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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E24">Th17</font></span>: <a NAME="T17"><span class="comment"><font color="firebrick">:: LATTICE6:17</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="lattice3.html#V4" title="LATTICE3:attr.4">complete</a>   <a href="lattice6.html#V1" title="LATTICE6:attr.1">noetherian</a>  <a href="lattices.html#NM1" title="LATTICES:NM.1">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">L</font>  st <font color="Olive" title="b2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Olive" title="b1">L</font> holds <br/>( <font color="Olive" title="b2">a</font> is  <a href="lattice6.html#V3" title="LATTICE6:attr.3">completely-meet-irreducible</a>  iff <font color="Olive" title="b2">a</font> <a href="lattice3.html#K4" title="LATTICE3:func.4">%</a>  is  <a href="waybel_6.html#V2" title="WAYBEL_6:attr.2">meet-irreducible</a>  )</div></div>
