<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">CP</font> be    <a href="conlat_1.html#L3" target="_self">ConceptStr</a> of <font color="Maroon">C</font>;<br/>

<a NAME="E1:40_1_1"/>
( the <a href="conlat_1.html#U4" target="_self">Extent</a> of <font color="Maroon">CP</font> is <a href="xboole_0.html#V1">empty</a> or the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">CP</font> is <a href="xboole_0.html#V1">empty</a> )
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="40_1_1_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:40_1_1_1"/><i><font color="Green">E29</font></i>: 
not the <a href="conlat_1.html#U4" target="_self">Extent</a> of <font color="Maroon">CP</font> is <a href="xboole_0.html#V1">empty</a>
 ;<br/>

<b>consider </b><font color="Maroon">x</font> being    <a href="subset_1.html#M1">Element</a> of the <a href="conlat_1.html#U4" target="_self">Extent</a> of <font color="Maroon">CP</font>;<br/>
<a NAME="E3:40_1_1_1"/><i><font color="Green">E32</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="conlat_1.html#U4" target="_self">Extent</a> of <font color="Maroon">CP</font>
 
<b>by </b><i/>;<br/>
<b>thus </b><a NAME="E4:40_1_1_1"/>
the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">CP</font> is <a href="xboole_0.html#V1">empty</a>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="40_1_1_1_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:40_1_1_1_1"/><i><font color="Green">E33</font></i>: 
not the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">CP</font> is <a href="xboole_0.html#V1">empty</a>
 ;<br/>

<b>consider </b><font color="Maroon">x</font> being    <a href="subset_1.html#M1">Element</a> of the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">CP</font>;<br/>
<a NAME="E3:40_1_1_1_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="conlat_1.html#U5" target="_self">Intent</a> of <font color="Maroon">CP</font>
 
<b>by </b><i><a class="ref" href="conlat_1.html#D6" target="_self">Def6</a></i>;<br/>
<b>hence </b><a NAME="E4:40_1_1_1_1"/>
contradiction
 <b>by </b><i><a class="ref" href="conlat_1.html#D5" target="_self">Def5</a>, </i>;<br/>


</div><b>end;</b></div>


</div><b>end;</b></div>
<b>hence </b><a NAME="E2:40_1_1"/>
<font color="Maroon">CP</font> is <a href="conlat_1.html#V8" target="_self">quasi-empty</a>
 <b>by </b><i/>;<br/>


</div>
