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<div><span class="kw">theorem </span><a NAME="T35"><span class="comment"><font color="firebrick">:: FILTER_1:35</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L1</font>, <font color="Olive" title="b2">L2</font> being   <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a><br/>  for <font color="Olive" title="b3">p1</font>, <font color="Olive" title="b4">q1</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L1</font><br/>  for <font color="Olive" title="b5">p2</font>, <font color="Olive" title="b6">q2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b2">L2</font> holds <br/> ( <span class="p1"><a href="filter_1.html#K9" title="FILTER_1:func.9">[</a><span class="default"><font color="Olive" title="b3">p1</font>,<font color="Olive" title="b5">p2</font></span><a href="filter_1.html#K9" title="FILTER_1:func.9">]</a></span> <a href="lattices.html#K3" title="LATTICES:func.3">"\/"</a> <span class="p1"><a href="filter_1.html#K9" title="FILTER_1:func.9">[</a><span class="default"><font color="Olive" title="b4">q1</font>,<font color="Olive" title="b6">q2</font></span><a href="filter_1.html#K9" title="FILTER_1:func.9">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_1.html#K9" title="FILTER_1:func.9">[</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b3">p1</font> <a href="lattices.html#K3" title="LATTICES:func.3">"\/"</a> <font color="Olive" title="b4">q1</font></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b5">p2</font> <a href="lattices.html#K3" title="LATTICES:func.3">"\/"</a> <font color="Olive" title="b6">q2</font></span>)</span></span><a href="filter_1.html#K9" title="FILTER_1:func.9">]</a></span> &amp; <span class="p1"><a href="filter_1.html#K9" title="FILTER_1:func.9">[</a><span class="default"><font color="Olive" title="b3">p1</font>,<font color="Olive" title="b5">p2</font></span><a href="filter_1.html#K9" title="FILTER_1:func.9">]</a></span> <a href="lattices.html#K4" title="LATTICES:func.4">"/\"</a> <span class="p1"><a href="filter_1.html#K9" title="FILTER_1:func.9">[</a><span class="default"><font color="Olive" title="b4">q1</font>,<font color="Olive" title="b6">q2</font></span><a href="filter_1.html#K9" title="FILTER_1:func.9">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_1.html#K9" title="FILTER_1:func.9">[</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b3">p1</font> <a href="lattices.html#K4" title="LATTICES:func.4">"/\"</a> <font color="Olive" title="b4">q1</font></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b5">p2</font> <a href="lattices.html#K4" title="LATTICES:func.4">"/\"</a> <font color="Olive" title="b6">q2</font></span>)</span></span><a href="filter_1.html#K9" title="FILTER_1:func.9">]</a></span> ) <span class="kw">by</span> <span class="lab"><a class="ref" href="filter_1.html#T21" target="_self" onmouseover="rs('filter_1/T21')" onmouseout="rh()">Th21</a></span>;<br/></div></div>
