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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E9">Lem2</font></span>: <a NAME="T11"><span class="comment"><font color="firebrick">:: BAGORD_2:11</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="necklace.html#V2" title="NECKLACE:attr.2">asymmetric</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="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font> holds <br/> ( <font color="Olive" title="b2">x</font> <a href="bagord_2.html#R1" title="BAGORD_2:pred.1">&lt;=</a> <font color="Olive" title="b3">y</font> iff <font color="Olive" title="b2">x</font> <a href="orders_2.html#R2" title="ORDERS_2:pred.2">&lt;</a> <font color="Olive" title="b3">y</font> )</div></div>
