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<b>let </b><font color="Maroon">F</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="qc_lang1.html#K8">QC-WFF</a> ;<br/><b>let </b><font color="Maroon">G</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="qc_lang1.html#K8">QC-WFF</a> ;<br/><b>let </b><font color="Maroon">H</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="qc_lang1.html#K8">QC-WFF</a> ;<br/>





<b>assume </b><a NAME="E1:62"/><i><font color="Green">E28</font></i>: 
( ( <font color="Maroon">F</font> <a href="qc_lang2.html#R3" target="_self">is_proper_subformula_of</a> <font color="Maroon">G</font> &amp; <font color="Maroon">G</font> <a href="qc_lang2.html#R2" target="_self">is_subformula_of</a> <font color="Maroon">H</font> ) or ( <font color="Maroon">F</font> <a href="qc_lang2.html#R2" target="_self">is_subformula_of</a> <font color="Maroon">G</font> &amp; <font color="Maroon">G</font> <a href="qc_lang2.html#R3" target="_self">is_proper_subformula_of</a> <font color="Maroon">H</font> ) or ( <font color="Maroon">F</font> <a href="qc_lang2.html#R2" target="_self">is_subformula_of</a> <font color="Maroon">G</font> &amp; <font color="Maroon">G</font> <a href="qc_lang2.html#R1" target="_self">is_immediate_constituent_of</a> <font color="Maroon">H</font> ) or ( <font color="Maroon">F</font> <a href="qc_lang2.html#R1" target="_self">is_immediate_constituent_of</a> <font color="Maroon">G</font> &amp; <font color="Maroon">G</font> <a href="qc_lang2.html#R2" target="_self">is_subformula_of</a> <font color="Maroon">H</font> ) or ( <font color="Maroon">F</font> <a href="qc_lang2.html#R3" target="_self">is_proper_subformula_of</a> <font color="Maroon">G</font> &amp; <font color="Maroon">G</font> <a href="qc_lang2.html#R1" target="_self">is_immediate_constituent_of</a> <font color="Maroon">H</font> ) or ( <font color="Maroon">F</font> <a href="qc_lang2.html#R1" target="_self">is_immediate_constituent_of</a> <font color="Maroon">G</font> &amp; <font color="Maroon">G</font> <a href="qc_lang2.html#R3" target="_self">is_proper_subformula_of</a> <font color="Maroon">H</font> ) )
 ;<br/>

<a NAME="E2:62"/><b>then </b>
( <font color="Maroon">F</font> <a href="qc_lang2.html#R2" target="_self">is_subformula_of</a> <font color="Maroon">G</font> &amp; <font color="Maroon">G</font> <a href="qc_lang2.html#R2" target="_self">is_subformula_of</a> <font color="Maroon">H</font> )
 
<b>by </b><i><a class="ref" href="qc_lang2.html#T4" target="_self">Th4</a>, <a class="ref" href="qc_lang2.html#T6" target="_self">Th6</a></i>;<br/>
<b>hence </b><a NAME="E3:62"/>
<font color="Maroon">F</font> <a href="qc_lang2.html#R2" target="_self">is_subformula_of</a> <font color="Maroon">H</font>
 <b>by </b><i><a class="ref" href="qc_lang2.html#T19" target="_self">Th19</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="qc_lang2.html#D22" target="_self">QC_LANG2:def 22</a><br/>

<b>thus </b><a NAME="E4:62"/>
<font color="Maroon">F</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">H</font>
 <b>by </b><i><a class="ref" href="qc_lang2.html#T22" target="_self">Th22</a>, , , </i>;<br/>


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