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Proposition: Existence of Real Zero (Neutral Element of Addition of Real Numbers)

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

Table of Contents

Proofs: 1

Mentioned in:

Corollaries: 1 2
Definitions: 3
Lemmas: 4
Proofs: 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Propositions: 20 21 22

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References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983
  2. Kramer Jürg, von Pippich, Anna-Maria: "Von den natürlichen Zahlen zu den Quaternionen", Springer-Spektrum, 2013