<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">B</font> be  <a href="sublemma.html#V1" target="_self">CQC-WFF-like</a>  <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>;<br/><b>let </b><font color="Maroon">SQ</font> be    <a href="substut1.html#M1">second_Q_comp</a> of <font color="Maroon">B</font>;<br/>



<b>assume </b><a NAME="E1:44"/><i><font color="Green">E55</font></i>: 
<font color="Maroon">B</font> is <a href="substut1.html#V3">quantifiable</a>
 ;<br/>

<a NAME="E2:44"/><b>then </b><i><font color="Green">E56</font></i>: 
 <a href="sublemma.html#K10" target="_self">CQCSub_All</a> <font color="Maroon">B</font>,<font color="Maroon">SQ</font> <a href="hidden.html#R1">=</a>  <a href="substut1.html#K24">Sub_All</a> <font color="Maroon">B</font>,<font color="Maroon">SQ</font>
 
<b>by </b><i/>;<br/>
<a NAME="E3:44"/><b>then </b>
 <a href="sublemma.html#K10" target="_self">CQCSub_All</a> <font color="Maroon">B</font>,<font color="Maroon">SQ</font> is <a href="substut1.html#V7">Sub_universal</a>
 
<b>by </b><i>, <a class="ref" href="substut1.html#T14">SUBSTUT1:14</a></i>;<br/>
<a NAME="E4:44"/><b>then </b>
 <a href="sublemma.html#K11" target="_self">CQCSub_the_scope_of</a> <span class="p1">(<span class="default"><a href="sublemma.html#K10" target="_self">CQCSub_All</a> <font color="Maroon">B</font>,<font color="Maroon">SQ</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="substut1.html#K31">Sub_the_scope_of</a> <span class="p1">(<span class="default"><a href="substut1.html#K24">Sub_All</a> <font color="Maroon">B</font>,<font color="Maroon">SQ</font></span>)</span>
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E5:44"/>
 <a href="sublemma.html#K11" target="_self">CQCSub_the_scope_of</a> <span class="p1">(<span class="default"><a href="sublemma.html#K10" target="_self">CQCSub_All</a> <font color="Maroon">B</font>,<font color="Maroon">SQ</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">B</font> <a href="sublemma.html#K9" target="_self">`1</a> 
 <b>by </b><i>, <a class="ref" href="substut1.html#T21">SUBSTUT1:21</a></i>;<br/>


</div>
