A simple proof that π is irrational

Manuel Eberl 📧

September 13, 2024

This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.

Abstract

This entry provides a formalisation of Niven's famously short one-page proof that $\pi$ is irrational. The proof uses only elementary algebra and analysis.

The intrinsic de Bruijn factor, i.e. the file size ratio between the gzipped Isabelle sources and a gzipped LaTeX version of the original paper's content, is roughly 4 despite the original paper's terse presentation.

License

BSD License

Topics

Session Pi_Irrational