<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T19"><span class="comment"><font color="firebrick">:: WAYBEL23:19</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive" title="b2">S</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">S</font> is  <a href="waybel23.html#V3" title="WAYBEL23:attr.3">infs-closed</a>  iff  for <font color="Olive" title="b3">X</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Olive" title="b2">S</font>  st  <a href="yellow_0.html#R2" title="YELLOW_0:pred.2">ex_inf_of</a> <font color="Olive" title="b3">X</font>,<font color="Olive" title="b1">L</font> holds <br/> <a href="yellow_0.html#K2" title="YELLOW_0:func.2">"/\"</a> (<font color="Olive" title="b3">X</font>,<font color="Olive" title="b1">L</font>) <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">S</font> )</div></div>
