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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="lattice3.html#V3">complete</a> <a href="waybel_0.html#NM8">LATTICE</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be  <a href="waybel_7.html#V3">ultra</a> <a href="waybel_0.html#NM4">Filter</a> of <span class="p1">(<span class="default"><a href="yellow_1.html#K3">BoolePoset</a> <span class="p2">(<span class="default"><a href="pre_topc.html#K2">[#]</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="yellow_6.html#M2">subnet</a> of  <a href="yellow19.html#K3">a_net</a> <font color="Maroon">c<sub>2</sub></font>;<br/>





<a NAME="E1:30"/><i><font color="Green">E21</font></i>: 
 <a href="waybel33.html#K1" target="_self">lim_inf</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="waybel11.html#K1">lim_inf</a> <span class="p1">(<span class="default"><a href="yellow19.html#K3">a_net</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
 
<b>by </b><i><a class="ref" href="waybel33.html#T13" target="_self">Th13</a></i>;<br/>
<a NAME="E2:30"/>
for <font color="Olive">b<sub>1</sub></font> being <a href="waybel28.html#V1">greater_or_equal_to_id</a> <a href="struct_0.html#NM7">Function</a> of <span class="p1">(<span class="default"><a href="yellow19.html#K3">a_net</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="yellow19.html#K3">a_net</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> holds  <a href="waybel33.html#K1" target="_self">lim_inf</a> <font color="Maroon">c<sub>2</sub></font> <a href="orders_2.html#NR2" target="_self">&gt;=</a>  <a href="waybel_9.html#K2">inf</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="yellow19.html#K3">a_net</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="waybel28.html#K2">*</a> <font color="Olive">b<sub>1</sub></font></span>)</span>
 
<b>by </b><i><a class="ref" href="waybel33.html#T15" target="_self">Th15</a></i>;<br/>
<b>hence </b><a NAME="E3:30"/>
 <a href="waybel33.html#K1" target="_self">lim_inf</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="waybel11.html#K1">lim_inf</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="waybel33.html#E1:30"><i><font color="Green">E21</font></i></a>, <a class="ref" href="waybel28.html#T15">WAYBEL28:15</a></i>;<br/>


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