<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E15">Th18</font></span>: <a NAME="T18"><span class="comment"><font color="firebrick">:: LATTICE4:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L2</font> being   <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a><br/>  for <font color="Olive" title="b2">1L</font> being   <a href="lattices.html#V14" title="LATTICES:attr.14">upper-bounded</a>  <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a><br/>  for <font color="Olive" title="b3">f</font> being   <a href="lattice4.html#NM1" title="LATTICE4:NM.1">Homomorphism</a> of <font color="Olive" title="b2">1L</font>,<font color="Olive" title="b1">L2</font>  st <font color="Olive" title="b3">f</font> is  <a href="funct_2.html#V2" title="FUNCT_2:attr.2">onto</a>  holds <br/>( <font color="Olive" title="b1">L2</font> is  <a href="lattices.html#V14" title="LATTICES:attr.14">upper-bounded</a>  &amp; <font color="Olive" title="b3">f</font> <a href="lattice4.html#R2" title="LATTICE4:pred.2">preserves_top</a>  )</div></div>
