<abstract xmlns="http://www.w3.org/1999/xhtml">
<p><bold>Summary</bold>. 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.</p>
</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.

Ascoli-Arzelà Theorem

Nagano Prefectural Institute of Technology Nagano

Ibaraki University Faculty of Engineering Hitachi

Formalized Mathematics

{"article-title":"Ascoli-Arzelà Theorem"}

Summary. In this article we formalize the Ascoli-Arzelà theorem [5], [6], [8] in Mizar [1], [2]. First, we gave definitions of equicontinuousness and...

阿斯科利·阿泽拉定理

文章类别:冠词

在线发布:2021年12月30日

页面范围： 87 - 94

认可的:2021年6月30日

内政部： https://doi.org/10.2478/forma-2021-0009

关键词
阿斯科利·阿泽拉定理,连续函数的等连续性,连续函数的等有界性

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