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<b>let </b><font color="Maroon">p</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="cqc_lang.html#K7">CQC-WFF</a> ;<br/><b>let </b><font color="Maroon">x</font> be   <a href="qc_lang1.html#NM3">bound_QC-variable</a>;<br/><b>let </b><font color="Maroon">y</font> be   <a href="qc_lang1.html#NM3">bound_QC-variable</a>;<br/>





<b>assume </b><a NAME="E1:30"/><i><font color="Green">E37</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">y</font>
 ;<br/>

<b>thus </b><span class="p1">(<span class="default"><a href="cqc_lang.html#K16">Ex</a> <font color="Maroon">x</font>,<font color="Maroon">p</font></span>)</span> <a href="cqc_lang.html#K17">.</a> <font color="Maroon">y</font> = 
<span class="p1">(<span class="default"><a href="cqc_lang.html#K10">'not'</a> <span class="p2">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p3">(<span class="default"><a href="cqc_lang.html#K10">'not'</a> <font color="Maroon">p</font></span>)</span></span>)</span></span>)</span> <a href="cqc_lang.html#K17">.</a> <font color="Maroon">y</font>
<b>by </b><i><a class="ref" href="qc_lang2.html#D5">QC_LANG2:def 5</a></i>
<br/>.= 
 <a href="qc_lang1.html#K12">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p3">(<span class="default"><a href="cqc_lang.html#K10">'not'</a> <font color="Maroon">p</font></span>)</span></span>)</span> <a href="cqc_lang.html#K17">.</a> <font color="Maroon">y</font></span>)</span>
<b>by </b><i><a class="ref" href="cqc_lang.html#T32">CQC_LANG:32</a></i>
<br/>.= 
 <a href="qc_lang1.html#K12">'not'</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K14">All</a> <font color="Maroon">x</font>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cqc_lang.html#K10">'not'</a> <font color="Maroon">p</font></span>)</span> <a href="cqc_lang.html#K17">.</a> <font color="Maroon">y</font></span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="cqc_lang.html#T38">CQC_LANG:38</a></i>
<br/>.= 
 <a href="qc_lang1.html#K12">'not'</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K14">All</a> <font color="Maroon">x</font>,<span class="p2">(<span class="default"><a href="qc_lang1.html#K12">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="cqc_lang.html#K17">.</a> <font color="Maroon">y</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="cqc_lang.html#T32">CQC_LANG:32</a></i>
<br/>.= 
 <a href="qc_lang2.html#K5">Ex</a> <font color="Maroon">x</font>,<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="cqc_lang.html#K17">.</a> <font color="Maroon">y</font></span>)</span>
<b>by </b><i><a class="ref" href="qc_lang2.html#D5">QC_LANG2:def 5</a></i>
;<br/>


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