Proposition: Addition of Rational Numbers Is Associative

Addition of rational numbers is associative, i.e. the law \[(x+y)+z=x+(y+z)\] is valid for all \(x,y,z\in\mathbb Q\).

Proofs: 1

Proofs: 1 2 3


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References

Bibliography

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