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Formalization of Wallis Infinite Product Formula for π and the Wallis Integral Cover

Formalization of Wallis Infinite Product Formula for π and the Wallis Integral

Open Access
|Dec 2025

Abstract

In this article, we develop the proof of the so-called Wallis formula using the Mizar formalism. The purpose of this formalization is to complete the proof of Stirling’s formula using elementary techniques of calculus; however, the formal encoding of the Wallis-type integral is also included.

DOI: https://doi.org/10.2478/forma-2025-0007 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 85 - 94
Submitted on: Jun 1, 2025
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Accepted on: Sep 17, 2025
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Published on: Dec 23, 2025
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2025 Yasushige Watase, published by University of Białystok
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.