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

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="11_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">p</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:11_1"/>
<font color="Maroon">p</font> <a href="hidden.html#R2">in</a>  <a href="matrix_2.html#K12">Permutations</a> 2
 ;<br/><b>then reconsider </b><font color="Maroon">q</font> = <font color="Maroon">p</font> as   <a href="funct_2.html#NM2">Permutation</a> of  <a href="setwop_2.html#K2">Seg</a> 2 <b>by </b><i><a class="ref" href="matrix_2.html#D11">MATRIX_2:def 11</a></i>;<br/><a NAME="E3:11_1"/><i><font color="Green">E31</font></i>: 
( <font color="Maroon">q</font> is   <a href="funct_2.html#NM1">Function</a> of  <a href="setwop_2.html#K2">Seg</a> 2, <a href="setwop_2.html#K2">Seg</a> 2 &amp;  <a href="relat_1.html#K2">rng</a> <font color="Maroon">q</font> <a href="hidden.html#R1">=</a>  <a href="setwop_2.html#K2">Seg</a> 2 )
 <b>by </b><i><a class="ref" href="funct_2.html#D3">FUNCT_2:def 3</a></i>;<br/><a NAME="E4:11_1"/><i><font color="Green">E34</font></i>: 
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">q</font> <a href="hidden.html#R1">=</a>  <a href="setwop_2.html#K2">Seg</a> 2
 <b>by </b><i><a class="ref" href="funct_2.html#T67">FUNCT_2:67</a></i>;<br/><b>reconsider </b><font color="Maroon">q</font> = <font color="Maroon">q</font> as   <a href="finseq_1.html#NM1">FinSequence</a> <b>by </b><i>, <a class="ref" href="finseq_1.html#D2">FINSEQ_1:def 2</a></i>;<br/><a NAME="E6:11_1"/>
( <font color="Maroon">q</font> <a href="hidden.html#R1">=</a>  <a href="finseq_2.html#K1">idseq</a> 2 or <font color="Maroon">q</font> <a href="hidden.html#R1">=</a>  <a href="finseq_5.html#K3">Rev</a> <span class="p1">(<span class="default"><a href="finseq_2.html#K1">idseq</a> 2</span>)</span> )
 <b>by </b><i>, , </i>;<br/><b>hence </b><a NAME="E7:11_1"/>
<font color="Maroon">p</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2">(<span class="default"><a href="finseq_2.html#K1">idseq</a> 2</span>)</span>,<span class="p2">(<span class="default"><a href="finseq_5.html#K3">Rev</a> <span class="p3">(<span class="default"><a href="finseq_2.html#K1">idseq</a> 2</span>)</span></span>)</span></span><a href="tarski.html#K2">}</a></span>
 <b>by </b><i><a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/></div><b>end;</b></div>
<a NAME="E2:11"/><b>then </b><i><font color="Green">E37</font></i>: 
 <a href="matrix_2.html#K12">Permutations</a> 2 <a href="tarski.html#R1">c=</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2">(<span class="default"><a href="finseq_2.html#K1">idseq</a> 2</span>)</span>,<span class="p2">(<span class="default"><a href="finseq_5.html#K3">Rev</a> <span class="p3">(<span class="default"><a href="finseq_2.html#K1">idseq</a> 2</span>)</span></span>)</span></span><a href="tarski.html#K2">}</a></span>
 
<b>by </b><i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="11_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:11_2"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2">(<span class="default"><a href="finseq_2.html#K1">idseq</a> 2</span>)</span>,<span class="p2">(<span class="default"><a href="finseq_5.html#K3">Rev</a> <span class="p3">(<span class="default"><a href="finseq_2.html#K1">idseq</a> 2</span>)</span></span>)</span></span><a href="tarski.html#K2">}</a></span>
 ;<br/><a NAME="E2:11_2"/><b>then </b>
( <font color="Maroon">x</font> <a href="hidden.html#R1">=</a>  <a href="finseq_2.html#K1">idseq</a> 2 or <font color="Maroon">x</font> <a href="hidden.html#R1">=</a>  <a href="finseq_5.html#K3">Rev</a> <span class="p1">(<span class="default"><a href="finseq_2.html#K1">idseq</a> 2</span>)</span> )
 <b>by </b><i><a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/><b>hence </b><a NAME="E3:11_2"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="matrix_2.html#K12">Permutations</a> 2
 <b>by </b><i>, </i>;<br/></div><b>end;</b></div>
<a NAME="E4:11"/><b>then </b>
<span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2">(<span class="default"><a href="finseq_2.html#K1">idseq</a> 2</span>)</span>,<span class="p2">(<span class="default"><a href="finseq_5.html#K3">Rev</a> <span class="p3">(<span class="default"><a href="finseq_2.html#K1">idseq</a> 2</span>)</span></span>)</span></span><a href="tarski.html#K2">}</a></span> <a href="tarski.html#R1">c=</a>  <a href="matrix_2.html#K12">Permutations</a> 2
 
<b>by </b><i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a></i>;<br/>
<b>hence </b><a NAME="E5:11"/>
 <a href="matrix_2.html#K12">Permutations</a> 2 <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2">(<span class="default"><a href="finseq_2.html#K1">idseq</a> 2</span>)</span>,<span class="p2">(<span class="default"><a href="finseq_5.html#K3">Rev</a> <span class="p3">(<span class="default"><a href="finseq_2.html#K1">idseq</a> 2</span>)</span></span>)</span></span><a href="tarski.html#K2">}</a></span>
 <b>by </b><i>, <a class="ref" href="xboole_0.html#D10">XBOOLE_0:def 10</a></i>;<br/>


</div>
