example of law of trichotomy on ¡
From the axiomatic definition of the real numbers, “$$” is a relation on $\mathbb{R}$ which satisfies the law of trichotomy. That is, for all $a,b\in \mathbb{R}$, exactly one of the following is true:

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$$

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$$

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$a=b$
As an axiom, this is sometimes expressed with $b=0$. That is, for all $a\in \mathbb{R}$, $a$ is either positive, negative, or zero.
Title  example of law of trichotomy on ¡ 

Canonical name  ExampleOfLawOfTrichotomyOn 
Date of creation  20130322 17:15:07 
Last modified on  20130322 17:15:07 
Owner  me_and (17092) 
Last modified by  me_and (17092) 
Numerical id  5 
Author  me_and (17092) 
Entry type  Example 
Classification  msc 06A05 
Classification  msc 03E20 