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<b>let </b><font color="Maroon" title="c1">X</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c2">L</font> be  <a href="lattice3.html#V3" title="LATTICE3:attr.3">complete</a> <a href="waybel_3.html#V3" title="WAYBEL_3:attr.3">continuous</a> <a href="waybel_0.html#NM8" title="WAYBEL_0:NM.8">LATTICE</a>;<br/><b>let </b><font color="Maroon" title="c3">G</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>





<b>assume </b><b>that </b><br/><a NAME="E1:27"/><i><font color="Green" title="E22">A1</font></i>: 
<font color="Maroon" title="c3">G</font> <a href="waybel22.html#R1" title="WAYBEL22:pred.1">is_FreeGen_set_of</a> <font color="Maroon" title="c2">L</font>
 <b>and </b><br/><a NAME="E2:27"/><i><font color="Green" title="E23">A2</font></i>: 
 <a href="card_1.html#K1" title="CARD_1:func.1">Card</a> <font color="Maroon" title="c3">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="card_1.html#K1" title="CARD_1:func.1">Card</a> <font color="Maroon" title="c1">X</font>
 ;<br/>

<a NAME="E3:27"/><i><font color="Green" title="E24">A3</font></i>: 
 <a href="waybel22.html#K1" title="WAYBEL22:func.1">FixedUltraFilters</a> <font color="Maroon" title="c1">X</font> <a href="waybel22.html#R1" title="WAYBEL22:pred.1">is_FreeGen_set_of</a>  <a href="yellow_1.html#K2" title="YELLOW_1:func.2">InclPoset</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K8" title="WAYBEL_0:func.8">Filt</a> <span class="p2">(<span class="default"><a href="yellow_1.html#K3" title="YELLOW_1:func.3">BoolePoset</a> <font color="Maroon" title="c1">X</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="waybel22.html#T16" target="_self" title="WAYBEL22:th.16">Th16</a></i>;<br/>
<a NAME="E4:27"/>
 <a href="card_1.html#K1" title="CARD_1:func.1">Card</a> <font color="Maroon" title="c1">X</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="card_1.html#K1" title="CARD_1:func.1">Card</a> <span class="p1">(<span class="default"><a href="waybel22.html#K1" title="WAYBEL22:func.1">FixedUltraFilters</a> <font color="Maroon" title="c1">X</font></span>)</span>
 
<b>by </b><i><a class="ref" href="waybel22.html#T10" target="_self" title="WAYBEL22:th.10">Th10</a></i>;<br/>
<b>hence </b><a NAME="E5:27"/>
<font color="Maroon" title="c2">L</font>, <a href="yellow_1.html#K2" title="YELLOW_1:func.2">InclPoset</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K8" title="WAYBEL_0:func.8">Filt</a> <span class="p2">(<span class="default"><a href="yellow_1.html#K3" title="YELLOW_1:func.3">BoolePoset</a> <font color="Maroon" title="c1">X</font></span>)</span></span>)</span> <a href="waybel_1.html#R5" title="WAYBEL_1:pred.5">are_isomorphic</a> 
 <b>by </b><i><a class="txt" href="waybel22.html#E1:27"><i><font color="Green" title="E22">A1</font></i></a>, <a class="txt" href="waybel22.html#E2:27"><i><font color="Green" title="E23">A2</font></i></a>, <a class="txt" href="waybel22.html#E3:27"><i><font color="Green" title="E24">A3</font></i></a>, <a class="ref" href="waybel22.html#T17" target="_self" title="WAYBEL22:th.17">Th17</a></i>;<br/>


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