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<a accesskey="3" href="page.php?w=Transitive_relation&amp;p=2">3.Next</a>
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<p>In <a href="page.php?w=mathematics">mathematics</a>, a <a href="page.php?w=binary_relation">binary relation</a>  on a <a href="page.php?w=set_%28mathematics%29">set</a>  is <b>transitive</b> if, for all elements , ,  in , whenever  relates   to  and  to , then  also relates  to .</p>

<p>Every <a href="page.php?w=partial_order">partial order</a> and every <a href="page.php?w=equivalence_relation">equivalence relation</a> is transitive. For example, less than and <a href="page.php?w=equality_%28mathematics%29">equality</a> among <a href="page.php?w=real_number">real number</a>s</p><p>
<a accesskey="3" href="page.php?w=Transitive_relation&amp;p=2">3.Next</a>
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