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<b>consider </b><font color="Maroon">c<sub>2</sub></font> being    <a href="subset_1.html#M1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><a href="substut1.html#K16">QC-Sub-WFF</a> ,<a href="qc_lang1.html#K2">bound_QC-variables</a> </span><a href="zfmisc_1.html#K2">:]</a></span>, <font color="Maroon">c<sub>3</sub></font> being    <a href="substut1.html#M1">second_Q_comp</a> of <font color="Maroon">c<sub>2</sub></font><b> such that </b><br/><a NAME="E2:41_1_1"/><i><font color="Green">E31</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="substut1.html#K24">Sub_All</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> &amp; <font color="Maroon">c<sub>2</sub></font> <a href="substut1.html#K22">`1</a>  <a href="hidden.html#R1">=</a>  <a href="substut1.html#K31">Sub_the_scope_of</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>2</sub></font> is <a href="substut1.html#V3">quantifiable</a> )
 <b>by </b><i><a class="txt" href="sublemma.html#E1:41"><i><font color="Green">E30</font></i></a>, <a class="ref" href="substut1.html#D34">SUBSTUT1:def 34</a></i>;<br/>
<a NAME="E3:41_1_1"/>
<font color="Maroon">c<sub>1</sub></font> <a href="sublemma.html#K2" target="_self">`1</a>  <a href="hidden.html#R1">=</a>  <a href="qc_lang1.html#K14">All</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="substut1.html#K23">`2</a> </span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="substut1.html#K22">`1</a> </span>)</span> <a href="substut1.html#K18">`1</a> </span>)</span>
 
<b>by </b><i><a class="txt" href="sublemma.html#E2:41_1_1"><i><font color="Green">E31</font></i></a>, <a class="ref" href="sublemma.html#T27" target="_self">Th27</a></i>;<br/>
<a NAME="E4:41_1_1"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="substut1.html#K22">`1</a> </span>)</span> <a href="substut1.html#K18">`1</a>  is    <a href="subset_1.html#M2">Element</a> of  <a href="cqc_lang.html#K7">CQC-WFF</a> 
 
<b>by </b><i><a class="ref" href="cqc_lang.html#T23">CQC_LANG:23</a></i>;<br/>
<b>then consider </b><font color="Maroon">c<sub>4</sub></font> being    <a href="subset_1.html#M1">Element</a> of  <a href="substut1.html#K16">QC-Sub-WFF</a> <b> such that </b><br/><a NAME="E6:41_1_1"/><i><font color="Green">E32</font></i>: 
( <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="substut1.html#K22">`1</a>  &amp; <font color="Maroon">c<sub>4</sub></font> <a href="substut1.html#K18">`1</a>  is    <a href="subset_1.html#M2">Element</a> of  <a href="cqc_lang.html#K7">CQC-WFF</a>  )
 ;<br/>
<a NAME="E7:41_1_1"/>
<font color="Maroon">c<sub>2</sub></font> <a href="substut1.html#K22">`1</a>  <a href="hidden.html#R2">in</a>  <a href="substut1.html#K38">CQC-Sub-WFF</a> 
 
<b>by </b><i><a class="txt" href="sublemma.html#E6:41_1_1"><i><font color="Green">E32</font></i></a>, <a class="ref" href="substut1.html#D39">SUBSTUT1:def 39</a></i>;<br/>
<b>hence </b><a NAME="E8:41_1_1"/>
 <a href="substut1.html#K31">Sub_the_scope_of</a> <font color="Maroon">c<sub>1</sub></font> is    <a href="subset_1.html#M2">Element</a> of  <a href="substut1.html#K38">CQC-Sub-WFF</a> 
 <b>by </b><i><a class="txt" href="sublemma.html#E2:41_1_1"><i><font color="Green">E31</font></i></a></i>;<br/>


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