<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T54"><span class="comment"><font color="firebrick">:: LATTAD_1:54</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="lattad_1.html#NM2" title="LATTAD_1:NM.2">GAD_Lattice</a> holds <br/> ( <font color="Olive" title="b1">L</font> is  <a href="lattices.html#V4" title="LATTICES:attr.4">join-commutative</a>  iff <font color="Olive" title="b1">L</font> is  <a href="lattices.html#V6" title="LATTICES:attr.6">meet-commutative</a>  ) <span class="kw">by</span> <span class="lab"><a class="txt" href="lattad_1.html#E83"><span class="lab"><font color="Green" title="E53">Th31145</font></span></a></span>;<br/></div></div>
