Proposition: Order Relation for Integers is Strict Total
The order relation for integers "$<$" defines a strict total order on the set $\mathbb Z$ of integers, i.e. for any integers \(x,y,z\in\mathbb Z\), we have
- Only one of the following cases can be true: either \(x=y\), or \(x > y\), or \(x < y\) trichotomy).
- If $x < y$ and $y < z$, then $x < z$ transitivity).
- The same applies for the relation "$ > $".
Table of Contents
Proofs: 1
Mentioned in:
Explanations: 1
Proofs: 2
Thank you to the contributors under CC BY-SA 4.0! 
- Github:
-
