<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T27"><span class="comment"><font color="firebrick">:: LATTICES:27</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a><br/>  for <font color="Olive" title="b2">S</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="lattices.html#V18" title="LATTICES:attr.18">initial</a>   <a href="lattices.html#V19" title="LATTICES:attr.19">final</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">L</font> holds  <font color="Olive" title="b2">S</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Olive" title="b1">L</font></div></div>
