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Ascoli-Arzelà Theorem Cover

Abstract

Summary. In this article we formalize the Ascoli-Arzelà theorem [5], [6], [8] in Mizar [1], [2]. First, we gave definitions of equicontinuousness and equiboundedness of a set of continuous functions [12], [7], [3], [9]. Next, we formalized the Ascoli-Arzelà theorem using those definitions, and proved this theorem.

DOI: https://doi.org/10.2478/forma-2021-0009 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 87 - 94
Accepted on: Jun 30, 2021
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Published on: Dec 30, 2021
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
Keywords:

© 2021 Hiroshi Yamazaki, Keiichi Miyajima, Yasunari Shidama, published by University of Białystok
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.