A double-inductive proof of Moessner's theorem

TL;DR

This paper provides a straightforward proof of Moessner's theorem using double induction and basic arithmetic, making the proof accessible without prior advanced knowledge.

Contribution

It introduces a novel double-inductive proof method for Moessner's theorem that relies solely on fundamental arithmetic rules.

Findings

Proof is accessible without advanced prerequisites

Uses only basic arithmetic and double induction

Simplifies understanding of Moessner's theorem

Abstract

We present a proof of Moessner's theorem by double induction, using only basic rules of arithmetic. No prerequisite knowledge is assumed. Familiarity with summation is advised.