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

<b>let </b><font color="Maroon" title="c1">X</font> be   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="cqc_lang.html#K7" title="CQC_LANG:func.7">CQC-WFF</a> ;<br/>

<b>thus </b><a NAME="E1:29"/>
( <font color="Maroon" title="c1">X</font> <a href="henmodel.html#R1" title="HENMODEL:pred.1">|-</a>  <a href="cqc_lang.html#K10" title="CQC_LANG:func.10">'not'</a> <a href="cqc_lang.html#K9" title="CQC_LANG:func.9">VERUM</a>  implies  not <font color="Maroon" title="c1">X</font> is <a href="henmodel.html#V1" title="HENMODEL:attr.1">Consistent</a> )
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="29_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:29_1"/><i><font color="Green" title="E32">A1</font></i>: 
<font color="Maroon" title="c1">X</font> <a href="henmodel.html#R1" title="HENMODEL:pred.1">|-</a>  <a href="cqc_lang.html#K10" title="CQC_LANG:func.10">'not'</a> <a href="cqc_lang.html#K9" title="CQC_LANG:func.9">VERUM</a> 
 ;<br/>

<a NAME="E2:29_1"/>
<font color="Maroon" title="c1">X</font> <a href="henmodel.html#R1" title="HENMODEL:pred.1">|-</a>  <a href="cqc_lang.html#K9" title="CQC_LANG:func.9">VERUM</a> 
 
<b>by </b><i><a class="ref" href="goedelcp.html#T23" target="_self" title="GOEDELCP:th.23">Th23</a></i>;<br/>
<b>hence </b><a NAME="E3:29_1"/>
not <font color="Maroon" title="c1">X</font> is <a href="henmodel.html#V1" title="HENMODEL:attr.1">Consistent</a>
 <b>by </b><i><a class="txt" href="goedelcp.html#E1:29_1"><i><font color="Green" title="E32">A1</font></i></a>, <a class="ref" href="henmodel.html#D3" title="HENMODEL:def.3">HENMODEL:def 3</a></i>;<br/>


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

<b>thus </b><a NAME="E2:29"/>
( not <font color="Maroon" title="c1">X</font> is <a href="henmodel.html#V1" title="HENMODEL:attr.1">Consistent</a> implies <font color="Maroon" title="c1">X</font> <a href="henmodel.html#R1" title="HENMODEL:pred.1">|-</a>  <a href="cqc_lang.html#K10" title="CQC_LANG:func.10">'not'</a> <a href="cqc_lang.html#K9" title="CQC_LANG:func.9">VERUM</a>  )
 <b>by </b><i><a class="ref" href="henmodel.html#T6" title="HENMODEL:th.6">HENMODEL:6</a></i>;<br/>


</div>
