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

<b>let </b><font color="Maroon" title="c1">B</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><a href="substut1.html#K16" title="SUBSTUT1:func.16">QC-Sub-WFF</a> ,<a href="qc_lang1.html#K2" title="QC_LANG1:func.2">bound_QC-variables</a> </span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>;<br/><b>let </b><font color="Maroon" title="c2">SQ</font> be    <a href="substut1.html#M1" title="SUBSTUT1:mode.1">second_Q_comp</a> of <font color="Maroon" title="c1">B</font>;<br/>



<b>assume </b><a NAME="E1:66"/><i><font color="Green" title="E39">A1</font></i>: 
<font color="Maroon" title="c1">B</font> is <a href="substut1.html#V3" title="SUBSTUT1:attr.3">quantifiable</a>
 ;<br/>

<a NAME="E2:66"/><b>then </b>
 <a href="substut1.html#K24" title="SUBSTUT1:func.24">Sub_All</a> <font color="Maroon" title="c1">B</font>,<font color="Maroon" title="c2">SQ</font> is <a href="substut1.html#V7" title="SUBSTUT1:attr.7">Sub_universal</a>
 
<b>by </b><i><a class="ref" href="substut1.html#T14" target="_self" title="SUBSTUT1:th.14">Th14</a></i>;<br/>
<b>then consider </b><font color="Maroon" title="c3">B1</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><a href="substut1.html#K16" title="SUBSTUT1:func.16">QC-Sub-WFF</a> ,<a href="qc_lang1.html#K2" title="QC_LANG1:func.2">bound_QC-variables</a> </span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>, <font color="Maroon" title="c4">SQ1</font> being    <a href="substut1.html#M1" title="SUBSTUT1:mode.1">second_Q_comp</a> of <font color="Maroon" title="c3">B1</font><b> such that </b><br/><a NAME="E4:66"/><i><font color="Green" title="E40">A2</font></i>: 
(  <a href="substut1.html#K24" title="SUBSTUT1:func.24">Sub_All</a> <font color="Maroon" title="c1">B</font>,<font color="Maroon" title="c2">SQ</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="substut1.html#K24" title="SUBSTUT1:func.24">Sub_All</a> <font color="Maroon" title="c3">B1</font>,<font color="Maroon" title="c4">SQ1</font> &amp; <font color="Maroon" title="c3">B1</font> <a href="substut1.html#K22" title="SUBSTUT1:func.22">`1</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="substut1.html#K31" title="SUBSTUT1:func.31">Sub_the_scope_of</a> <span class="p1">(<span class="default"><a href="substut1.html#K24" title="SUBSTUT1:func.24">Sub_All</a> <font color="Maroon" title="c1">B</font>,<font color="Maroon" title="c2">SQ</font></span>)</span> &amp; <font color="Maroon" title="c3">B1</font> is <a href="substut1.html#V3" title="SUBSTUT1:attr.3">quantifiable</a> )
 <b>by </b><i><a class="ref" href="substut1.html#D34" target="_self" title="SUBSTUT1:def.34">Def34</a></i>;<br/>
<b>thus </b><a NAME="E5:66"/>
 <a href="substut1.html#K31" title="SUBSTUT1:func.31">Sub_the_scope_of</a> <span class="p1">(<span class="default"><a href="substut1.html#K24" title="SUBSTUT1:func.24">Sub_All</a> <font color="Maroon" title="c1">B</font>,<font color="Maroon" title="c2">SQ</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">B</font> <a href="substut1.html#K22" title="SUBSTUT1:func.22">`1</a> 
 <b>by </b><i><a class="txt" href="substut1.html#E1:66"><i><font color="Green" title="E39">A1</font></i></a>, <a class="txt" href="substut1.html#E4:66"><i><font color="Green" title="E40">A2</font></i></a>, <a class="ref" href="substut1.html#T20" target="_self" title="SUBSTUT1:th.20">Th20</a></i>;<br/>


</div>
