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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E13">Th20</font></span>: <a NAME="T20"><span class="comment"><font color="firebrick">:: LOPCLSET:20</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">BL</font> being   non  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>  <a href="lattices.html#NM8" title="LATTICES:NM.8">B_Lattice</a><br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">BL</font> holds  <span class="p1">(<span class="default"><a href="lopclset.html#K8" title="LOPCLSET:func.8">UFilter</a> <font color="Olive" title="b1">BL</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">a</font> <a href="lattices.html#K4" title="LATTICES:func.4">"/\"</a> <font color="Olive" title="b3">b</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="lopclset.html#K8" title="LOPCLSET:func.8">UFilter</a> <font color="Olive" title="b1">BL</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b2">a</font></span>)</span> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="lopclset.html#K8" title="LOPCLSET:func.8">UFilter</a> <font color="Olive" title="b1">BL</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">b</font></span>)</span></div></div>
