# An Alternative Proof of Steinhaus Theorem

## TL;DR

This paper presents a straightforward, elementary proof of Steinhaus theorem, a fundamental result in measure theory concerning the difference of two positive measure sets.

## Contribution

It offers a simpler, more accessible proof of Steinhaus theorem, improving understanding and potentially broadening its applicability.

## Key findings

- Provided an elementary proof of Steinhaus theorem
- Simplified the understanding of the theorem's core result
- Potentially facilitates teaching and further research in measure theory

## Abstract

In measure theory, Steinhaus theorem is a result that deals with a property of the difference between two sets of positive measure. We give a simple elementary proof of the result.