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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E28">Th54</font></span>: <a NAME="T54"><span class="comment"><font color="firebrick">:: FILTER_2:54</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">B</font> being   <a href="lattices.html#NM8" title="LATTICES:NM.8">B_Lattice</a><br/>  for <font color="Olive" title="b2">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">B</font><br/>  for <font color="Olive" title="b3">a9</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">B</font> <a href="lattice2.html#K1" title="LATTICE2:func.1">.:</a></span>)</span> holds <br/> ( <span class="p1">(<span class="default"><font color="Olive" title="b2">a</font> <a href="filter_2.html#K1" title="FILTER_2:func.1">.:</a></span>)</span> <a href="lattices.html#K7" title="LATTICES:func.7">`</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">a</font> <a href="lattices.html#K7" title="LATTICES:func.7">`</a>  &amp; <span class="p1">(<span class="default"><a href="filter_2.html#K2" title="FILTER_2:func.2">.:</a> <font color="Olive" title="b3">a9</font></span>)</span> <a href="lattices.html#K7" title="LATTICES:func.7">`</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">a9</font> <a href="lattices.html#K7" title="LATTICES:func.7">`</a>  )</div></div>
