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<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>given </b><font color="Maroon">F</font> being    <a href="subset_1.html#M1">Element</a> of  <a href="qc_lang1.html#K8">QC-WFF</a> , <font color="Maroon">G</font> being    <a href="subset_1.html#M1">Element</a> of  <a href="qc_lang1.html#K8">QC-WFF</a> <b> such that </b><a NAME="E1:30"/><i><font color="Green">E28</font></i>: 
<font color="Maroon">H</font> <a href="hidden.html#R1">=</a> <font color="Maroon">F</font> <a href="qc_lang2.html#K3" target="_self">'or'</a> <font color="Maroon">G</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="qc_lang2.html#D10" target="_self">QC_LANG2:def 10</a><br/>

<a NAME="E2:30"/>
<font color="Maroon">F</font> <a href="qc_lang2.html#K3" target="_self">'or'</a> <font color="Maroon">G</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K12">'not'</a> <font color="Maroon">F</font></span>)</span> <a href="qc_lang2.html#K2" target="_self">=&gt;</a> <font color="Maroon">G</font>
 
;<br/>
<b>hence </b><a NAME="E3:30"/>
<font color="Maroon">H</font> is <a href="qc_lang2.html#V2" target="_self">conditional</a>
 <b>by </b><i>, </i>;<br/>

<b>thus </b><a NAME="E4:30"/>
<font color="Maroon">H</font> is <a href="qc_lang1.html#V3">negative</a>
 <b>by </b><i>, <a class="ref" href="qc_lang1.html#D18">QC_LANG1:def 18</a></i>;<br/>

<a NAME="E5:30"/><i><font color="Green">E29</font></i>: 
 <a href="qc_lang1.html#K17">the_argument_of</a> <font color="Maroon">H</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K12">'not'</a> <font color="Maroon">F</font></span>)</span> <a href="qc_lang1.html#K13">'&amp;'</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K12">'not'</a> <font color="Maroon">G</font></span>)</span>
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E6:30"/>
 <a href="qc_lang1.html#K17">the_argument_of</a> <font color="Maroon">H</font> is <a href="qc_lang1.html#V4">conjunctive</a>
 <b>by </b><i><a class="ref" href="qc_lang1.html#D19">QC_LANG1:def 19</a></i>;<br/>

<a NAME="E7:30"/>
(  <a href="qc_lang1.html#K18">the_left_argument_of</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K17">the_argument_of</a> <font color="Maroon">H</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="qc_lang1.html#K12">'not'</a> <font color="Maroon">F</font> &amp;  <a href="qc_lang1.html#K19">the_right_argument_of</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K17">the_argument_of</a> <font color="Maroon">H</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="qc_lang1.html#K12">'not'</a> <font color="Maroon">G</font> )
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E8:30"/>
(  <a href="qc_lang1.html#K18">the_left_argument_of</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K17">the_argument_of</a> <font color="Maroon">H</font></span>)</span> is <a href="qc_lang1.html#V3">negative</a> &amp;  <a href="qc_lang1.html#K19">the_right_argument_of</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K17">the_argument_of</a> <font color="Maroon">H</font></span>)</span> is <a href="qc_lang1.html#V3">negative</a> )
 <b>by </b><i><a class="ref" href="qc_lang1.html#D18">QC_LANG1:def 18</a></i>;<br/>


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