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<b>let </b><font color="Maroon">S</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="substut1.html#K38">CQC-Sub-WFF</a> ;<br/>

<b>assume </b><a NAME="E1:43"/><i><font color="Green">E55</font></i>: 
<font color="Maroon">S</font> is <a href="substut1.html#V7">Sub_universal</a>
 ;<br/>

<a NAME="E2:43"/><b>then </b>
 <a href="sublemma.html#K11" target="_self">CQCSub_the_scope_of</a> <font color="Maroon">S</font> <a href="hidden.html#R1">=</a>  <a href="substut1.html#K31">Sub_the_scope_of</a> <font color="Maroon">S</font>
 
<b>by </b><i/>;<br/>
<a NAME="E3:43"/><b>then </b>
 <a href="sublemma.html#K12" target="_self">CQCQuant</a> <font color="Maroon">S</font>,<span class="p1">(<span class="default"><a href="substut1.html#K39">CQC_Sub</a> <span class="p2">(<span class="default"><a href="sublemma.html#K11" target="_self">CQCSub_the_scope_of</a> <font color="Maroon">S</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="substut1.html#K36">Quant</a> <font color="Maroon">S</font>,<span class="p1">(<span class="default"><a href="substut1.html#K37">CQC_Sub</a> <span class="p2">(<span class="default"><a href="substut1.html#K31">Sub_the_scope_of</a> <font color="Maroon">S</font></span>)</span></span>)</span>
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E4:43"/>
 <a href="substut1.html#K39">CQC_Sub</a> <font color="Maroon">S</font> <a href="hidden.html#R1">=</a>  <a href="sublemma.html#K12" target="_self">CQCQuant</a> <font color="Maroon">S</font>,<span class="p1">(<span class="default"><a href="substut1.html#K39">CQC_Sub</a> <span class="p2">(<span class="default"><a href="sublemma.html#K11" target="_self">CQCSub_the_scope_of</a> <font color="Maroon">S</font></span>)</span></span>)</span>
 <b>by </b><i>, <a class="ref" href="substut1.html#T32">SUBSTUT1:32</a></i>;<br/>


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