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

<b>reconsider </b><font color="Maroon">y</font> = 0 as    <a href="subset_1.html#M2">Element</a> of <span class="p1"><a href="domain_1.html#K7">{</a><span class="default">0,1</span><a href="domain_1.html#K7">}</a></span> <b>by </b><i><a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/>
<a NAME="E2:2_1_1"/>
( 0 <a href="hidden.html#R2">in</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default">0</span><a href="domain_1.html#K6">}</a></span> &amp;  <a href="xboole_0.html#K1">{}</a>  <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="tarski.html#K3">union</a> <font color="Maroon">N</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p2"><a href="domain_1.html#K7">{</a><span class="default">0,1</span><a href="domain_1.html#K7">}</a></span></span>)</span> <a href="finseq_1.html#K13">*</a>  )
 
<b>by </b><i><a class="ref" href="finseq_1.html#T66">FINSEQ_1:66</a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<a NAME="E3:2_1_1"/><b>then </b>
<span class="p1"><a href="tarski.html#K4">[</a><span class="default">0,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2"><a href="domain_1.html#K6">{</a><span class="default">0</span><a href="domain_1.html#K6">}</a></span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="tarski.html#K3">union</a> <font color="Maroon">N</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p4"><a href="domain_1.html#K7">{</a><span class="default">0,1</span><a href="domain_1.html#K7">}</a></span></span>)</span> <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span>
 
<b>by </b><i><a class="ref" href="zfmisc_1.html#T106">ZFMISC_1:106</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">I</font> = <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default">0,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span></span><a href="tarski.html#K1">}</a></span> as  non <a href="xboole_0.html#V1">empty</a> <a href="subset_1.html#NM2">Subset</a> of <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2"><a href="domain_1.html#K6">{</a><span class="default">0</span><a href="domain_1.html#K6">}</a></span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="tarski.html#K3">union</a> <font color="Maroon">N</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p4"><a href="domain_1.html#K7">{</a><span class="default">0,1</span><a href="domain_1.html#K7">}</a></span></span>)</span> <a href="finseq_1.html#K13">*</a> </span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span> <b>by </b><i><a class="ref" href="zfmisc_1.html#T37">ZFMISC_1:37</a></i>;<br/>
<b>reconsider </b><font color="Maroon">S</font> = <span class="p1"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span> as  non <a href="xboole_0.html#V1">empty</a> <a href="subset_1.html#NM2">Subset</a> of <span class="p1"><a href="domain_1.html#K7">{</a><span class="default">0,1</span><a href="domain_1.html#K7">}</a></span> <b>by </b><i><a class="ref" href="zfmisc_1.html#T12">ZFMISC_1:12</a></i>;<br/>
<b>set </b><font color="Maroon">f</font> = 0,1 <a href="funct_4.html#K4">--&gt;</a> <font color="Maroon">S</font>,<font color="Maroon">I</font>;<br/>
<a NAME="E6:2_1_1"/>
(  <a href="relat_1.html#K2">rng</a> <span class="p1">(<span class="default">0,1 <a href="funct_4.html#K4">--&gt;</a> <font color="Maroon">S</font>,<font color="Maroon">I</font></span>)</span> <a href="tarski.html#R1">c=</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><font color="Maroon">I</font>,<font color="Maroon">S</font></span><a href="tarski.html#K2">}</a></span> &amp; <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><font color="Maroon">I</font>,<font color="Maroon">S</font></span><a href="tarski.html#K2">}</a></span> <a href="tarski.html#R1">c=</a> <font color="Maroon">N</font> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><font color="Maroon">I</font>,<font color="Maroon">S</font></span><a href="tarski.html#K2">}</a></span> )
 
<b>by </b><i><a class="ref" href="funct_4.html#T65">FUNCT_4:65</a>, <a class="ref" href="xboole_1.html#T7">XBOOLE_1:7</a></i>;<br/>
<a NAME="E7:2_1_1"/><b>then </b>
(  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default">0,1 <a href="funct_4.html#K4">--&gt;</a> <font color="Maroon">S</font>,<font color="Maroon">I</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K7">{</a><span class="default">0,1</span><a href="domain_1.html#K7">}</a></span> &amp;  <a href="relat_1.html#K2">rng</a> <span class="p1">(<span class="default">0,1 <a href="funct_4.html#K4">--&gt;</a> <font color="Maroon">S</font>,<font color="Maroon">I</font></span>)</span> <a href="tarski.html#R1">c=</a> <font color="Maroon">N</font> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><font color="Maroon">I</font>,<font color="Maroon">S</font></span><a href="tarski.html#K2">}</a></span> )
 
<b>by </b><i><a class="ref" href="funct_4.html#T65">FUNCT_4:65</a>, <a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">f</font> = 0,1 <a href="funct_4.html#K4">--&gt;</a> <font color="Maroon">S</font>,<font color="Maroon">I</font> as   <a href="funct_2.html#NM1">Function</a> of <span class="p1"><a href="domain_1.html#K7">{</a><span class="default">0,1</span><a href="domain_1.html#K7">}</a></span>,<font color="Maroon">N</font> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><font color="Maroon">I</font>,<font color="Maroon">S</font></span><a href="tarski.html#K2">}</a></span> <b>by </b><i><a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a>, <a class="ref" href="relset_1.html#T11">RELSET_1:11</a></i>;<br/>
<a NAME="E9:2_1_1"/>
 <a href="partfun1.html#K6">id</a> <span class="p1">(<span class="default"><a href="card_3.html#K4">product</a> <font color="Maroon">f</font></span>)</span> <a href="hidden.html#R2">in</a>  <a href="funct_2.html#K1">Funcs</a> <span class="p1">(<span class="default"><a href="card_3.html#K4">product</a> <font color="Maroon">f</font></span>)</span>,<span class="p1">(<span class="default"><a href="card_3.html#K4">product</a> <font color="Maroon">f</font></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_2.html#T12">FUNCT_2:12</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">E</font> = <font color="Maroon">I</font> <a href="funcop_1.html#K2">--&gt;</a> <span class="p1">(<span class="default"><a href="partfun1.html#K6">id</a> <span class="p2">(<span class="default"><a href="card_3.html#K4">product</a> <font color="Maroon">f</font></span>)</span></span>)</span> as   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">I</font>, <a href="funct_2.html#K1">Funcs</a> <span class="p1">(<span class="default"><a href="card_3.html#K4">product</a> <font color="Maroon">f</font></span>)</span>,<span class="p1">(<span class="default"><a href="card_3.html#K4">product</a> <font color="Maroon">f</font></span>)</span> <b>by </b><i><a class="ref" href="funcop_1.html#T57">FUNCOP_1:57</a></i>;<br/>
<b>take </b>
 <a href="ami_1.html#G1" target="_self">AMI-Struct</a>(# <span class="p1"><a href="domain_1.html#K7">{</a><span class="default">0,1</span><a href="domain_1.html#K7">}</a></span>,<font color="Maroon">y</font>,<font color="Maroon">S</font>,<span class="p1"><a href="domain_1.html#K6">{</a><span class="default">0</span><a href="domain_1.html#K6">}</a></span>,<font color="Maroon">I</font>,<font color="Maroon">f</font>,<font color="Maroon">E</font> #)
;<br/>

<b>thus </b><a NAME="E11:2_1_1"/>
( the <a href="struct_0.html#U1">carrier</a> of <a href="ami_1.html#G1" target="_self">AMI-Struct</a>(# <span class="p1"><a href="domain_1.html#K7">{</a><span class="default">0,1</span><a href="domain_1.html#K7">}</a></span>,<font color="Maroon">y</font>,<font color="Maroon">S</font>,<span class="p1"><a href="domain_1.html#K6">{</a><span class="default">0</span><a href="domain_1.html#K6">}</a></span>,<font color="Maroon">I</font>,<font color="Maroon">f</font>,<font color="Maroon">E</font> #) <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K7">{</a><span class="default">0,1</span><a href="domain_1.html#K7">}</a></span> &amp; the <a href="ami_1.html#U1" target="_self">Instruction-Counter</a> of <a href="ami_1.html#G1" target="_self">AMI-Struct</a>(# <span class="p1"><a href="domain_1.html#K7">{</a><span class="default">0,1</span><a href="domain_1.html#K7">}</a></span>,<font color="Maroon">y</font>,<font color="Maroon">S</font>,<span class="p1"><a href="domain_1.html#K6">{</a><span class="default">0</span><a href="domain_1.html#K6">}</a></span>,<font color="Maroon">I</font>,<font color="Maroon">f</font>,<font color="Maroon">E</font> #) <a href="hidden.html#R1">=</a> 0 &amp; the <a href="ami_1.html#U2" target="_self">Instruction-Locations</a> of <a href="ami_1.html#G1" target="_self">AMI-Struct</a>(# <span class="p1"><a href="domain_1.html#K7">{</a><span class="default">0,1</span><a href="domain_1.html#K7">}</a></span>,<font color="Maroon">y</font>,<font color="Maroon">S</font>,<span class="p1"><a href="domain_1.html#K6">{</a><span class="default">0</span><a href="domain_1.html#K6">}</a></span>,<font color="Maroon">I</font>,<font color="Maroon">f</font>,<font color="Maroon">E</font> #) <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span> &amp; the <a href="ami_1.html#U3" target="_self">Instruction-Codes</a> of <a href="ami_1.html#G1" target="_self">AMI-Struct</a>(# <span class="p1"><a href="domain_1.html#K7">{</a><span class="default">0,1</span><a href="domain_1.html#K7">}</a></span>,<font color="Maroon">y</font>,<font color="Maroon">S</font>,<span class="p1"><a href="domain_1.html#K6">{</a><span class="default">0</span><a href="domain_1.html#K6">}</a></span>,<font color="Maroon">I</font>,<font color="Maroon">f</font>,<font color="Maroon">E</font> #) <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default">0</span><a href="domain_1.html#K6">}</a></span> &amp; the <a href="ami_1.html#U4" target="_self">Instructions</a> of <a href="ami_1.html#G1" target="_self">AMI-Struct</a>(# <span class="p1"><a href="domain_1.html#K7">{</a><span class="default">0,1</span><a href="domain_1.html#K7">}</a></span>,<font color="Maroon">y</font>,<font color="Maroon">S</font>,<span class="p1"><a href="domain_1.html#K6">{</a><span class="default">0</span><a href="domain_1.html#K6">}</a></span>,<font color="Maroon">I</font>,<font color="Maroon">f</font>,<font color="Maroon">E</font> #) <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default">0,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span></span><a href="tarski.html#K1">}</a></span> &amp; the <a href="ami_1.html#U5" target="_self">Object-Kind</a> of <a href="ami_1.html#G1" target="_self">AMI-Struct</a>(# <span class="p1"><a href="domain_1.html#K7">{</a><span class="default">0,1</span><a href="domain_1.html#K7">}</a></span>,<font color="Maroon">y</font>,<font color="Maroon">S</font>,<span class="p1"><a href="domain_1.html#K6">{</a><span class="default">0</span><a href="domain_1.html#K6">}</a></span>,<font color="Maroon">I</font>,<font color="Maroon">f</font>,<font color="Maroon">E</font> #) <a href="hidden.html#R1">=</a> 0,1 <a href="funct_4.html#K4">--&gt;</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default">0,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span></span><a href="tarski.html#K1">}</a></span> &amp; the <a href="ami_1.html#U6" target="_self">Execution</a> of <a href="ami_1.html#G1" target="_self">AMI-Struct</a>(# <span class="p1"><a href="domain_1.html#K7">{</a><span class="default">0,1</span><a href="domain_1.html#K7">}</a></span>,<font color="Maroon">y</font>,<font color="Maroon">S</font>,<span class="p1"><a href="domain_1.html#K6">{</a><span class="default">0</span><a href="domain_1.html#K6">}</a></span>,<font color="Maroon">I</font>,<font color="Maroon">f</font>,<font color="Maroon">E</font> #) <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default">0,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p1">(<span class="default"><a href="partfun1.html#K6">id</a> <span class="p2">(<span class="default"><a href="card_3.html#K4">product</a> <span class="p3">(<span class="default">0,1 <a href="funct_4.html#K4">--&gt;</a> <span class="p4"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<span class="p4"><a href="tarski.html#K1">{</a><span class="default"><span class="p5"><a href="tarski.html#K4">[</a><span class="default">0,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span></span><a href="tarski.html#K1">}</a></span></span>)</span></span>)</span></span>)</span> )
 ;<br/>


</div>
