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Proposition: Comparing Natural Numbers Using the Concept of Addition

Given two natural numbers \(x,y\), only one of the following cases can be true:

1. Either \(x=y\),
2. or there exists exactly one natural number \(u\neq 0\) with \(x=y+u\),
3. or there exists exactly one natural number \(u\neq 0\) with \(x=y+u\),

Table of Contents

Proofs: 1 Corollaries: 1

Mentioned in:

Definitions: 1
Proofs: 2

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References

Bibliography

1. Landau, Edmund: "Grundlagen der Analysis", Heldermann Verlag, 2008