Branches History Index

◀ ▲ ▶Branches / Number-systems-arithmetics / Corollary: Existence of Natural One (Neutral Element of Multiplication of Natural Numbers)

Corollary: Existence of Natural One (Neutral Element of Multiplication of Natural Numbers)

(related to Definition: Multiplication of Natural Numbers)

There exists a natural number \(1\in\mathbb N\) such that \[x\cdot 1=1\cdot 1=x\] for all \(x\in\mathbb N\), i.e. \(1\) is neutral with respect to the multiplication of natural numbers.

Table of Contents

Proofs: 1

Mentioned in:

Proofs: 1 2
Propositions: 3

Thank you to the contributors under CC BY-SA 4.0!

Github:
bookofproofs

References

Bibliography

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