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Corollary: A product of two real numbers is zero if and only if at least one of these numbers is zero.

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

If the product of two real numbers \(x,y\in\mathbb R\) equals zero \(xy=0\), then at least one of these numbers must equal \(0\).

Vice versa, if at least one of these numbers equals \(0\), than their product also must be zero.

Table of Contents

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Proofs: 1

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References

Bibliography

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