◀ ▲ ▶Branches / Number-systems-arithmetics / Proposition: Uniqueness of Inverse Real Numbers With Respect to Multiplication
Proposition: Uniqueness of Inverse Real Numbers With Respect to Multiplication
For every real number \(x\neq 0\) there is only one real number, denoted by \(x^{-1}\), such that \(x\cdot x^{-1}=x^{-1}\cdot x=1\) for all \(x\in\mathbb R\).
Table of Contents
Proofs: 1 Corollaries: 1 2
Mentioned in:
Corollaries: 1
Proofs: 2 3 4 5 6
Propositions: 7 8
Sections: 9
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References
Bibliography
- Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983