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<div><span class="kw">theorem </span><a NAME="T52"><span class="comment"><font color="firebrick">:: LATTAD_1:52</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  <a href="lattad_1.html#K7" title="LATTAD_1:func.7">LatRelStr</a> <font color="Olive" title="b1">L</font> is  <a href="waybel_0.html#V7" title="WAYBEL_0:attr.7">directed</a>  )</div></div>
