Proposition: Uniqueness of Real Zero

Among the real numbers $\mathbb R$, there is only one number zero \(0\), which is neutral with respect to addition, i.e. for which $x=x+0=0+x$ holds for all $x\in\mathbb R$.

Proofs: 1

Proofs: 1 2


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References

Bibliography

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