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<b>let </b><font color="Maroon" title="c1">G</font>, <font color="Maroon" title="c2">H</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="qc_lang1.html#K8" title="QC_LANG1:func.8">QC-WFF</a> ;<br/>



<b>assume </b><a NAME="E1:59"/>
( <font color="Maroon" title="c1">G</font> <a href="qc_lang2.html#R2" title="QC_LANG2:pred.2">is_subformula_of</a> <font color="Maroon" title="c2">H</font> &amp; <font color="Maroon" title="c1">G</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c2">H</font> &amp; <font color="Maroon" title="c2">H</font> <a href="qc_lang2.html#R3" title="QC_LANG2:pred.3">is_proper_subformula_of</a> <font color="Maroon" title="c1">G</font> )
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="qc_lang2.html#D22" target="_self" title="QC_LANG2:def.22">QC_LANG2:def 22</a><br/>

<b>hence </b><a NAME="E2:59"/>
contradiction
 <b>by </b><i><a class="ref" href="qc_lang2.html#T79" target="_self" title="QC_LANG2:th.79">Th79</a></i>;<br/>


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