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Proof

(related to Corollary: \(-0=0\))

• According to the existence of negative numbers we can conclude that \(0 +(-0)=0\).
• Because of the existence of zero we also find that \(0+0=0\).
• Because all negative numbers are unique, it must follow that \(-0=0\).
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References

Bibliography

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