◀ ▲ ▶Branches / Numbersystemsarithmetics / Proposition: Existence of Rational Zero (Neutral Element of Addition of Rational Numbers)
Proposition: Existence of Rational Zero (Neutral Element of Addition of Rational Numbers)
There exists a rational number \(0\in\mathbb Q\) such that \[x+0=0+x=x\] for all \(x\in\mathbb Q\), i.e. \(0\) is neutral with respect to the addition or rational numbers.
Table of Contents
Proofs: 1
Mentioned in:
Definitions: 1 2
Proofs: 3 4 5 6 7 8 9 10
Propositions: 11
Thank you to the contributors under CC BYSA 4.0!
 Github:

References
Bibliography
 Kramer Jürg, von Pippich, AnnaMaria: "Von den natürlichen Zahlen zu den Quaternionen", SpringerSpektrum, 2013