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Proposition: Existence of Complex One (Neutral Element of Multiplication of Complex Numbers)

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

Table of Contents

Proofs: 1

Mentioned in:

Lemmas: 1 2
Proofs: 3 4 5 6

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References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983