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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/>



<a NAME="E1:27"/><i><font color="Green">E54</font></i>: 
 <a href="cqc_lang.html#K16">Ex</a> <font color="Maroon">x</font>,<font color="Maroon">p</font> is <a href="qc_lang2.html#V4">existential</a>
 
<b>by </b><i><a class="ref" href="qc_lang2.html#D13">QC_LANG2:def 13</a></i>;<br/>
<b>then consider </b><font color="Maroon">q</font> being   <a href="qc_lang1.html#NM8">QC-formula</a><b> such that </b><br/><a NAME="E3:27"/><i><font color="Green">E55</font></i>: 
 <a href="cqc_lang.html#K16">Ex</a> <font color="Maroon">x</font>,<font color="Maroon">p</font> <a href="hidden.html#R1">=</a>  <a href="qc_lang2.html#K5">Ex</a> <span class="p1">(<span class="default"><a href="goedelcp.html#K2" target="_self">Ex-bound_in</a> <span class="p2">(<span class="default"><a href="cqc_lang.html#K16">Ex</a> <font color="Maroon">x</font>,<font color="Maroon">p</font></span>)</span></span>)</span>,<font color="Maroon">q</font>
 <b>by </b><i/>;<br/>
<b>consider </b><font color="Maroon">y</font> being   <a href="qc_lang1.html#NM3">bound_QC-variable</a><b> such that </b><br/><a NAME="E5:27"/><i><font color="Green">E56</font></i>: 
 <a href="cqc_lang.html#K16">Ex</a> <font color="Maroon">x</font>,<font color="Maroon">p</font> <a href="hidden.html#R1">=</a>  <a href="cqc_lang.html#K16">Ex</a> <font color="Maroon">y</font>,<span class="p1">(<span class="default"><a href="goedelcp.html#K3" target="_self">Ex-the_scope_of</a> <span class="p2">(<span class="default"><a href="cqc_lang.html#K16">Ex</a> <font color="Maroon">x</font>,<font color="Maroon">p</font></span>)</span></span>)</span>
 <b>by </b><i>, </i>;<br/>
<b>thus </b><a NAME="E6:27"/>
(  <a href="goedelcp.html#K2" target="_self">Ex-bound_in</a> <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="hidden.html#R1">=</a> <font color="Maroon">x</font> &amp;  <a href="goedelcp.html#K3" target="_self">Ex-the_scope_of</a> <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="hidden.html#R1">=</a> <font color="Maroon">p</font> )
 <b>by </b><i>, , <a class="ref" href="qc_lang2.html#T19">QC_LANG2:19</a></i>;<br/>


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