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<b>consider </b><font color="Maroon" title="c2">F</font> being  <a href="subset_1.html#V1" title="SUBSET_1:attr.1">proper</a> <a href="waybel_0.html#NM4" title="WAYBEL_0:NM.4">Filter</a> of <span class="p1">(<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>;<br/>
<a NAME="E2:42_1_1"/>
 ex <font color="Olive" title="b1">G</font> being  <a href="waybel_0.html#NM4" title="WAYBEL_0:NM.4">Filter</a> of <span class="p1">(<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> st <br/>( <font color="Maroon" title="c2">F</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b1">G</font> &amp; <font color="Olive" title="b1">G</font> is <a href="waybel_7.html#V3" title="WAYBEL_7:attr.3">ultra</a> )
 
<b>by </b><i><a class="ref" href="waybel_7.html#T30" target="_self" title="WAYBEL_7:th.30">Th30</a></i>;<br/>
<b>hence </b><a NAME="E3:42_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being  <a href="waybel_0.html#NM4" title="WAYBEL_0:NM.4">Filter</a> of <span class="p1">(<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> st <font color="Olive">b<sub>1</sub></font> is <a href="waybel_7.html#V3" title="WAYBEL_7:attr.3">ultra</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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