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

<a NAME="E1:9_1_1"/>
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="substut1.html#K3" title="SUBSTUT1:func.3">CQC_Subst</a> <span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span>,<font color="Maroon" title="c2">Sub</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span>
 
<b>by </b><i><a class="ref" href="substut1.html#D3" target="_self" title="SUBSTUT1:def.3">Def3</a></i>;<br/>
<a NAME="E2:9_1_1"/><b>then </b><i><font color="Green" title="E3">A1</font></i>: 
 <a href="relset_1.html#K4" title="RELSET_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="substut1.html#K3" title="SUBSTUT1:func.3">CQC_Subst</a> <span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span>,<font color="Maroon" title="c2">Sub</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="finseq_1.html#D3" title="FINSEQ_1:def.3">FINSEQ_1:def 3</a></i>;<br/>
<a NAME="E3:9_1_1"/><i><font color="Green" title="E4">A2</font></i>: 
for <font color="Olive" title="b1">k</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">k</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span></span>)</span> holds <br/>( ( <span class="p1">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">k</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c2">Sub</font> implies <span class="p1">(<span class="default"><a href="substut1.html#K3" title="SUBSTUT1:func.3">CQC_Subst</a> <span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span>,<font color="Maroon" title="c2">Sub</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">Sub</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">k</font></span>)</span> ) &amp; ( not <span class="p1">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">k</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c2">Sub</font> implies <span class="p1">(<span class="default"><a href="substut1.html#K3" title="SUBSTUT1:func.3">CQC_Subst</a> <span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span>,<font color="Maroon" title="c2">Sub</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">k</font> ) )
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="9_1_1_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon" title="c3">k</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/>

<b>assume </b><a NAME="E1:9_1_1_1"/><i><font color="Green" title="E5">A3</font></i>: 
<font color="Maroon" title="c3">k</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span></span>)</span>
 ;<br/>

<a NAME="E2:9_1_1_1"/>
( 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c3">k</font> &amp; <font color="Maroon" title="c3">k</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span> )
 
<b>by </b><i><a class="txt" href="substut1.html#E1:9_1_1_1"><i><font color="Green" title="E5">A3</font></i></a>, <a class="ref" href="finseq_1.html#T3" title="FINSEQ_1:th.3">FINSEQ_1:3</a></i>;<br/>
<b>hence </b><a NAME="E3:9_1_1_1"/>
( ( <span class="p1">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">k</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c2">Sub</font> implies <span class="p1">(<span class="default"><a href="substut1.html#K3" title="SUBSTUT1:func.3">CQC_Subst</a> <span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span>,<font color="Maroon" title="c2">Sub</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">Sub</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">k</font></span>)</span> ) &amp; ( not <span class="p1">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">k</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c2">Sub</font> implies <span class="p1">(<span class="default"><a href="substut1.html#K3" title="SUBSTUT1:func.3">CQC_Subst</a> <span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span>,<font color="Maroon" title="c2">Sub</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">k</font> ) )
 <b>by </b><i><a class="ref" href="substut1.html#D3" target="_self" title="SUBSTUT1:def.3">Def3</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E4:9_1_1"/>
 <a href="relset_1.html#K5" title="RELSET_1:func.5">rng</a> <span class="p1">(<span class="default"><a href="substut1.html#K3" title="SUBSTUT1:func.3">CQC_Subst</a> <span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span>,<font color="Maroon" title="c2">Sub</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="qc_lang1.html#K2" title="QC_LANG1:func.2">bound_QC-variables</a> 
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="9_1_1_2"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon" title="c3">y</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3" title="TARSKI:def.3">TARSKI:def 3</a><br/>

<b>assume </b><a NAME="E1:9_1_1_2"/>
<font color="Maroon" title="c3">y</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relset_1.html#K5" title="RELSET_1:func.5">rng</a> <span class="p1">(<span class="default"><a href="substut1.html#K3" title="SUBSTUT1:func.3">CQC_Subst</a> <span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span>,<font color="Maroon" title="c2">Sub</font></span>)</span>
 ;<br/>

<b>then consider </b><font color="Maroon" title="c4">x</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> <b> such that </b><br/><a NAME="E3:9_1_1_2"/><i><font color="Green" title="E5">A4</font></i>: 
<font color="Maroon" title="c4">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relset_1.html#K4" title="RELSET_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="substut1.html#K3" title="SUBSTUT1:func.3">CQC_Subst</a> <span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span>,<font color="Maroon" title="c2">Sub</font></span>)</span>
 <b>and </b><br/><a NAME="E4:9_1_1_2"/><i><font color="Green" title="E6">A5</font></i>: 
<span class="p1">(<span class="default"><a href="substut1.html#K3" title="SUBSTUT1:func.3">CQC_Subst</a> <span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span>,<font color="Maroon" title="c2">Sub</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c4">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">y</font>
 <b>by </b><i><a class="ref" href="funct_1.html#D5" title="FUNCT_1:def.5">FUNCT_1:def 5</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c5">x</font> = <font color="Maroon" title="c4">x</font> as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  <b>by </b><i><a class="txt" href="substut1.html#E3:9_1_1_2"><i><font color="Green" title="E5">A4</font></i></a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="9_1_1_2_1"><b>now </b></a><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="9_1_1_2_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:9_1_1_2_1_1"/>
( <span class="p1">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c2">Sub</font> or  not <span class="p1">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c2">Sub</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="9_1_1_2_1_1_1"><b>case </b></a><a NAME="E1:9_1_1_2_1_1_1"/>
<span class="p1">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c2">Sub</font>
 ;<br/><div class="add"><a NAME="E2:9_1_1_2_1_1_1"/><b>then </b>
( <span class="p1">(<span class="default"><a href="substut1.html#K3" title="SUBSTUT1:func.3">CQC_Subst</a> <span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span>,<font color="Maroon" title="c2">Sub</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">Sub</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font></span>)</span> &amp; <font color="Maroon" title="c2">Sub</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font></span>)</span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="qc_lang1.html#K2" title="QC_LANG1:func.2">bound_QC-variables</a>  )
 <b>by </b><i><a class="txt" href="substut1.html#E2:9_1_1"><i><font color="Green" title="E3">A1</font></i></a>, <a class="txt" href="substut1.html#E3:9_1_1"><i><font color="Green" title="E4">A2</font></i></a>, <a class="txt" href="substut1.html#E3:9_1_1_2"><i><font color="Green" title="E5">A4</font></i></a>, <a class="ref" href="substut1.html#T1" target="_self" title="SUBSTUT1:th.1">Th1</a></i>;<br/><b>hence </b><a NAME="E3:9_1_1_2_1_1_1"/>
<span class="p1">(<span class="default"><a href="substut1.html#K3" title="SUBSTUT1:func.3">CQC_Subst</a> <span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span>,<font color="Maroon" title="c2">Sub</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="qc_lang1.html#K2" title="QC_LANG1:func.2">bound_QC-variables</a> 
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="9_1_1_2_1_1_2"><b>case </b></a><a NAME="E1:9_1_1_2_1_1_2"/>
not <span class="p1">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c2">Sub</font>
 ;<br/><div class="add"><a NAME="E2:9_1_1_2_1_1_2"/><b>then </b><i><font color="Green" title="E7">A6</font></i>: 
<span class="p1">(<span class="default"><a href="substut1.html#K3" title="SUBSTUT1:func.3">CQC_Subst</a> <span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span>,<font color="Maroon" title="c2">Sub</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font>
 <b>by </b><i><a class="txt" href="substut1.html#E2:9_1_1"><i><font color="Green" title="E3">A1</font></i></a>, <a class="txt" href="substut1.html#E3:9_1_1"><i><font color="Green" title="E4">A2</font></i></a>, <a class="txt" href="substut1.html#E3:9_1_1_2"><i><font color="Green" title="E5">A4</font></i></a></i>;<br/><a NAME="E3:9_1_1_2_1_1_2"/>
<font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relset_1.html#K4" title="RELSET_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span>
 <b>by </b><i><a class="txt" href="substut1.html#E2:9_1_1"><i><font color="Green" title="E3">A1</font></i></a>, <a class="txt" href="substut1.html#E3:9_1_1_2"><i><font color="Green" title="E5">A4</font></i></a>, <a class="ref" href="finseq_1.html#D3" title="FINSEQ_1:def.3">FINSEQ_1:def 3</a></i>;<br/><a NAME="E4:9_1_1_2_1_1_2"/><b>then </b><i><font color="Green" title="E8">A7</font></i>: 
<span class="p1">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relset_1.html#K5" title="RELSET_1:func.5">rng</a> <span class="p1">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span>
 <b>by </b><i><a class="ref" href="funct_1.html#T12" title="FUNCT_1:th.12">FUNCT_1:12</a></i>;<br/><a NAME="E5:9_1_1_2_1_1_2"/>
 <a href="relset_1.html#K5" title="RELSET_1:func.5">rng</a> <font color="Maroon" title="c1">l</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="qc_lang1.html#K2" title="QC_LANG1:func.2">bound_QC-variables</a> 
 ;<br/><b>hence </b><a NAME="E6:9_1_1_2_1_1_2"/>
<span class="p1">(<span class="default"><a href="substut1.html#K3" title="SUBSTUT1:func.3">CQC_Subst</a> <span class="p2">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span>,<font color="Maroon" title="c2">Sub</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="qc_lang1.html#K2" title="QC_LANG1:func.2">bound_QC-variables</a> 
 <b>by </b><i><a class="txt" href="substut1.html#E2:9_1_1_2_1_1_2"><i><font color="Green" title="E7">A6</font></i></a>, <a class="txt" href="substut1.html#E4:9_1_1_2_1_1_2"><i><font color="Green" title="E8">A7</font></i></a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div></div><b>end;</b></div>
<b>hence </b><a NAME="E7:9_1_1_2"/>
<font color="Maroon" title="c3">y</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="qc_lang1.html#K2" title="QC_LANG1:func.2">bound_QC-variables</a> 
 <b>by </b><i><a class="txt" href="substut1.html#E4:9_1_1_2"><i><font color="Green" title="E6">A5</font></i></a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E5:9_1_1"/>
 <a href="substut1.html#K3" title="SUBSTUT1:func.3">CQC_Subst</a> <span class="p1">(<span class="default"><a href="substut1.html#K4" title="SUBSTUT1:func.4">@</a> <font color="Maroon" title="c1">l</font></span>)</span>,<font color="Maroon" title="c2">Sub</font> is    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="qc_lang1.html#K2" title="QC_LANG1:func.2">bound_QC-variables</a> 
 <b>by </b><i><a class="ref" href="finseq_1.html#D4" title="FINSEQ_1:def.4">FINSEQ_1:def 4</a></i>;<br/>


</div>
