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<b>consider </b><font color="Maroon">p'</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">H</font>, <font color="Maroon">q'</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">H</font><b> such that </b><br/><a NAME="E2:50_1_1"/><i><font color="Green">E18</font></i>: 
<font color="Maroon">p'</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">q'</font>
 <b>by </b><i><a class="ref" href="realset2.html#D7">REALSET2:def 7</a></i>;<br/>
<a NAME="E3:50_1_1"/>
 ex <font color="Olive">F</font> being   <a href="filter_0.html#M1">Filter</a> of <font color="Maroon">H</font> st <font color="Olive">F</font> <a href="hidden.html#R2">in</a>  <a href="openlatt.html#K7" target="_self">F_primeSet</a> <font color="Maroon">H</font>
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E4:50_1_1"/>
not  <a href="openlatt.html#K7" target="_self">F_primeSet</a> <font color="Maroon">H</font> is <a href="xboole_0.html#V1">empty</a>
 ;<br/>


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