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<b>thus </b><a NAME="E1:45"/>
( not  <a href="qc_lang1.html#K11" target="_self">VERUM</a>  is <a href="qc_lang1.html#V2" target="_self">atomic</a> &amp; not  <a href="qc_lang1.html#K11" target="_self">VERUM</a>  is <a href="qc_lang1.html#V3" target="_self">negative</a> &amp; not  <a href="qc_lang1.html#K11" target="_self">VERUM</a>  is <a href="qc_lang1.html#V4" target="_self">conjunctive</a> &amp; not  <a href="qc_lang1.html#K11" target="_self">VERUM</a>  is <a href="qc_lang1.html#V5" target="_self">universal</a> )
 <b>by </b><i><a class="ref" href="qc_lang1.html#T49" target="_self">Th49</a>, <a class="ref" href="qc_lang1.html#T50" target="_self">Th50</a></i>;<br/>

<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="subset_1.html#M1">Element</a> of  <a href="qc_lang1.html#K8" target="_self">QC-WFF</a> ;<br/>

<a NAME="E2:45"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="qc_lang1.html#K10" target="_self">@</a> <a href="qc_lang1.html#K11" target="_self">VERUM</a> </span>)</span> <a href="funct_1.html#K1">.</a> 1</span>)</span> <a href="mcart_1.html#K1">`1</a>  <a href="hidden.html#R1">=</a> 0 &amp; ( <font color="Maroon">c<sub>1</sub></font> is <a href="qc_lang1.html#V3" target="_self">negative</a> implies <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="qc_lang1.html#K10" target="_self">@</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> 1</span>)</span> <a href="mcart_1.html#K1">`1</a>  <a href="hidden.html#R1">=</a> 1 ) &amp; ( <font color="Maroon">c<sub>1</sub></font> is <a href="qc_lang1.html#V4" target="_self">conjunctive</a> implies <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="qc_lang1.html#K10" target="_self">@</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> 1</span>)</span> <a href="mcart_1.html#K1">`1</a>  <a href="hidden.html#R1">=</a> 2 ) &amp; ( <font color="Maroon">c<sub>1</sub></font> is <a href="qc_lang1.html#V5" target="_self">universal</a> implies <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="qc_lang1.html#K10" target="_self">@</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> 1</span>)</span> <a href="mcart_1.html#K1">`1</a>  <a href="hidden.html#R1">=</a> 3 ) )
 
<b>by </b><i><a class="ref" href="qc_lang1.html#T49" target="_self">Th49</a></i>;<br/>
<b>hence </b><a NAME="E3:45"/>
( not <!--HUMANRECFAILED-->( <font color="Maroon">c<sub>1</sub></font> is <a href="qc_lang1.html#V2" target="_self">atomic</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="qc_lang1.html#V3" target="_self">negative</a> ) &amp; not <!--HUMANRECFAILED-->( <font color="Maroon">c<sub>1</sub></font> is <a href="qc_lang1.html#V2" target="_self">atomic</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="qc_lang1.html#V4" target="_self">conjunctive</a> ) &amp; not <!--HUMANRECFAILED-->( <font color="Maroon">c<sub>1</sub></font> is <a href="qc_lang1.html#V2" target="_self">atomic</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="qc_lang1.html#V5" target="_self">universal</a> ) &amp; not <!--HUMANRECFAILED-->( <font color="Maroon">c<sub>1</sub></font> is <a href="qc_lang1.html#V3" target="_self">negative</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="qc_lang1.html#V4" target="_self">conjunctive</a> ) &amp; not <!--HUMANRECFAILED-->( <font color="Maroon">c<sub>1</sub></font> is <a href="qc_lang1.html#V3" target="_self">negative</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="qc_lang1.html#V5" target="_self">universal</a> ) &amp; not <!--HUMANRECFAILED-->( <font color="Maroon">c<sub>1</sub></font> is <a href="qc_lang1.html#V4" target="_self">conjunctive</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="qc_lang1.html#V5" target="_self">universal</a> ) )
 <b>by </b><i><a class="ref" href="qc_lang1.html#T50" target="_self">Th50</a></i>;<br/>


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