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

<b>let </b><font color="Maroon">x</font> be   <a href="qc_lang1.html#NM3">bound_QC-variable</a>;<br/><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>let </b><font color="Maroon">xSQ</font> be    <a href="substut1.html#M1">second_Q_comp</a> of <span class="p1"><a href="sublemma.html#K8" target="_self">[</a><span class="default"><font color="Maroon">S</font>,<font color="Maroon">x</font></span><a href="sublemma.html#K8" target="_self">]</a></span>;<br/>





<b>set </b><font color="Maroon">S1</font> =  <a href="sublemma.html#K10" target="_self">CQCSub_All</a> <span class="p1"><a href="sublemma.html#K8" target="_self">[</a><span class="default"><font color="Maroon">S</font>,<font color="Maroon">x</font></span><a href="sublemma.html#K8" target="_self">]</a></span>,<font color="Maroon">xSQ</font>;<br/>
<b>assume </b><a NAME="E1:104"/><i><font color="Green">E55</font></i>: 
<span class="p1"><a href="sublemma.html#K8" target="_self">[</a><span class="default"><font color="Maroon">S</font>,<font color="Maroon">x</font></span><a href="sublemma.html#K8" target="_self">]</a></span> is <a href="substut1.html#V3">quantifiable</a>
 ;<br/>

<a NAME="E2:104"/><b>then </b>
 <a href="sublemma.html#K10" target="_self">CQCSub_All</a> <span class="p1"><a href="sublemma.html#K8" target="_self">[</a><span class="default"><font color="Maroon">S</font>,<font color="Maroon">x</font></span><a href="sublemma.html#K8" target="_self">]</a></span>,<font color="Maroon">xSQ</font> <a href="hidden.html#R1">=</a>  <a href="substut1.html#K24">Sub_All</a> <span class="p1"><a href="sublemma.html#K8" target="_self">[</a><span class="default"><font color="Maroon">S</font>,<font color="Maroon">x</font></span><a href="sublemma.html#K8" target="_self">]</a></span>,<font color="Maroon">xSQ</font>
 
<b>by </b><i/>;<br/>
<a NAME="E3:104"/><b>then </b><i><font color="Green">E56</font></i>: 
 <a href="substut1.html#K2">@</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sublemma.html#K10" target="_self">CQCSub_All</a> <span class="p3"><a href="sublemma.html#K8" target="_self">[</a><span class="default"><font color="Maroon">S</font>,<font color="Maroon">x</font></span><a href="sublemma.html#K8" target="_self">]</a></span>,<font color="Maroon">xSQ</font></span>)</span> <a href="substut1.html#K19">`2</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font>
 
<b>by </b><i><a class="ref" href="sublemma.html#T9" target="_self">Th9</a>, </i>;<br/>
<a NAME="E4:104"/><i><font color="Green">E57</font></i>: 
 <a href="substut1.html#K2">@</a> <span class="p1">(<span class="default"><a href="substut1.html#K7">RestrictSub</a> <font color="Maroon">x</font>,<span class="p2">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span>,<font color="Maroon">xSQ</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K3">\</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p3">(<span class="default"><a href="sublemma.html#K16" target="_self">RSub1</a> <span class="p4">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p5">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="sublemma.html#K15" target="_self">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p3">(<span class="default"><a href="sublemma.html#K17" target="_self">RSub2</a> <span class="p4">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p5">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span>,<font color="Maroon">xSQ</font></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i/>;<br/>
<b>then reconsider </b><font color="Maroon">F</font> = <span class="p1">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K3">\</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p3">(<span class="default"><a href="sublemma.html#K16" target="_self">RSub1</a> <span class="p4">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p5">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="sublemma.html#K15" target="_self">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p3">(<span class="default"><a href="sublemma.html#K17" target="_self">RSub2</a> <span class="p4">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p5">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span>,<font color="Maroon">xSQ</font></span>)</span></span>)</span></span>)</span> as   <a href="partfun1.html#NM1">PartFunc</a> of  <a href="qc_lang1.html#K2">bound_QC-variables</a> , <a href="qc_lang1.html#K2">bound_QC-variables</a>  ;<br/>
<a NAME="E6:104"/><i><font color="Green">E58</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p3">(<span class="default"><a href="sublemma.html#K16" target="_self">RSub1</a> <span class="p4">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p5">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="sublemma.html#K15" target="_self">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p3">(<span class="default"><a href="sublemma.html#K17" target="_self">RSub2</a> <span class="p4">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p5">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span>,<font color="Maroon">xSQ</font></span>)</span></span>)</span></span>)</span> <a href="relset_1.html#K1">\/</a> <font color="Maroon">F</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p3">(<span class="default"><a href="sublemma.html#K16" target="_self">RSub1</a> <span class="p4">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p5">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="sublemma.html#K15" target="_self">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p3">(<span class="default"><a href="sublemma.html#K17" target="_self">RSub2</a> <span class="p4">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p5">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span>,<font color="Maroon">xSQ</font></span>)</span></span>)</span></span>)</span> <a href="relset_1.html#K1">\/</a> <span class="p1">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T39">XBOOLE_1:39</a></i>;<br/>
<a NAME="E7:104"/>
 <a href="relset_1.html#K4">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p2">(<span class="default"><a href="sublemma.html#K16" target="_self">RSub1</a> <span class="p3">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#R1">misses</a>  <a href="relset_1.html#K4">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p2">(<span class="default"><a href="sublemma.html#K17" target="_self">RSub2</a> <span class="p3">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span>,<font color="Maroon">xSQ</font></span>)</span></span>)</span>
 
<b>by </b><i/>;<br/>
<a NAME="E8:104"/><b>then </b><i><font color="Green">E59</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p2">(<span class="default"><a href="sublemma.html#K16" target="_self">RSub1</a> <span class="p3">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="sublemma.html#K15" target="_self">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p2">(<span class="default"><a href="sublemma.html#K17" target="_self">RSub2</a> <span class="p3">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span>,<font color="Maroon">xSQ</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p2">(<span class="default"><a href="sublemma.html#K16" target="_self">RSub1</a> <span class="p3">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="relset_1.html#K1">\/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p2">(<span class="default"><a href="sublemma.html#K17" target="_self">RSub2</a> <span class="p3">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span>,<font color="Maroon">xSQ</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#T32">FUNCT_4:32</a></i>;<br/>
<a NAME="E9:104"/>
( <span class="p1">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p1">(<span class="default"><a href="sublemma.html#K16" target="_self">RSub1</a> <span class="p2">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font> &amp; <span class="p1">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p1">(<span class="default"><a href="sublemma.html#K17" target="_self">RSub2</a> <span class="p2">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p3">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span>,<font color="Maroon">xSQ</font></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font> )
 
<b>by </b><i><a class="ref" href="relat_1.html#T88">RELAT_1:88</a></i>;<br/>
<a NAME="E10:104"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p2">(<span class="default"><a href="sublemma.html#K16" target="_self">RSub1</a> <span class="p3">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="relset_1.html#K1">\/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p2">(<span class="default"><a href="sublemma.html#K17" target="_self">RSub2</a> <span class="p3">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span>,<font color="Maroon">xSQ</font></span>)</span></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T8">XBOOLE_1:8</a></i>;<br/>
<a NAME="E11:104"/><b>then </b><i><font color="Green">E60</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p3">(<span class="default"><a href="sublemma.html#K16" target="_self">RSub1</a> <span class="p4">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p5">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="sublemma.html#K15" target="_self">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p3">(<span class="default"><a href="sublemma.html#K17" target="_self">RSub2</a> <span class="p4">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p5">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span>,<font color="Maroon">xSQ</font></span>)</span></span>)</span></span>)</span> <a href="relset_1.html#K1">\/</a> <font color="Maroon">F</font> <a href="hidden.html#R1">=</a>  <a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font>
 
<b>by </b><i><a class="ref" href="sublemma.html#T12" target="_self">Th12</a>, <a class="ref" href="sublemma.html#T13" target="_self">Th13</a>, <a class="ref" href="xboole_1.html#T12">XBOOLE_1:12</a></i>;<br/>
<a NAME="E12:104"/>
 <a href="relset_1.html#K4">dom</a> <font color="Maroon">F</font> <a href="xboole_0.html#R1">misses</a> <span class="p1">(<span class="default"><a href="relset_1.html#K4">dom</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p3">(<span class="default"><a href="sublemma.html#K16" target="_self">RSub1</a> <span class="p4">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p5">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="subset_1.html#K4">\/</a> <span class="p1">(<span class="default"><a href="relset_1.html#K4">dom</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p3">(<span class="default"><a href="sublemma.html#K17" target="_self">RSub2</a> <span class="p4">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p5">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span>,<font color="Maroon">xSQ</font></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E13:104"/><b>then </b>
 <a href="relset_1.html#K4">dom</a> <font color="Maroon">F</font> <a href="xboole_0.html#R1">misses</a>  <a href="relset_1.html#K4">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p3">(<span class="default"><a href="sublemma.html#K16" target="_self">RSub1</a> <span class="p4">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p5">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="sublemma.html#K15" target="_self">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p3">(<span class="default"><a href="sublemma.html#K17" target="_self">RSub2</a> <span class="p4">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p5">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span>,<font color="Maroon">xSQ</font></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#D1">FUNCT_4:def 1</a></i>;<br/>
<a NAME="E14:104"/><b>then </b>
<font color="Maroon">F</font> <a href="sublemma.html#K15" target="_self">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p3">(<span class="default"><a href="sublemma.html#K16" target="_self">RSub1</a> <span class="p4">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p5">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span></span>)</span></span>)</span> <a href="sublemma.html#K15" target="_self">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p3">(<span class="default"><a href="sublemma.html#K17" target="_self">RSub2</a> <span class="p4">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p5">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span>,<font color="Maroon">xSQ</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font>
 
<b>by </b><i><a class="ref" href="sublemma.html#T14" target="_self">Th14</a>, <a class="ref" href="funct_4.html#T32">FUNCT_4:32</a></i>;<br/>
<b>hence </b><a NAME="E15:104"/>
 <a href="substut1.html#K2">@</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sublemma.html#K10" target="_self">CQCSub_All</a> <span class="p3"><a href="sublemma.html#K8" target="_self">[</a><span class="default"><font color="Maroon">S</font>,<font color="Maroon">x</font></span><a href="sublemma.html#K8" target="_self">]</a></span>,<font color="Maroon">xSQ</font></span>)</span> <a href="substut1.html#K19">`2</a> </span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substut1.html#K2">@</a> <span class="p3">(<span class="default"><a href="substut1.html#K7">RestrictSub</a> <font color="Maroon">x</font>,<span class="p4">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p5">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span>,<font color="Maroon">xSQ</font></span>)</span></span>)</span> <a href="sublemma.html#K15" target="_self">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p3">(<span class="default"><a href="sublemma.html#K16" target="_self">RSub1</a> <span class="p4">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p5">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="sublemma.html#K15" target="_self">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substut1.html#K2">@</a> <font color="Maroon">xSQ</font></span>)</span> <a href="relset_1.html#K8">|</a> <span class="p2">(<span class="default"><a href="sublemma.html#K17" target="_self">RSub2</a> <span class="p3">(<span class="default"><a href="cqc_lang.html#K15">All</a> <font color="Maroon">x</font>,<span class="p4">(<span class="default"><font color="Maroon">S</font> <a href="sublemma.html#K2" target="_self">`1</a> </span>)</span></span>)</span>,<font color="Maroon">xSQ</font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="sublemma.html#T11" target="_self">Th11</a>, , <a class="ref" href="funct_4.html#T15">FUNCT_4:15</a></i>;<br/>


</div>
