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<b>let </b><font color="Maroon">L</font> be  <a href="lattice3.html#V3">complete</a> <a href="waybel_0.html#NM8">LATTICE</a>;<br/><b>let </b><font color="Maroon">N</font> be  <a href="yellow_6.html#V1">constant</a> <a href="waybel_0.html#NM2">net</a> of <font color="Maroon">L</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="yellow_6.html#D23">YELLOW_6:def 23</a><br/>



<b>assume </b><a NAME="E1:28"/><i><font color="Green">E25</font></i>: 
<font color="Maroon">N</font> <a href="hidden.html#R2">in</a>  <a href="yellow_6.html#K7">NetUniv</a> <font color="Maroon">L</font>
 ;<br/>

<a NAME="E2:28"/>
for <font color="Olive">M</font> being   <a href="yellow_6.html#M2">subnet</a> of <font color="Maroon">N</font> holds   <a href="yellow_6.html#K5">the_value_of</a> <font color="Maroon">N</font> <a href="hidden.html#R1">=</a>  <a href="waybel11.html#K1">lim_inf</a> <font color="Olive">M</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="28_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">M</font> be    <a href="yellow_6.html#M2">subnet</a> of <font color="Maroon">N</font>;<br/>

<a NAME="E1:28_1"/><i><font color="Green">E28</font></i>: 
<font color="Maroon">M</font> is <a href="yellow_6.html#V1">constant</a>
 
<b>by </b><i/>;<br/>
<b>thus </b> <a href="yellow_6.html#K5">the_value_of</a> <font color="Maroon">N</font> = 
 <a href="yellow_6.html#K5">the_value_of</a> <font color="Maroon">M</font>
<b>by </b><i/>
<br/>.= 
 <a href="waybel11.html#K1">lim_inf</a> <font color="Maroon">M</font>
<b>by </b><i>, <a class="ref" href="waybel11.html#T23">WAYBEL11:23</a></i>
;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E3:28"/>
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">N</font>,<span class="p2">(<span class="default"><a href="yellow_6.html#K5">the_value_of</a> <font color="Maroon">N</font></span>)</span></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="waybel28.html#K3" target="_self">lim_inf-Convergence</a> <font color="Maroon">L</font>
 <b>by </b><i>, </i>;<br/>


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