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<p>to'.</p>

<p>The examples "is greater than", "is at least as great as", and "is equal to" (<a href="page.php?w=equality_%28mathematics%29">equality</a>) are transitive relations on various sets.As are the set of real numbers or the set of natural numbers:</p>

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: whenever x &gt; y and y &gt; z, then also x &gt; z<br/>
: whenever x &ge; y and y &ge; z, then also x &ge; z<br/>
: whenever x = y and y = z, then also x = z.</p>

<p>More examples of transitive relations:<br/>
* "is a <a href="page.php?w=subset">subset</a> of" (set inclusion, a relation</p><p>
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