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[parent] Viewing Correction to 'law of trichotomy'
example by matte

Correction id: 3781
Filed on: 2004-03-06 12:13:08
Status: Rejected on 2004-03-06 13:02:52
Type: Addendum

Correction text:
Here, one could mention:

\begin{corollary}
 If $x$ and $y$ are real numbers with $x < y$, there exists a rational number $a$ such that $x < a < y$.
 \end{corollary}

 which is a corollary the Archimedean property of real numbers. See

http://planetmath.org/?method=src&from=objects&name=ArchimedeanProperty&op=getobj
 

Comment from object owner yark:
I don't know why you want me to add this. As you say, it's a corollary of the Archimedean property of real numbers. It's not a corollary of the law of trichotomy for real numbers. It really has nothing to do with trichotomy, since similar properties can hold in posets which do not obey the law of trichotomy.
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