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<b>let </b><font color="Maroon">q</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">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">m</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">i</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">f</font> be    <a href="fraenkel.html#M2">Element</a> of  <a href="fraenkel.html#K1">Funcs</a> <a href="qc_lang1.html#K2">bound_QC-variables</a> ,<a href="qc_lang1.html#K2">bound_QC-variables</a> ;<br/><b>let </b><font color="Maroon">K</font> be   <a href="finsub_1.html#NM1">Finite_Subset</a> of <a href="qc_lang1.html#K2">bound_QC-variables</a> ;<br/>











<b>assume </b><b>that </b><br/><a NAME="E1:67"/><i><font color="Green">E28</font></i>: 
<span class="p1"><a href="mcart_1.html#K4">[</a><span class="default"><font color="Maroon">q</font>,<font color="Maroon">m</font>,<font color="Maroon">K</font>,<font color="Maroon">f</font></span><a href="mcart_1.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="cqc_sim1.html#K15" target="_self">SepQuadruples</a> <font color="Maroon">p</font>
 <b>and </b><br/><a NAME="E2:67"/><i><font color="Green">E29</font></i>: 
 <a href="qc_lang3.html#K2">x.</a> <font color="Maroon">i</font> <a href="hidden.html#R2">in</a> <font color="Maroon">f</font> <a href="relat_1.html#K9">.:</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K23">still_not-bound_in</a> <font color="Maroon">q</font></span>)</span>
 ;<br/>

<a NAME="E3:67"/>
 <a href="qc_lang1.html#K23">still_not-bound_in</a> <font color="Maroon">q</font> <a href="tarski.html#R1">c=</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K23">still_not-bound_in</a> <font color="Maroon">p</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <font color="Maroon">K</font>
 
<b>by </b><i>, <a class="ref" href="cqc_sim1.html#T4" target="_self">Th4</a></i>;<br/>
<a NAME="E4:67"/><b>then </b>
<font color="Maroon">f</font> <a href="relat_1.html#K9">.:</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K23">still_not-bound_in</a> <font color="Maroon">q</font></span>)</span> <a href="tarski.html#R1">c=</a> <font color="Maroon">f</font> <a href="relat_1.html#K9">.:</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="qc_lang1.html#K23">still_not-bound_in</a> <font color="Maroon">p</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <font color="Maroon">K</font></span>)</span>
 
<b>by </b><i><a class="ref" href="relat_1.html#T156">RELAT_1:156</a></i>;<br/>
<a NAME="E5:67"/><b>then </b>
 <a href="qc_lang3.html#K2">x.</a> <font color="Maroon">i</font> <a href="hidden.html#R2">in</a> <font color="Maroon">f</font> <a href="relat_1.html#K9">.:</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="qc_lang1.html#K23">still_not-bound_in</a> <font color="Maroon">p</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <font color="Maroon">K</font></span>)</span>
 
<b>by </b><i/>;<br/>
<a NAME="E6:67"/><b>then </b>
 <a href="qc_lang3.html#K2">x.</a> <font color="Maroon">i</font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="relat_1.html#K9">.:</a> <span class="p2">(<span class="default"><a href="qc_lang1.html#K23">still_not-bound_in</a> <font color="Maroon">p</font></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="setwiseo.html#K8">.:</a> <font color="Maroon">K</font></span>)</span>
 
<b>by </b><i><a class="ref" href="relat_1.html#T153">RELAT_1:153</a></i>;<br/>
<a NAME="E7:67"/><b>then </b>
(  <a href="qc_lang3.html#K2">x.</a> <font color="Maroon">i</font> <a href="hidden.html#R2">in</a> <font color="Maroon">f</font> <a href="relat_1.html#K9">.:</a> <span class="p1">(<span class="default"><a href="qc_lang1.html#K23">still_not-bound_in</a> <font color="Maroon">p</font></span>)</span> or  <a href="qc_lang3.html#K2">x.</a> <font color="Maroon">i</font> <a href="hidden.html#R2">in</a> <font color="Maroon">f</font> <a href="setwiseo.html#K8">.:</a> <font color="Maroon">K</font> )
 
<b>by </b><i><a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<b>hence </b><a NAME="E8:67"/>
<font color="Maroon">i</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">m</font>
 <b>by </b><i>, , </i>;<br/>


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