik, 2023. doi:10.4230/LIPICS.ITP.2023.37.
- Adam Grabowski, Artur Korniłowicz, and Adam Naumowicz. Mizar in a nutshell. Journal of Formalized Reasoning, 3(2):153–245, 2010.
- Artur Korniłowicz. Tentative experiments with ellipsis in Mizar. In Johan Jeuring, John A. Campbell, Jacques Carette, Gabriel Dos Reis, Petr Sojka, Makarius Wenzel, and Volker Sorge, editors, Intelligent Computer Mathematics, pages 453–457. Springer Berlin Heidelberg, 2012. doi:10.1007/978-3-642-31374-535.
- Artur Korniłowicz. Elementary number theory problems. Part III. Formalized Mathematics, 30(2):135–158, 2022. doi:10.2478/forma-2022-0011.
- Artur Korniłowicz. On rewriting rules in Mizar. Journal of Automated Reasoning, 50(2): 203–210, 2013.
- Adam Naumowicz. Elementary number theory problems. Part I. Formalized Mathematics, 28(1):115–120, 2020. doi:10.2478/forma-2020-0010.
- Adam Naumowicz. Dataset description: Formalization of elementary number theory in Mizar. In Christoph Benzmüller and Bruce R. Miller, editors, Intelligent Computer Mathematics – 13th International Conference, CICM 2020, Bertinoro, Italy, July 26–31, 2020, Proceedings, volume 12236 of Lecture Notes in Computer Science, pages 303–308. Springer, 2020. doi:10.1007/978-3-030-53518-622.
- Wacław Sierpiński. Elementary Theory of Numbers. PWN, Warsaw, 1964.
- Wacław Sierpiński. Teoria liczb. Instytut Matematyczny Polskiej Akademii Nauk, 1950. In Polish.
- Wacław Sierpiński. 250 Problems in Elementary Number Theory. Elsevier, 1970.
- James J. Tattersall. The Intriguing Natural Numbers. Cambridge University Press, 2005.
- Rafał Ziobro. Multiplication-related classes of complex numbers. Formalized Mathematics, 28(2):197–210, 2020. doi:10.2478/forma-2020-0017.
- Rafał Ziobro. Some remarkable identities involving numbers. Formalized Mathematics, 22(3):205–208, 2014. doi:10.2478/forma-2014-0023.
- Rafał Ziobro. Fermat’s Little Theorem via divisibility of Newton’s binomial. Formalized Mathematics, 23(3):215–229, 2015. doi:10.1515/forma-2015-0018.
- Rafał Ziobro. Parity as a property of integers. Formalized Mathematics, 26(2):91–100, 2018. doi:10.2478/forma-2018-0008.