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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E22">Def19</font></span>   defines <a href="waybel_0.html#V12" title="WAYBEL_0:attr.12">lower</a> <a onclick="hs(this)" href="javascript:()">WAYBEL_0:def 19 : <br/></a><span> for <font color="Olive" title="b1">L</font> being    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive" title="b2">X</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">L</font> holds <br/> ( <font color="Olive" title="b2">X</font> is  <a href="waybel_0.html#V12" title="WAYBEL_0:attr.12">lower</a>  iff  for <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L</font>  st <font color="Olive" title="b3">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">X</font> &amp; <font color="Olive" title="b4">y</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Olive" title="b3">x</font> holds <br/><font color="Olive" title="b4">y</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">X</font> );<br/></span></div>
