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<b>let </b><font color="Maroon">X</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">L</font> be  <a href="lattice3.html#V3">complete</a> <a href="waybel_3.html#V3">continuous</a> <a href="waybel_0.html#NM8">LATTICE</a>;<br/><b>let </b><font color="Maroon">G</font> be    <a href="hidden.html#M1">set</a> ;<br/>





<b>assume </b><b>that </b><br/><a NAME="E1:27"/><i><font color="Green">E31</font></i>: 
<font color="Maroon">G</font> <a href="waybel22.html#R1" target="_self">is_FreeGen_set_of</a> <font color="Maroon">L</font>
 <b>and </b><br/><a NAME="E2:27"/><i><font color="Green">E35</font></i>: 
 <a href="card_1.html#K1">Card</a> <font color="Maroon">G</font> <a href="hidden.html#R1">=</a>  <a href="card_1.html#K1">Card</a> <font color="Maroon">X</font>
 ;<br/>

<a NAME="E3:27"/><i><font color="Green">E37</font></i>: 
 <a href="waybel22.html#K1" target="_self">FixedUltraFilters</a> <font color="Maroon">X</font> <a href="waybel22.html#R1" target="_self">is_FreeGen_set_of</a>  <a href="yellow_1.html#K2">InclPoset</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K8">Filt</a> <span class="p2">(<span class="default"><a href="yellow_1.html#K3">BoolePoset</a> <font color="Maroon">X</font></span>)</span></span>)</span>
 
<b>by </b><i/>;<br/>
<a NAME="E4:27"/>
 <a href="card_1.html#K1">Card</a> <font color="Maroon">X</font> <a href="hidden.html#R1">=</a>  <a href="card_1.html#K1">Card</a> <span class="p1">(<span class="default"><a href="waybel22.html#K1" target="_self">FixedUltraFilters</a> <font color="Maroon">X</font></span>)</span>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E5:27"/>
<font color="Maroon">L</font>, <a href="yellow_1.html#K2">InclPoset</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K8">Filt</a> <span class="p2">(<span class="default"><a href="yellow_1.html#K3">BoolePoset</a> <font color="Maroon">X</font></span>)</span></span>)</span> <a href="waybel_1.html#R5">are_isomorphic</a> 
 <b>by </b><i>, , , </i>;<br/>


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