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<span class="kw">let </span><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#K3" title="CQC_LANG:func.3">CQC-WFF</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">X</font> <a href="henmodel.html#R1" title="HENMODEL:pred.1">|-</a>  <a href="cqc_lang.html#K6" title="CQC_LANG:func.6">'not'</a> <a href="cqc_lang.html#K5" title="CQC_LANG:func.5">VERUM</a> iff  not <font color="Maroon" title="c1">X</font> is  <a href="henmodel.html#V1" title="HENMODEL:attr.1">Consistent</a>  )</span><br/>

<span class="kw">thus </span><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#K6" title="CQC_LANG:func.6">'not'</a> <a href="cqc_lang.html#K5" title="CQC_LANG:func.5">VERUM</a> implies  not <font color="Maroon" title="c1">X</font> is  <a href="henmodel.html#V1" title="HENMODEL:attr.1">Consistent</a>  )
  <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  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#K6" title="CQC_LANG:func.6">'not'</a> <a href="cqc_lang.html#K5" title="CQC_LANG:func.5">VERUM</a> )</span><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="29_1"><span class="kw">proof </span></a><div class="add">

<span class="kw">assume </span><a NAME="E1:29_1"/><span class="lab"><font color="Green" title="E29">A1</font></span>: 
<font color="Maroon" title="c1">X</font> <a href="henmodel.html#R1" title="HENMODEL:pred.1">|-</a>  <a href="cqc_lang.html#K6" title="CQC_LANG:func.6">'not'</a> <a href="cqc_lang.html#K5" title="CQC_LANG:func.5">VERUM</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not <font color="Maroon" title="c1">X</font> is  <a href="henmodel.html#V1" title="HENMODEL:attr.1">Consistent</a> </span><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#K5" title="CQC_LANG:func.5">VERUM</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="goedelcp.html#T23" target="_self" title="GOEDELCP:th.23">Th23</a></span>;<br/>
<span class="kw">hence </span><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> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:29_1"><span class="lab"><font color="Green" title="E29">A1</font></span></a>, <a class="ref" href="henmodel.html#D2" title="HENMODEL:def.2">HENMODEL:def 2</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div>

<span class="kw">thus </span><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#K6" title="CQC_LANG:func.6">'not'</a> <a href="cqc_lang.html#K5" title="CQC_LANG:func.5">VERUM</a> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="henmodel.html#T6" title="HENMODEL:th.6">HENMODEL:6</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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