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

<b>set </b><font color="Maroon">A</font> = <span class="p1"><a href="mcart_1.html#K12">[:</a><span class="default"><span class="p2">(<span class="default"><a href="turing_1.html#K3" target="_self">SegM</a> 4</span>)</span>,<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><a href="mcart_1.html#K12">:]</a></span>;<br/>
<b>set </b><font color="Maroon">B</font> = <span class="p1"><a href="domain_1.html#K8">{</a><span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0,1</span><a href="domain_1.html#K8">}</a></span>;<br/>
<b>set </b><font color="Maroon">C</font> = <span class="p1"><a href="mcart_1.html#K13">[:</a><span class="default"><span class="p2">(<span class="default"><a href="turing_1.html#K3" target="_self">SegM</a> 4</span>)</span>,<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 class="p2"><a href="domain_1.html#K8">{</a><span class="default"><span class="p3">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0,1</span><a href="domain_1.html#K8">}</a></span></span><a href="mcart_1.html#K13">:]</a></span>;<br/>
<b>reconsider </b><font color="Maroon">b0</font> = 0, <font color="Maroon">b1</font> = 1 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/>
<b>reconsider </b><font color="Maroon">L</font> =  <a href="real_1.html#K1">-</a> 1 as    <a href="subset_1.html#M2">Element</a> of <span class="p1"><a href="domain_1.html#K8">{</a><span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0,1</span><a href="domain_1.html#K8">}</a></span> <b>by </b><i><a class="ref" href="enumset1.html#D1">ENUMSET1:def 1</a></i>;<br/>
<b>reconsider </b><font color="Maroon">h</font> = 0, <font color="Maroon">R</font> = 1 as    <a href="subset_1.html#M2">Element</a> of <span class="p1"><a href="domain_1.html#K8">{</a><span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0,1</span><a href="domain_1.html#K8">}</a></span> <b>by </b><i><a class="ref" href="enumset1.html#D1">ENUMSET1:def 1</a></i>;<br/>
<b>reconsider </b><font color="Maroon">p0</font> = 0, <font color="Maroon">p1</font> = 1, <font color="Maroon">p2</font> = 2, <font color="Maroon">p3</font> = 3, <font color="Maroon">p4</font> = 4 as    <a href="subset_1.html#M2">Element</a> of  <a href="turing_1.html#K3" target="_self">SegM</a> 4 <b>by </b><i/>;<br/>
<a NAME="E5:56_1_1"/>
<span class="p1"><a href="mcart_1.html#K13">[:</a><span class="default"><span class="p2">(<span class="default"><a href="turing_1.html#K3" target="_self">SegM</a> 4</span>)</span>,<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 class="p2"><a href="domain_1.html#K8">{</a><span class="default"><span class="p3">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0,1</span><a href="domain_1.html#K8">}</a></span></span><a href="mcart_1.html#K13">:]</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="mcart_1.html#K12">[:</a><span class="default"><span class="p2"><a href="mcart_1.html#K12">[:</a><span class="default"><span class="p3">(<span class="default"><a href="turing_1.html#K3" target="_self">SegM</a> 4</span>)</span>,<span class="p3"><a href="domain_1.html#K7">{</a><span class="default">0,1</span><a href="domain_1.html#K7">}</a></span></span><a href="mcart_1.html#K12">:]</a></span>,<span class="p2"><a href="domain_1.html#K8">{</a><span class="default"><span class="p3">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0,1</span><a href="domain_1.html#K8">}</a></span></span><a href="mcart_1.html#K12">:]</a></span>
 
<b>by </b><i><a class="ref" href="zfmisc_1.html#D3">ZFMISC_1:def 3</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">OP</font> =  <a href="turing_1.html#K12" target="_self">id</a> <span class="p1"><a href="mcart_1.html#K12">[:</a><span class="default"><span class="p2">(<span class="default"><a href="turing_1.html#K3" target="_self">SegM</a> 4</span>)</span>,<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><a href="mcart_1.html#K12">:]</a></span>,<span class="p1"><a href="domain_1.html#K8">{</a><span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0,1</span><a href="domain_1.html#K8">}</a></span>,<font color="Maroon">h</font> as   <a href="funct_2.html#NM1">Function</a> of <span class="p1"><a href="mcart_1.html#K12">[:</a><span class="default"><span class="p2">(<span class="default"><a href="turing_1.html#K3" target="_self">SegM</a> 4</span>)</span>,<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><a href="mcart_1.html#K12">:]</a></span>,<span class="p1"><a href="mcart_1.html#K13">[:</a><span class="default"><span class="p2">(<span class="default"><a href="turing_1.html#K3" target="_self">SegM</a> 4</span>)</span>,<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 class="p2"><a href="domain_1.html#K8">{</a><span class="default"><span class="p3">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0,1</span><a href="domain_1.html#K8">}</a></span></span><a href="mcart_1.html#K13">:]</a></span> ;<br/>
<a NAME="E7:56_1_1"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="turing_1.html#K12" target="_self">id</a> <span class="p2"><a href="mcart_1.html#K12">[:</a><span class="default"><span class="p3">(<span class="default"><a href="turing_1.html#K3" target="_self">SegM</a> 4</span>)</span>,<span class="p3"><a href="domain_1.html#K7">{</a><span class="default">0,1</span><a href="domain_1.html#K7">}</a></span></span><a href="mcart_1.html#K12">:]</a></span>,<span class="p2"><a href="domain_1.html#K8">{</a><span class="default"><span class="p3">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0,1</span><a href="domain_1.html#K8">}</a></span>,0</span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default">0,0</span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p2"><a href="domain_1.html#K4">[</a><span class="default">1,0,1</span><a href="domain_1.html#K4">]</a></span></span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p0">(<span class="default"><span class="p1"><a href="domain_1.html#K1">[</a><span class="default">1,1</span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p1"><a href="domain_1.html#K4">[</a><span class="default">1,1,1</span><a href="domain_1.html#K4">]</a></span></span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p5">(<span class="default"><span class="p0"><a href="domain_1.html#K1">[</a><span class="default">1,0</span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p0"><a href="domain_1.html#K4">[</a><span class="default">2,1,1</span><a href="domain_1.html#K4">]</a></span></span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p4">(<span class="default"><span class="p5"><a href="domain_1.html#K1">[</a><span class="default">2,0</span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p5"><a href="domain_1.html#K4">[</a><span class="default">3,0,<span class="p0">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span></span><a href="domain_1.html#K4">]</a></span></span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p3">(<span class="default"><span class="p4"><a href="domain_1.html#K1">[</a><span class="default">2,1</span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p4"><a href="domain_1.html#K4">[</a><span class="default">3,0,<span class="p5">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span></span><a href="domain_1.html#K4">]</a></span></span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p2">(<span class="default"><span class="p3"><a href="domain_1.html#K1">[</a><span class="default">3,1</span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p3"><a href="domain_1.html#K4">[</a><span class="default">3,1,<span class="p4">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span></span><a href="domain_1.html#K4">]</a></span></span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default">3,0</span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p2"><a href="domain_1.html#K4">[</a><span class="default">4,0,0</span><a href="domain_1.html#K4">]</a></span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">OP</font> <a href="turing_1.html#K1" target="_self">+*</a> <span class="p1">(<span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">p0</font>,<font color="Maroon">b0</font></span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p2"><a href="domain_1.html#K4">[</a><span class="default"><font color="Maroon">p1</font>,<font color="Maroon">b0</font>,<font color="Maroon">R</font></span><a href="domain_1.html#K4">]</a></span></span>)</span></span>)</span> <a href="turing_1.html#K1" target="_self">+*</a> <span class="p0">(<span class="default"><span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">p1</font>,<font color="Maroon">b1</font></span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p1"><a href="domain_1.html#K4">[</a><span class="default"><font color="Maroon">p1</font>,<font color="Maroon">b1</font>,<font color="Maroon">R</font></span><a href="domain_1.html#K4">]</a></span></span>)</span></span>)</span> <a href="turing_1.html#K1" target="_self">+*</a> <span class="p5">(<span class="default"><span class="p0"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">p1</font>,<font color="Maroon">b0</font></span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p0"><a href="domain_1.html#K4">[</a><span class="default"><font color="Maroon">p2</font>,<font color="Maroon">b1</font>,<font color="Maroon">R</font></span><a href="domain_1.html#K4">]</a></span></span>)</span></span>)</span> <a href="turing_1.html#K1" target="_self">+*</a> <span class="p4">(<span class="default"><span class="p5"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">p2</font>,<font color="Maroon">b0</font></span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p5"><a href="domain_1.html#K4">[</a><span class="default"><font color="Maroon">p3</font>,<font color="Maroon">b0</font>,<font color="Maroon">L</font></span><a href="domain_1.html#K4">]</a></span></span>)</span></span>)</span> <a href="turing_1.html#K1" target="_self">+*</a> <span class="p3">(<span class="default"><span class="p4"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">p2</font>,<font color="Maroon">b1</font></span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p4"><a href="domain_1.html#K4">[</a><span class="default"><font color="Maroon">p3</font>,<font color="Maroon">b0</font>,<font color="Maroon">L</font></span><a href="domain_1.html#K4">]</a></span></span>)</span></span>)</span> <a href="turing_1.html#K1" target="_self">+*</a> <span class="p2">(<span class="default"><span class="p3"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">p3</font>,<font color="Maroon">b1</font></span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p3"><a href="domain_1.html#K4">[</a><span class="default"><font color="Maroon">p3</font>,<font color="Maroon">b1</font>,<font color="Maroon">L</font></span><a href="domain_1.html#K4">]</a></span></span>)</span></span>)</span> <a href="turing_1.html#K1" target="_self">+*</a> <span class="p1">(<span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">p3</font>,<font color="Maroon">b0</font></span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p2"><a href="domain_1.html#K4">[</a><span class="default"><font color="Maroon">p4</font>,<font color="Maroon">b0</font>,<font color="Maroon">h</font></span><a href="domain_1.html#K4">]</a></span></span>)</span>
 
;<br/>
<b>hence </b><a NAME="E8:56_1_1"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="turing_1.html#K12" target="_self">id</a> <span class="p2"><a href="mcart_1.html#K12">[:</a><span class="default"><span class="p3">(<span class="default"><a href="turing_1.html#K3" target="_self">SegM</a> 4</span>)</span>,<span class="p3"><a href="domain_1.html#K7">{</a><span class="default">0,1</span><a href="domain_1.html#K7">}</a></span></span><a href="mcart_1.html#K12">:]</a></span>,<span class="p2"><a href="domain_1.html#K8">{</a><span class="default"><span class="p3">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0,1</span><a href="domain_1.html#K8">}</a></span>,0</span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default">0,0</span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p2"><a href="domain_1.html#K4">[</a><span class="default">1,0,1</span><a href="domain_1.html#K4">]</a></span></span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p0">(<span class="default"><span class="p1"><a href="domain_1.html#K1">[</a><span class="default">1,1</span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p1"><a href="domain_1.html#K4">[</a><span class="default">1,1,1</span><a href="domain_1.html#K4">]</a></span></span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p5">(<span class="default"><span class="p0"><a href="domain_1.html#K1">[</a><span class="default">1,0</span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p0"><a href="domain_1.html#K4">[</a><span class="default">2,1,1</span><a href="domain_1.html#K4">]</a></span></span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p4">(<span class="default"><span class="p5"><a href="domain_1.html#K1">[</a><span class="default">2,0</span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p5"><a href="domain_1.html#K4">[</a><span class="default">3,0,<span class="p0">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span></span><a href="domain_1.html#K4">]</a></span></span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p3">(<span class="default"><span class="p4"><a href="domain_1.html#K1">[</a><span class="default">2,1</span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p4"><a href="domain_1.html#K4">[</a><span class="default">3,0,<span class="p5">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span></span><a href="domain_1.html#K4">]</a></span></span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p2">(<span class="default"><span class="p3"><a href="domain_1.html#K1">[</a><span class="default">3,1</span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p3"><a href="domain_1.html#K4">[</a><span class="default">3,1,<span class="p4">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span></span><a href="domain_1.html#K4">]</a></span></span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><span class="p2"><a href="domain_1.html#K1">[</a><span class="default">3,0</span><a href="domain_1.html#K1">]</a></span> <a href="turing_1.html#K2" target="_self">.--&gt;</a> <span class="p2"><a href="domain_1.html#K4">[</a><span class="default">4,0,0</span><a href="domain_1.html#K4">]</a></span></span>)</span> is   <a href="funct_2.html#NM1">Function</a> of <span class="p1"><a href="mcart_1.html#K12">[:</a><span class="default"><span class="p2">(<span class="default"><a href="turing_1.html#K3" target="_self">SegM</a> 4</span>)</span>,<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><a href="mcart_1.html#K12">:]</a></span>,<span class="p1"><a href="mcart_1.html#K13">[:</a><span class="default"><span class="p2">(<span class="default"><a href="turing_1.html#K3" target="_self">SegM</a> 4</span>)</span>,<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 class="p2"><a href="domain_1.html#K8">{</a><span class="default"><span class="p3">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0,1</span><a href="domain_1.html#K8">}</a></span></span><a href="mcart_1.html#K13">:]</a></span>
 ;<br/>


</div>
