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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E23">Th27</font></span>: <a NAME="T27"><span class="comment"><font color="firebrick">:: NECKLA_3:27</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="necklace.html#V1" title="NECKLACE:attr.1">symmetric</a>   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st  the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Olive" title="b1">R</font> <a href="rewrite1.html#R1" title="REWRITE1:pred.1">reduces</a> <font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y</font> holds <br/> the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Olive" title="b1">R</font> <a href="rewrite1.html#R1" title="REWRITE1:pred.1">reduces</a> <font color="Olive" title="b3">y</font>,<font color="Olive" title="b2">x</font></div></div>
