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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