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Proposition: Existence of Inverse Rational Numbers With Respect to Multiplication

For every \(x\in\mathbb Q\), \(x\neq 0\), there exists a number \(x^{-1}\in\mathbb Q\) with \(x\cdot x^{-1}=1\).

Table of Contents

Proofs: 1

Mentioned in:

Proofs: 1 2

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References

Bibliography

  1. Kramer Jürg, von Pippich, Anna-Maria: "Von den natürlichen Zahlen zu den Quaternionen", Springer-Spektrum, 2013