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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E2">Th3</font></span>: <a NAME="T3"><span class="comment"><font color="firebrick">:: WAYBEL28:3</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="lattice3.html#V3" title="LATTICE3:attr.3">complete</a>  <a href="waybel_0.html#NM8" title="WAYBEL_0:NM.8">LATTICE</a><br/>  for <font color="Olive" title="b2">N</font> being   <a href="waybel_0.html#NM2" title="WAYBEL_0:NM.2">net</a> of <font color="Olive" title="b1">L</font><br/>  for <font color="Olive" title="b3">x</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">N</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="yellow_6.html#K5" title="YELLOW_6:func.5">NetUniv</a> <font color="Olive" title="b1">L</font> &amp; (  for <font color="Olive" title="b4">M</font> being    <a href="yellow_6.html#M2" title="YELLOW_6:mode.2">subnet</a> of <font color="Olive" title="b2">N</font>  st <font color="Olive" title="b4">M</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="yellow_6.html#K5" title="YELLOW_6:func.5">NetUniv</a> <font color="Olive" title="b1">L</font> holds <br/><font color="Olive" title="b3">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="waybel11.html#K1" title="WAYBEL11:func.1">lim_inf</a> <font color="Olive" title="b4">M</font> ) holds <br/>( <font color="Olive" title="b3">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="waybel11.html#K1" title="WAYBEL11:func.1">lim_inf</a> <font color="Olive" title="b2">N</font> &amp; (  for <font color="Olive" title="b4">M</font> being    <a href="yellow_6.html#M2" title="YELLOW_6:mode.2">subnet</a> of <font color="Olive" title="b2">N</font>  st <font color="Olive" title="b4">M</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="yellow_6.html#K5" title="YELLOW_6:func.5">NetUniv</a> <font color="Olive" title="b1">L</font> holds <br/><font color="Olive" title="b3">x</font> <a href="orders_2.html#NR2" title="ORDERS_2:NR.2">&gt;=</a>  <a href="waybel_9.html#K1" title="WAYBEL_9:func.1">inf</a> <font color="Olive" title="b4">M</font> ) )</div></div>
