A Proof of Levi's Extension Lemma

TL;DR

This paper provides a concise, self-contained proof of Levi's Extension Lemma, a fundamental result in the theory of pseudoline arrangements, enhancing understanding and accessibility of the lemma.

Contribution

It introduces a new, simplified proof of Levi's Extension Lemma, making the result more accessible and easier to understand.

Findings

Proof is concise and self-contained

Clarifies the theoretical understanding of pseudoline arrangements

Potentially facilitates further research in the area

Abstract

We give a short and self-contained proof of Levi's Extension Lemma for pseudoline arrangements.