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

<b>let </b><font color="Maroon">p</font> be  <a href="ami_1.html#V11">autonomic</a>  <a href="ami_1.html#M1">FinPartState</a> of  <a href="ami_3.html#K1">SCM</a> ;<br/>

<b>assume </b><a NAME="E1:68"/>
 <a href="ami_5.html#K7" target="_self">DataPart</a> <font color="Maroon">p</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 ;<br/>

<a NAME="E2:68"/><b>then </b><i><font color="Green">E34</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_5.html#K7" target="_self">DataPart</a> <font color="Maroon">p</font></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="ref" href="relat_1.html#T64">RELAT_1:64</a></i>;<br/>
<b>assume </b><a NAME="E3:68"/><i><font color="Green">E35</font></i>: 
not  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font>
 ;<br/>

<a NAME="E4:68"/>
not <font color="Maroon">p</font> is <a href="ami_1.html#V11">autonomic</a>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="68_1"><b>proof </b></a><div class="add">

<b>consider </b><font color="Maroon">d1</font> being    <a href="subset_1.html#M1">Element</a> of  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_5.html#K7" target="_self">DataPart</a> <font color="Maroon">p</font></span>)</span>;<br/>
<a NAME="E2:68_1"/><i><font color="Green">E45</font></i>: 
<font color="Maroon">d1</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_5.html#K7" target="_self">DataPart</a> <font color="Maroon">p</font></span>)</span>
 
<b>by </b><i/>;<br/>
<a NAME="E3:68_1"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_5.html#K7" target="_self">DataPart</a> <font color="Maroon">p</font></span>)</span> <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i><a class="ref" href="ami_3.html#T37">AMI_3:37</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">d1</font> = <font color="Maroon">d1</font> as   <a href="struct_0.html#NM1">Element</a> of <a href="ami_3.html#K1">SCM</a>  <b>by </b><i/>;<br/>
<a NAME="E5:68_1"/>
 <a href="ami_5.html#K7" target="_self">DataPart</a> <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p</font> <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K2">SCM-Data-Loc</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E6:68_1"/><b>then </b>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_5.html#K7" target="_self">DataPart</a> <font color="Maroon">p</font></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="ami_2.html#K2">SCM-Data-Loc</a> 
 
<b>by </b><i><a class="ref" href="relat_1.html#T87">RELAT_1:87</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">d1</font> = <font color="Maroon">d1</font> as    <a href="ami_3.html#M1">Data-Location</a>  <b>by </b><i>, <a class="ref" href="ami_3.html#D2">AMI_3:def 2</a></i>;<br/>
<b>consider </b><font color="Maroon">d2</font> being    <a href="subset_1.html#M1">Element</a> of <a href="ami_2.html#K2">SCM-Data-Loc</a>  <a href="subset_1.html#K7">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span>;<br/>
<a NAME="E9:68_1"/>
<font color="Maroon">p</font> is <a href="finset_1.html#V1">finite</a>
 
<b>by </b><i><a class="ref" href="ami_1.html#D24">AMI_1:def 24</a></i>;<br/>
<a NAME="E10:68_1"/><b>then </b>
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font> is <a href="finset_1.html#V1">finite</a>
 
<b>by </b><i><a class="ref" href="finset_1.html#T29">FINSET_1:29</a></i>;<br/>
<a NAME="E11:68_1"/><b>then </b>
not  <a href="ami_2.html#K2">SCM-Data-Loc</a>  <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font>
 
<b>by </b><i><a class="ref" href="finset_1.html#T13">FINSET_1:13</a></i>;<br/>
<a NAME="E12:68_1"/><b>then </b><i><font color="Green">E52</font></i>: 
<a href="ami_2.html#K2">SCM-Data-Loc</a>  <a href="subset_1.html#K7">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="ref" href="xboole_1.html#T37">XBOOLE_1:37</a></i>;<br/>
<a NAME="E13:68_1"/><b>then </b>
<font color="Maroon">d2</font> <a href="hidden.html#R2">in</a>  <a href="ami_2.html#K2">SCM-Data-Loc</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">d2</font> = <font color="Maroon">d2</font> as    <a href="ami_3.html#M1">Data-Location</a>  <b>by </b><i><a class="ref" href="ami_3.html#D2">AMI_3:def 2</a></i>;<br/>
<b>consider </b><font color="Maroon">il</font> being    <a href="subset_1.html#M1">Element</a> of the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a>  <a href="subset_1.html#K7">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span>;<br/>
<a NAME="E16:68_1"/>
<font color="Maroon">p</font> is <a href="finset_1.html#V1">finite</a>
 
<b>by </b><i><a class="ref" href="ami_1.html#D24">AMI_1:def 24</a></i>;<br/>
<a NAME="E17:68_1"/><b>then </b>
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font> is <a href="finset_1.html#V1">finite</a>
 
<b>by </b><i><a class="ref" href="finset_1.html#T29">FINSET_1:29</a></i>;<br/>
<a NAME="E18:68_1"/><b>then </b>
not the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a>  <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font>
 
<b>by </b><i><a class="ref" href="finset_1.html#T13">FINSET_1:13</a></i>;<br/>
<a NAME="E19:68_1"/><b>then </b><i><font color="Green">E54</font></i>: 
the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="ami_3.html#K1">SCM</a>  <a href="subset_1.html#K7">\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="ref" href="xboole_1.html#T37">XBOOLE_1:37</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">il</font> = <font color="Maroon">il</font> as   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a>  <b>by </b><i><a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/>
<b>set </b><font color="Maroon">p1</font> = <font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">p2</font> = <font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span>;<br/>
<b>consider </b><font color="Maroon">s1</font> being   <a href="ami_1.html#NM4">State</a> of <a href="ami_3.html#K1">SCM</a> <b> such that </b><br/><a NAME="E22:68_1"/><i><font color="Green">E55</font></i>: 
<font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span> <a href="tarski.html#R1">c=</a> <font color="Maroon">s1</font>
 <b>by </b><i><a class="ref" href="ami_3.html#T39">AMI_3:39</a></i>;<br/>
<b>consider </b><font color="Maroon">s2</font> being   <a href="ami_1.html#NM4">State</a> of <a href="ami_3.html#K1">SCM</a> <b> such that </b><br/><a NAME="E24:68_1"/><i><font color="Green">E56</font></i>: 
<font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span> <a href="tarski.html#R1">c=</a> <font color="Maroon">s2</font>
 <b>by </b><i><a class="ref" href="ami_3.html#T39">AMI_3:39</a></i>;<br/>
<b>take </b>
<font color="Maroon">s1</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="ami_1.html#D25">AMI_1:def 25</a><br/>

<b>take </b>
<font color="Maroon">s2</font>
;<br/>

<a NAME="E25:68_1"/><i><font color="Green">E57</font></i>: 
not <font color="Maroon">d2</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font>
 
<b>by </b><i><a class="ref" href="ami_5.html#T23" target="_self">Th23</a>, <a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/>
<a NAME="E26:68_1"/><i><font color="Green">E58</font></i>: 
not <font color="Maroon">il</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font>
 
<b>by </b><i>, <a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/>
<a NAME="E27:68_1"/>
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font> <a href="xboole_0.html#R1">misses</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="domain_1.html#K6">}</a></span>
 
<b>by </b><i><a class="ref" href="ami_5.html#T22" target="_self">Th22</a>, <a class="ref" href="zfmisc_1.html#T56">ZFMISC_1:56</a></i>;<br/>
<a NAME="E28:68_1"/><b>then </b><i><font color="Green">E86</font></i>: 
<span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span> <a href="subset_1.html#K9">/\</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="domain_1.html#K6">}</a></span> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D7">XBOOLE_0:def 7</a></i>;<br/>
<a NAME="E29:68_1"/>
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font> <a href="xboole_0.html#R1">misses</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">d2</font></span><a href="domain_1.html#K6">}</a></span>
 
<b>by </b><i>, <a class="ref" href="zfmisc_1.html#T56">ZFMISC_1:56</a></i>;<br/>
<a NAME="E30:68_1"/><b>then </b><i><font color="Green">E94</font></i>: 
<span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span> <a href="subset_1.html#K9">/\</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">d2</font></span><a href="domain_1.html#K6">}</a></span> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D7">XBOOLE_0:def 7</a></i>;<br/>
<a NAME="E31:68_1"/><i><font color="Green">E102</font></i>: 
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font> <a href="xboole_0.html#R1">misses</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">il</font></span><a href="domain_1.html#K6">}</a></span>
 
<b>by </b><i><a class="ref" href="ami_5.html#T25" target="_self">Th25</a>, <a class="ref" href="zfmisc_1.html#T56">ZFMISC_1:56</a></i>;<br/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="funct_4.html#D1">FUNCT_4:def 1</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="domain_1.html#K6">}</a></span>
<b>by </b><i><a class="ref" href="ami_3.html#T34">AMI_3:34</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="domain_1.html#K6">}</a></span>
<b>by </b><i><a class="ref" href="funct_4.html#D1">FUNCT_4:def 1</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">il</font></span><a href="domain_1.html#K6">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="domain_1.html#K6">}</a></span>
<b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">il</font></span><a href="domain_1.html#K6">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p2"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">d2</font></span><a href="domain_1.html#K6">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="domain_1.html#K6">}</a></span>
<b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>
;<br/>
<b>then </b><span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span> <a href="xboole_0.html#K3">/\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p5">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p4">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span> <a href="xboole_0.html#K3">/\</a> <span class="p2">(<span class="default"><span class="p3"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">il</font></span><a href="domain_1.html#K6">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p3"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">d2</font></span><a href="domain_1.html#K6">}</a></span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="xboole_0.html#K1">{}</a> 
<b>by </b><i>, <a class="ref" href="xboole_1.html#T23">XBOOLE_1:23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span> <a href="subset_1.html#K9">/\</a> <span class="p2"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">il</font></span><a href="domain_1.html#K6">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="xboole_0.html#K1">{}</a> 
<b>by </b><i>, <a class="ref" href="xboole_1.html#T23">XBOOLE_1:23</a></i>
<br/>.= 
 <a href="xboole_0.html#K1">{}</a> 
<b>by </b><i>, <a class="ref" href="xboole_0.html#D7">XBOOLE_0:def 7</a></i>
;<br/>
<a NAME="E34:68_1"/><b>then </b>
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font> <a href="xboole_0.html#R1">misses</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="xboole_0.html#D7">XBOOLE_0:def 7</a></i>;<br/>
<a NAME="E35:68_1"/><b>then </b>
<font color="Maroon">p</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#T33">FUNCT_4:33</a></i>;<br/>
<b>hence </b><a NAME="E36:68_1"/>
<font color="Maroon">p</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">s1</font>
 <b>by </b><i><a class="txt" href="ami_5.html#E2:68_1"><i><font color="Green">E45</font></i></a>, <a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/>

<a NAME="E37:68_1"/>
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font> <a href="xboole_0.html#R1">misses</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="domain_1.html#K6">}</a></span>
 
<b>by </b><i><a class="ref" href="ami_5.html#T22" target="_self">Th22</a>, <a class="ref" href="zfmisc_1.html#T56">ZFMISC_1:56</a></i>;<br/>
<a NAME="E38:68_1"/><b>then </b><i><font color="Green">E103</font></i>: 
<span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span> <a href="subset_1.html#K9">/\</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="domain_1.html#K6">}</a></span> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D7">XBOOLE_0:def 7</a></i>;<br/>
<a NAME="E39:68_1"/>
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font> <a href="xboole_0.html#R1">misses</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">d2</font></span><a href="domain_1.html#K6">}</a></span>
 
<b>by </b><i>, <a class="ref" href="zfmisc_1.html#T56">ZFMISC_1:56</a></i>;<br/>
<a NAME="E40:68_1"/><b>then </b><i><font color="Green">E104</font></i>: 
<span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span> <a href="subset_1.html#K9">/\</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">d2</font></span><a href="domain_1.html#K6">}</a></span> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D7">XBOOLE_0:def 7</a></i>;<br/>
<a NAME="E41:68_1"/><i><font color="Green">E105</font></i>: 
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font> <a href="xboole_0.html#R1">misses</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">il</font></span><a href="domain_1.html#K6">}</a></span>
 
<b>by </b><i><a class="ref" href="ami_5.html#T25" target="_self">Th25</a>, <a class="ref" href="zfmisc_1.html#T56">ZFMISC_1:56</a></i>;<br/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="funct_4.html#D1">FUNCT_4:def 1</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="domain_1.html#K6">}</a></span>
<b>by </b><i><a class="ref" href="ami_3.html#T34">AMI_3:34</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="domain_1.html#K6">}</a></span>
<b>by </b><i><a class="ref" href="funct_4.html#D1">FUNCT_4:def 1</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">il</font></span><a href="domain_1.html#K6">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="domain_1.html#K6">}</a></span>
<b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">il</font></span><a href="domain_1.html#K6">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p2"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">d2</font></span><a href="domain_1.html#K6">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="domain_1.html#K6">}</a></span>
<b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>
;<br/>
<b>then </b><span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span> <a href="xboole_0.html#K3">/\</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p5">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p4">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span> <a href="xboole_0.html#K3">/\</a> <span class="p2">(<span class="default"><span class="p3"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">il</font></span><a href="domain_1.html#K6">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p3"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">d2</font></span><a href="domain_1.html#K6">}</a></span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="xboole_0.html#K1">{}</a> 
<b>by </b><i><a class="txt" href="ami_5.html#E12:68_1"><i><font color="Green">E52</font></i></a>, <a class="ref" href="xboole_1.html#T23">XBOOLE_1:23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span> <a href="subset_1.html#K9">/\</a> <span class="p2"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">il</font></span><a href="domain_1.html#K6">}</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <a href="xboole_0.html#K1">{}</a> 
<b>by </b><i>, <a class="ref" href="xboole_1.html#T23">XBOOLE_1:23</a></i>
<br/>.= 
 <a href="xboole_0.html#K1">{}</a> 
<b>by </b><i><a class="txt" href="ami_5.html#E19:68_1"><i><font color="Green">E54</font></i></a>, <a class="ref" href="xboole_0.html#D7">XBOOLE_0:def 7</a></i>
;<br/>
<a NAME="E44:68_1"/><b>then </b>
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font> <a href="xboole_0.html#R1">misses</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="xboole_0.html#D7">XBOOLE_0:def 7</a></i>;<br/>
<a NAME="E45:68_1"/><b>then </b>
<font color="Maroon">p</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#T33">FUNCT_4:33</a></i>;<br/>
<b>hence </b><a NAME="E46:68_1"/>
<font color="Maroon">p</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">s2</font>
 <b>by </b><i>, <a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/>

<b>take </b>
1
;<br/>

<a NAME="E47:68_1"/>
 <a href="ami_5.html#K7" target="_self">DataPart</a> <font color="Maroon">p</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">p</font>
 
<b>by </b><i/>;<br/>
<a NAME="E48:68_1"/><b>then </b><i><font color="Green">E106</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_5.html#K7" target="_self">DataPart</a> <font color="Maroon">p</font></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font>
 
<b>by </b><i><a class="ref" href="relat_1.html#T25">RELAT_1:25</a></i>;<br/>
<a NAME="E49:68_1"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">s1</font></span>)</span> <a href="ami_1.html#K11">.</a> 1</span>)</span> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i><a class="ref" href="ami_3.html#T36">AMI_3:36</a></i>;<br/>
<a NAME="E50:68_1"/><b>then </b>
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font> <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">s1</font></span>)</span> <a href="ami_1.html#K11">.</a> 1</span>)</span>
 
<b>by </b><i><a class="ref" href="ami_3.html#T37">AMI_3:37</a></i>;<br/>
<a NAME="E51:68_1"/><b>then </b><i><font color="Green">E107</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">s1</font></span>)</span> <a href="ami_1.html#K11">.</a> 1</span>)</span> <a href="relat_1.html#K7">|</a> <span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font>
 
<b>by </b><i><a class="ref" href="relat_1.html#T91">RELAT_1:91</a></i>;<br/>
<a NAME="E52:68_1"/><i><font color="Green">E108</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="domain_1.html#K6">}</a></span>
 
<b>by </b><i><a class="ref" href="ami_3.html#T34">AMI_3:34</a></i>;<br/>
<a NAME="E53:68_1"/><b>then </b><i><font color="Green">E109</font></i>: 
 <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span>
 
<b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<a NAME="E54:68_1"/><i><font color="Green">E110</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></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="E55:68_1"/><b>then </b><i><font color="Green">E111</font></i>: 
 <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="ami_5.html#E26:68_1"><i><font color="Green">E58</font></i></a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E56:68_1"/><i><font color="Green">E112</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p5">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p4">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p5">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p4">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</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="E57:68_1"/><b>then </b><i><font color="Green">E113</font></i>: 
 <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p5">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p4">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="ami_5.html#T28" target="_self">Th28</a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<i><font color="Green">E114</font></i>:  <a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font> = 
<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p5">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p4">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="txt" href="ami_5.html#E2:68_1"><i><font color="Green">E45</font></i></a>, , <a class="ref" href="grfunc_1.html#T8">GRFUNC_1:8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="ref" href="ami_5.html#T28" target="_self">Th28</a>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i><a class="txt" href="ami_5.html#E26:68_1"><i><font color="Green">E58</font></i></a>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
<font color="Maroon">il</font>
<b>by </b><i><a class="ref" href="cqc_lang.html#T6">CQC_LANG:6</a></i>
;<br/>
<a NAME="E59:68_1"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p2">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">il</font></span><a href="domain_1.html#K6">}</a></span>
 
<b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>;<br/>
<a NAME="E60:68_1"/><b>then </b><i><font color="Green">E115</font></i>: 
<font color="Maroon">il</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p2">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<a NAME="E61:68_1"/><i><font color="Green">E116</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">d2</font></span><a href="domain_1.html#K6">}</a></span>
 
<b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>;<br/>
<a NAME="E62:68_1"/>
<font color="Maroon">il</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d2</font>
 
<b>by </b><i/>;<br/>
<a NAME="E63:68_1"/><b>then </b><i><font color="Green">E117</font></i>: 
not <font color="Maroon">il</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span>
 
<b>by </b><i>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<a NAME="E64:68_1"/><i><font color="Green">E118</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p3">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p3">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</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="E65:68_1"/><b>then </b><i><font color="Green">E119</font></i>: 
<font color="Maroon">il</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p3">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span>
 
<b>by </b><i>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E66:68_1"/>
<font color="Maroon">il</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i><a class="ref" href="ami_1.html#T48">AMI_1:48</a></i>;<br/>
<a NAME="E67:68_1"/><b>then </b><i><font color="Green">E120</font></i>: 
not <font color="Maroon">il</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span>
 
<b>by </b><i><a class="txt" href="ami_5.html#E25:68_1"><i><font color="Green">E57</font></i></a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<a NAME="E68:68_1"/><i><font color="Green">E121</font></i>: 
<font color="Maroon">il</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="ami_5.html#T27" target="_self">Th27</a>, , <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E69:68_1"/><b>then </b>
<font color="Maroon">il</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p5">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p4">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="ami_5.html#T31" target="_self">Th31</a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<b>then </b><i><font color="Green">E122</font></i>: <font color="Maroon">s1</font> <a href="ami_1.html#K13">.</a> <font color="Maroon">il</font> = 
<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p5">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p4">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">il</font>
<b>by </b><i><a class="txt" href="ami_5.html#E2:68_1"><i><font color="Green">E45</font></i></a>, <a class="ref" href="grfunc_1.html#T8">GRFUNC_1:8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">il</font>
<b>by </b><i><a class="ref" href="ami_5.html#T33" target="_self">Th33</a>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p3">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">il</font>
<b>by </b><i><a class="ref" href="ami_5.html#T32" target="_self">Th32</a>, <a class="ref" href="funct_4.html#T12">FUNCT_4:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p2">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">il</font>
<b>by </b><i>, <a class="ref" href="funct_4.html#T12">FUNCT_4:12</a></i>
<br/>.= 
<font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font>
<b>by </b><i><a class="ref" href="cqc_lang.html#T6">CQC_LANG:6</a></i>
;<br/>
<a NAME="E71:68_1"/><i><font color="Green">E123</font></i>: 
<font color="Maroon">d2</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span>
 
<b>by </b><i>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<a NAME="E72:68_1"/><b>then </b><i><font color="Green">E124</font></i>: 
<font color="Maroon">d2</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p3">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span>
 
<b>by </b><i>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E73:68_1"/>
<font color="Maroon">d2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E74:68_1"/><b>then </b><i><font color="Green">E125</font></i>: 
not <font color="Maroon">d2</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span>
 
<b>by </b><i><a class="txt" href="ami_5.html#E25:68_1"><i><font color="Green">E57</font></i></a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<a NAME="E75:68_1"/><i><font color="Green">E126</font></i>: 
<font color="Maroon">d2</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="ami_5.html#T27" target="_self">Th27</a>, , <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E76:68_1"/><b>then </b>
<font color="Maroon">d2</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p5">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p4">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="ami_5.html#T31" target="_self">Th31</a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<b>then </b><i><font color="Green">E127</font></i>: <font color="Maroon">s1</font> <a href="ami_3.html#K2">.</a> <font color="Maroon">d2</font> = 
<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p5">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p4">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">d2</font>
<b>by </b><i><a class="txt" href="ami_5.html#E2:68_1"><i><font color="Green">E45</font></i></a>, <a class="ref" href="grfunc_1.html#T8">GRFUNC_1:8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">d2</font>
<b>by </b><i><a class="ref" href="ami_5.html#T36" target="_self">Th36</a>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p3">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">d2</font>
<b>by </b><i>, <a class="ref" href="funct_4.html#T12">FUNCT_4:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 0</span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">d2</font>
<b>by </b><i>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
0
<b>by </b><i><a class="ref" href="cqc_lang.html#T6">CQC_LANG:6</a></i>
;<br/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">s1</font></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default">0 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="ami_3.html#K2">.</a> <font color="Maroon">d1</font> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K9">Following</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">s1</font></span>)</span> <a href="ami_1.html#K11">.</a> 0</span>)</span></span>)</span> <a href="ami_3.html#K2">.</a> <font color="Maroon">d1</font>
<b>by </b><i><a class="ref" href="ami_1.html#D19">AMI_1:def 19</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K9">Following</a> <font color="Maroon">s1</font></span>)</span> <a href="ami_3.html#K2">.</a> <font color="Maroon">d1</font>
<b>by </b><i><a class="ref" href="ami_1.html#D19">AMI_1:def 19</a></i>
<br/>.= 
0
<b>by </b><i>, <a class="ref" href="ami_5.html#T35" target="_self">Th35</a>, , <a class="ref" href="ami_3.html#T8">AMI_3:8</a></i>
;<br/>
<a NAME="E79:68_1"/><b>then </b><i><font color="Green">E128</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">s1</font></span>)</span> <a href="ami_1.html#K11">.</a> 1</span>)</span> <a href="relat_1.html#K7">|</a> <span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">d1</font> <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i>, <a class="txt" href="ami_5.html#E22:68_1"><i><font color="Green">E55</font></i></a>, <a class="txt" href="ami_5.html#E24:68_1"><i><font color="Green">E56</font></i></a>, <a class="ref" href="funct_1.html#T70">FUNCT_1:70</a></i>;<br/>
<a NAME="E80:68_1"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">s2</font></span>)</span> <a href="ami_1.html#K11">.</a> 1</span>)</span> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i><a class="ref" href="ami_3.html#T36">AMI_3:36</a></i>;<br/>
<a NAME="E81:68_1"/><b>then </b>
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font> <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">s2</font></span>)</span> <a href="ami_1.html#K11">.</a> 1</span>)</span>
 
<b>by </b><i><a class="ref" href="ami_3.html#T37">AMI_3:37</a></i>;<br/>
<a NAME="E82:68_1"/><b>then </b><i><font color="Green">E129</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">s2</font></span>)</span> <a href="ami_1.html#K11">.</a> 1</span>)</span> <a href="relat_1.html#K7">|</a> <span class="p2">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font>
 
<b>by </b><i><a class="ref" href="relat_1.html#T91">RELAT_1:91</a></i>;<br/>
<a NAME="E83:68_1"/><i><font color="Green">E130</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span></span><a href="domain_1.html#K6">}</a></span>
 
<b>by </b><i><a class="ref" href="ami_3.html#T34">AMI_3:34</a></i>;<br/>
<a NAME="E84:68_1"/><b>then </b><i><font color="Green">E131</font></i>: 
 <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span>
 
<b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<a NAME="E85:68_1"/><i><font color="Green">E132</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></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="E86:68_1"/><b>then </b><i><font color="Green">E133</font></i>: 
 <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span>
 
<b>by </b><i>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E87:68_1"/><i><font color="Green">E134</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p5">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p4">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p5">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p4">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</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="E88:68_1"/><b>then </b><i><font color="Green">E135</font></i>: 
 <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a>  <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p5">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p4">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<i><font color="Green">E136</font></i>:  <a href="ami_1.html#K6">IC</a> <font color="Maroon">s2</font> = 
<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p5">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p4">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i>, <a class="ref" href="ami_5.html#T46" target="_self">Th46</a>, <a class="ref" href="grfunc_1.html#T8">GRFUNC_1:8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> </span>)</span>
<b>by </b><i>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
<font color="Maroon">il</font>
<b>by </b><i><a class="ref" href="cqc_lang.html#T6">CQC_LANG:6</a></i>
;<br/>
<a NAME="E90:68_1"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p2">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">il</font></span><a href="domain_1.html#K6">}</a></span>
 
<b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>;<br/>
<a NAME="E91:68_1"/><b>then </b><i><font color="Green">E137</font></i>: 
<font color="Maroon">il</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p2">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<a NAME="E92:68_1"/><i><font color="Green">E138</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">d2</font></span><a href="domain_1.html#K6">}</a></span>
 
<b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>;<br/>
<a NAME="E93:68_1"/>
<font color="Maroon">il</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">d2</font>
 
<b>by </b><i/>;<br/>
<a NAME="E94:68_1"/><b>then </b><i><font color="Green">E139</font></i>: 
not <font color="Maroon">il</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span>
 
<b>by </b><i><a class="ref" href="ami_5.html#T47" target="_self">Th47</a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<a NAME="E95:68_1"/><i><font color="Green">E140</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p3">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p3">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</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="E96:68_1"/><b>then </b><i><font color="Green">E141</font></i>: 
<font color="Maroon">il</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p3">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="ami_5.html#E28:68_1"><i><font color="Green">E86</font></i></a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E97:68_1"/>
<font color="Maroon">il</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i><a class="ref" href="ami_1.html#T48">AMI_1:48</a></i>;<br/>
<a NAME="E98:68_1"/><b>then </b><i><font color="Green">E142</font></i>: 
not <font color="Maroon">il</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span>
 
<b>by </b><i>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<a NAME="E99:68_1"/><i><font color="Green">E143</font></i>: 
<font color="Maroon">il</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span>
 
<b>by </b><i>, <a class="ref" href="ami_5.html#T50" target="_self">Th50</a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E100:68_1"/><b>then </b>
<font color="Maroon">il</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p5">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p4">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<b>then </b><i><font color="Green">E144</font></i>: <font color="Maroon">s2</font> <a href="ami_1.html#K13">.</a> <font color="Maroon">il</font> = 
<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p5">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p4">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">il</font>
<b>by </b><i>, <a class="ref" href="grfunc_1.html#T8">GRFUNC_1:8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">il</font>
<b>by </b><i><a class="ref" href="ami_5.html#T52" target="_self">Th52</a>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p3">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">il</font>
<b>by </b><i><a class="ref" href="ami_5.html#T51" target="_self">Th51</a>, <a class="ref" href="funct_4.html#T12">FUNCT_4:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p2">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">il</font>
<b>by </b><i><a class="ref" href="ami_5.html#T48" target="_self">Th48</a>, <a class="ref" href="funct_4.html#T12">FUNCT_4:12</a></i>
<br/>.= 
<font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font>
<b>by </b><i><a class="ref" href="cqc_lang.html#T6">CQC_LANG:6</a></i>
;<br/>
<a NAME="E102:68_1"/><i><font color="Green">E145</font></i>: 
<font color="Maroon">d2</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span>
 
<b>by </b><i><a class="ref" href="ami_5.html#T47" target="_self">Th47</a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<a NAME="E103:68_1"/><b>then </b><i><font color="Green">E146</font></i>: 
<font color="Maroon">d2</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p3">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="ami_5.html#T49" target="_self">Th49</a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E104:68_1"/>
<font color="Maroon">d2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E105:68_1"/><b>then </b><i><font color="Green">E147</font></i>: 
not <font color="Maroon">d2</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span>
 
<b>by </b><i>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<a NAME="E106:68_1"/><i><font color="Green">E148</font></i>: 
<font color="Maroon">d2</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span>
 
<b>by </b><i>, <a class="ref" href="ami_5.html#T54" target="_self">Th54</a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E107:68_1"/><b>then </b>
<font color="Maroon">d2</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p5">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p4">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span></span>)</span>
 
<b>by </b><i>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<b>then </b><i><font color="Green">E149</font></i>: <font color="Maroon">s2</font> <a href="ami_3.html#K2">.</a> <font color="Maroon">d2</font> = 
<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p5">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p4">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">d2</font>
<b>by </b><i>, <a class="ref" href="grfunc_1.html#T8">GRFUNC_1:8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p4">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p3">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><a href="ami_3.html#K12">Start-At</a> <font color="Maroon">il</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">d2</font>
<b>by </b><i>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">il</font> <a href="ami_3.html#K14">.--&gt;</a> <span class="p3">(<span class="default"><font color="Maroon">d1</font> <a href="ami_3.html#K3">:=</a> <font color="Maroon">d2</font></span>)</span></span>)</span> <a href="ami_1.html#K17">+*</a> <span class="p2">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">d2</font>
<b>by </b><i>, <a class="ref" href="funct_4.html#T12">FUNCT_4:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">d2</font> <a href="ami_3.html#K17">.--&gt;</a> 1</span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">d2</font>
<b>by </b><i><a class="txt" href="ami_5.html#E30:68_1"><i><font color="Green">E94</font></i></a>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
1
<b>by </b><i><a class="ref" href="cqc_lang.html#T6">CQC_LANG:6</a></i>
;<br/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">s2</font></span>)</span> <a href="ami_1.html#K11">.</a> <span class="p2">(<span class="default">0 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="ami_3.html#K2">.</a> <font color="Maroon">d1</font> = 
<span class="p1">(<span class="default"><a href="ami_1.html#K9">Following</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">s2</font></span>)</span> <a href="ami_1.html#K11">.</a> 0</span>)</span></span>)</span> <a href="ami_3.html#K2">.</a> <font color="Maroon">d1</font>
<b>by </b><i><a class="ref" href="ami_1.html#D19">AMI_1:def 19</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="ami_1.html#K9">Following</a> <font color="Maroon">s2</font></span>)</span> <a href="ami_3.html#K2">.</a> <font color="Maroon">d1</font>
<b>by </b><i><a class="ref" href="ami_1.html#D19">AMI_1:def 19</a></i>
<br/>.= 
1
<b>by </b><i>, <a class="ref" href="ami_5.html#T53" target="_self">Th53</a>, , <a class="ref" href="ami_3.html#T8">AMI_3:8</a></i>
;<br/>
<b>hence </b><a NAME="E110:68_1"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">s1</font></span>)</span> <a href="ami_1.html#K11">.</a> 1</span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10">Computation</a> <font color="Maroon">s2</font></span>)</span> <a href="ami_1.html#K11">.</a> 1</span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font></span>)</span>
 <b>by </b><i>, <a class="txt" href="ami_5.html#E22:68_1"><i><font color="Green">E55</font></i></a>, <a class="ref" href="ami_5.html#T37" target="_self">Th37</a>, , <a class="ref" href="funct_1.html#T70">FUNCT_1:70</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E5:68"/>
contradiction
 ;<br/>


</div>
