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Proposition: Existence of Integer Zero (Neutral Element of Addition of Integers)
There exists an integer \(0\in\mathbb Z\) such that \[x+0=0+x=x\] for all \(x\in\mathbb Z\), i.e. \(0\) is neutral with respect to the addition or integers.
Table of Contents
Proofs: 1
Mentioned in:
Definitions: 1 2
Motivations: 3
Proofs: 4 5 6 7 8 9
Propositions: 10 11
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References
Bibliography
- Kramer Jürg, von Pippich, Anna-Maria: "Von den natürlichen Zahlen zu den Quaternionen", Springer-Spektrum, 2013
