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<div class="add">

<b>let </b><font color="Maroon" title="c2">CP</font> be    <a href="conlat_1.html#L3" title="CONLAT_1:struct.3">ConceptStr</a> of <font color="Maroon" title="c1">C</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">CP</font> is <a href="conlat_1.html#V7" title="CONLAT_1:attr.7">empty</a></span><br/>

<a NAME="E1:39_1_1"/><i><font color="Green" title="E22">A1</font></i>: 
the <a href="conlat_1.html#U4" title="CONLAT_1:sel.4">Extent</a> of <font color="Maroon" title="c2">CP</font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="39_1_1_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:39_1_1_1"/><i><font color="Green" title="E23">A2</font></i>: 
not the <a href="conlat_1.html#U4" title="CONLAT_1:sel.4">Extent</a> of <font color="Maroon" title="c2">CP</font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> contradiction</span><br/>

<b>consider </b><font color="Maroon" title="c3">x</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of the <a href="conlat_1.html#U4" title="CONLAT_1:sel.4">Extent</a> of <font color="Maroon" title="c2">CP</font>;<br/>
<a NAME="E3:39_1_1_1"/>
<font color="Maroon" title="c3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="conlat_1.html#U4" title="CONLAT_1:sel.4">Extent</a> of <font color="Maroon" title="c2">CP</font>
 
<b>by </b><i><a class="txt" href="conlat_1.html#E1:39_1_1_1"><i><font color="Green" title="E23">A2</font></i></a></i>;<br/>
<b>hence </b><a NAME="E4:39_1_1_1"/>
contradiction
 <b>by </b><i><a class="ref" href="conlat_1.html#D1" target="_self" title="CONLAT_1:def.1">Def1</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div><b>end;</b></div>
<a NAME="E2:39_1_1"/>
the <a href="conlat_1.html#U5" title="CONLAT_1:sel.5">Intent</a> of <font color="Maroon" title="c2">CP</font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="39_1_1_2"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:39_1_1_2"/><i><font color="Green" title="E23">A3</font></i>: 
not the <a href="conlat_1.html#U5" title="CONLAT_1:sel.5">Intent</a> of <font color="Maroon" title="c2">CP</font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> contradiction</span><br/>

<b>consider </b><font color="Maroon" title="c3">x</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of the <a href="conlat_1.html#U5" title="CONLAT_1:sel.5">Intent</a> of <font color="Maroon" title="c2">CP</font>;<br/>
<a NAME="E3:39_1_1_2"/>
<font color="Maroon" title="c3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> the <a href="conlat_1.html#U5" title="CONLAT_1:sel.5">Intent</a> of <font color="Maroon" title="c2">CP</font>
 
<b>by </b><i><a class="txt" href="conlat_1.html#E1:39_1_1_2"><i><font color="Green" title="E23">A3</font></i></a></i>;<br/>
<b>hence </b><a NAME="E4:39_1_1_2"/>
contradiction
 <b>by </b><i><a class="ref" href="conlat_1.html#D1" target="_self" title="CONLAT_1:def.1">Def1</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E3:39_1_1"/>
<font color="Maroon" title="c2">CP</font> is <a href="conlat_1.html#V7" title="CONLAT_1:attr.7">empty</a>
 <b>by </b><i><a class="txt" href="conlat_1.html#E1:39_1_1"><i><font color="Green" title="E22">A1</font></i></a>, <a class="ref" href="conlat_1.html#D11" target="_self" title="CONLAT_1:def.11">Def11</a></i>; <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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