定理Ascoli-Arzelà

IF 1 Q1 MATHEMATICS

Formalized Mathematics Pub Date : 2021-07-01 DOI:10.2478/forma-2021-0009

Hiroshi Yamazaki, K. Miyajima, Y. Shidama

引用次数: 4

摘要

总结。在本文中，我们形式化了Mizar[1]，[2]中的ascoli - arzeloe定理[5]，[6]，[8]。首先给出了连续函数集的等连续性和等有界性的定义[12]，[7]，[3]，[9]。接下来，我们使用这些定义形式化了ascoli - arzelo定理，并证明了这个定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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 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.

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来源期刊

Formalized Mathematics MATHEMATICS-

自引率

0.00%

发文量

审稿时长

10 weeks

期刊介绍： Formalized Mathematics is to be issued quarterly and publishes papers which are abstracts of Mizar articles contributed to the Mizar Mathematical Library (MML) - the basis of a knowledge management system for mathematics.