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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E17">Def4</font></span>   defines <a href="filter_0.html#K3" title="FILTER_0:func.3">&lt;.</a> <a onclick="hs(this)" href="javascript:()">FILTER_0:def 4 : <br/></a><span> for <font color="Olive" title="b1">L</font> being   <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a><br/>  for <font color="Olive" title="b2">D</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">L</font><br/>  for <font color="Olive">b<sub>3</sub></font> being   <a href="filter_0.html#NM1" title="FILTER_0:NM.1">Filter</a> of <font color="Olive" title="b1">L</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_0.html#K3" title="FILTER_0:func.3">&lt;.</a><span class="default"><font color="Olive" title="b2">D</font></span><a href="filter_0.html#K3" title="FILTER_0:func.3">.)</a></span> iff ( <font color="Olive" title="b2">D</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive">b<sub>3</sub></font> &amp; (  for <font color="Olive" title="b4">F</font> being   <a href="filter_0.html#NM1" title="FILTER_0:NM.1">Filter</a> of <font color="Olive" title="b1">L</font>  st <font color="Olive" title="b2">D</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b4">F</font> holds <br/><font color="Olive">b<sub>3</sub></font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b4">F</font> ) ) );<br/></span></div>
