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Inverse Function Theorem. Part I1 Cover
By: Kazuhisa Nakasho and  Yuichi Futa  
Open Access
|Aug 2021

References

  1. [1] Grzegorz Bancerek, CzesƂaw ByliƄski, Adam Grabowski, Artur KorniƂowicz, 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_17
  2. [2] Grzegorz Bancerek, CzesƂaw ByliƄski, Adam Grabowski, Artur KorniƂowicz, 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/s10817-017-9440-6.10.1007/s10817-017-9440-6604425130069070
  3. [3] Bruce K. Driver. Analysis Tools with Applications. Springer, Berlin, 2003.
  4. [4] Hiroshi Imura, Morishige Kimura, and Yasunari Shidama. The differentiable functions on normed linear spaces. Formalized Mathematics, 12(3):321–327, 2004.
  5. [5] Kazuhisa Nakasho. Invertible operators on Banach spaces. Formalized Mathematics, 27 (2):107–115, 2019. doi:10.2478/forma-2019-0012.10.2478/forma-2019-0012
  6. [6] Kazuhisa Nakasho and Yasunari Shidama. Implicit function theorem. Part II. Formalized Mathematics, 27(2):117–131, 2019. doi:10.2478/forma-2019-0013.10.2478/forma-2019-0013
  7. [7] Kazuhisa Nakasho, Yuichi Futa, and Yasunari Shidama. Implicit function theorem. Part I. Formalized Mathematics, 25(4):269–281, 2017. doi:10.1515/forma-2017-0026.10.1515/forma-2017-0026
  8. [8] Hideki Sakurai, Hiroyuki Okazaki, and Yasunari Shidama. Banach’s continuous inverse theorem and closed graph theorem. Formalized Mathematics, 20(4):271–274, 2012. doi:10.2478/v10037-012-0032-y.10.2478/v10037-012-0032-y
  9. [9] Laurent Schwartz. Théorie des ensembles et topologie, tome 1. Analyse. Hermann, 1997.
  10. [10] Laurent Schwartz. Calcul différentiel, tome 2. Analyse. Hermann, 1997.
DOI: https://doi.org/10.2478/forma-2021-0002 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 9 - 19
Accepted on: Mar 30, 2021
Published on: Aug 26, 2021
Published by: University of BiaƂystok
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2021 Kazuhisa Nakasho, Yuichi Futa, published by University of BiaƂystok
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.