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

<p>Previous Mizar articles [7, 6, 5] formalized the implicit and inverse function theorems for Frechet continuously differentiable maps on Banach spaces. In this paper, using the Mizar system [1], [2], we formalize these theorems on Euclidean spaces by specializing them. We referred to [4], [12], [10], [11] in this formalization.</p>
</abstract>

Previous Mizar articles [7, 6, 5] formalized the implicit and inverse function theorems for Frechet continuously differentiable maps on Banach spaces. In this paper, using the Mizar system [1], [2], we formalize these theorems on Euclidean spaces by specializing them. We referred to [4], [12], [10], [11] in this formalization.

On Implicit and Inverse Function Theorems on Euclidean Spaces

Formalized Mathematics

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

{"article-title":"On Implicit and Inverse Function Theorems on Euclidean Spaces"}

Previous Mizar articles [7, 6, 5] formalized the implicit and inverse function theorems for Frechet continuously differentiable maps on Banach spaces. In this...

欧氏空间上的隐函数定理和反函数定理

在线发布:2022年12月30日

页面范围： 159 - 168

认可的:2022年9月30日

内政部： https://doi.org/10.2478/forma-2022-0012

关键词
隐函数定理,反函数定理,连续可微函数

©2022 Kazuhisa Nakasho等人，由Sciendo出版

本作品根据Creative Commons Attribution-ShareAlike 4.0 International License获得许可。