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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E2">Th11</font></span>: <a NAME="T11"><span class="comment"><font color="firebrick">:: BOOLEALG:11</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="lattices.html#NM4" title="LATTICES:NM.4">0_Lattice</a><br/>  for <font color="Olive" title="b2">X</font>, <font color="Olive" title="b3">Y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L</font> holds <br/> ( <font color="Olive" title="b2">X</font> <a href="lattices.html#K3" title="LATTICES:func.3">"\/"</a> <font color="Olive" title="b3">Y</font> <a href="boolealg.html#R1" title="BOOLEALG:pred.1">=</a>  <a href="lattices.html#K5" title="LATTICES:func.5">Bottom</a> <font color="Olive" title="b1">L</font> iff ( <font color="Olive" title="b2">X</font> <a href="boolealg.html#R1" title="BOOLEALG:pred.1">=</a>  <a href="lattices.html#K5" title="LATTICES:func.5">Bottom</a> <font color="Olive" title="b1">L</font> &amp; <font color="Olive" title="b3">Y</font> <a href="boolealg.html#R1" title="BOOLEALG:pred.1">=</a>  <a href="lattices.html#K5" title="LATTICES:func.5">Bottom</a> <font color="Olive" title="b1">L</font> ) ) <span class="kw">by</span> <span class="lab"><a class="ref" href="lattices.html#T5" onmouseover="rs('lattices/T5')" onmouseout="rh()">LATTICES:5</a>, <a class="ref" href="lattices.html#T16" onmouseover="rs('lattices/T16')" onmouseout="rh()">LATTICES:16</a></span>;<br/></div></div>
