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Corollary: Existence of Natural Zero (Neutral Element of Addition of Natural Numbers)

(related to Proposition: Addition Of Natural Numbers)

There exists a natural number \(0\in\mathbb N\) such that \[x+0=0+x=x\] for all \(x\in\mathbb N\), i.e. \(0\) is neutral with respect to the addition of natural numbers.

Table of Contents

Proofs: 1

Mentioned in:

Definitions: 1
Proofs: 2 3 4 5 6 7

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References

Bibliography

1. Kramer Jürg, von Pippich, Anna-Maria: "Von den natürlichen Zahlen zu den Quaternionen", Springer-Spektrum, 2013