Ascoli-Arzelà Theorem
Hiroshi Yamazaki, Keiichi Miyajima, Yasunari Shidama · Formalized Mathematics · 2021
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.