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<b>let </b><font color="Maroon">p1</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">p3</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">p2</font> be    <a href="hidden.html#M1">set</a> ;<br/>





<b>assume </b><a NAME="E1:29"/><i><font color="Green">E30</font></i>: 
( <font color="Maroon">p1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">p3</font> &amp; <font color="Maroon">p2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">p3</font> )
 ;<br/>

<a NAME="E2:29"/>
3 <a href="xxreal_0.html#R1">&lt;=</a>  <a href="finseq_1.html#K3">len</a> <span class="p1"><a href="finseq_1.html#K11">&lt;*</a><span class="default"><font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">p3</font></span><a href="finseq_1.html#K11">*&gt;</a></span>
 
<b>by </b><i><a class="ref" href="finseq_1.html#T62">FINSEQ_1:62</a></i>;<br/>
<a NAME="E3:29"/><b>then </b><i><font color="Green">E31</font></i>: 
3 <a href="hidden.html#R2">in</a>  <a href="finseq_1.html#K4">dom</a> <span class="p1"><a href="finseq_1.html#K11">&lt;*</a><span class="default"><font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">p3</font></span><a href="finseq_1.html#K11">*&gt;</a></span>
 
<b>by </b><i><a class="ref" href="finseq_3.html#T27">FINSEQ_3:27</a></i>;<br/>
<a NAME="E4:29"/><i><font color="Green">E32</font></i>: 
<span class="p1"><a href="finseq_1.html#K11">&lt;*</a><span class="default"><font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">p3</font></span><a href="finseq_1.html#K11">*&gt;</a></span> <a href="funct_1.html#K1">.</a> 3 <a href="hidden.html#R1">=</a> <font color="Maroon">p3</font>
 
<b>by </b><i><a class="ref" href="finseq_1.html#T62">FINSEQ_1:62</a></i>;<br/>
<a NAME="E5:29"/><i><font color="Green">E33</font></i>: 
( <span class="p1"><a href="finseq_1.html#K11">&lt;*</a><span class="default"><font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">p3</font></span><a href="finseq_1.html#K11">*&gt;</a></span> <a href="funct_1.html#K1">.</a> 2 <a href="hidden.html#R1">=</a> <font color="Maroon">p2</font> &amp; <span class="p1"><a href="finseq_1.html#K11">&lt;*</a><span class="default"><font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">p3</font></span><a href="finseq_1.html#K11">*&gt;</a></span> <a href="funct_1.html#K1">.</a> 1 <a href="hidden.html#R1">=</a> <font color="Maroon">p1</font> )
 
<b>by </b><i><a class="ref" href="finseq_1.html#T62">FINSEQ_1:62</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="29_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">i</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>assume </b><a NAME="E1:29_1"/><i><font color="Green">E34</font></i>: 
1 <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">i</font>
 ;<br/><b>assume </b><a NAME="E2:29_1"/>
<font color="Maroon">i</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 2 <a href="nat_1.html#K1">+</a> 1
 ;<br/><a NAME="E3:29_1"/><b>then </b>
( <font color="Maroon">i</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp; <font color="Maroon">i</font> <a href="xxreal_0.html#R1">&lt;=</a> 2 )
 <b>by </b><i><a class="txt" href="finseq_6.html#E1:29"><i><font color="Green">E30</font></i></a>, <a class="ref" href="nat_1.html#T38">NAT_1:38</a></i>;<br/><b>hence </b><a NAME="E4:29_1"/>
<span class="p1"><a href="finseq_1.html#K11">&lt;*</a><span class="default"><font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">p3</font></span><a href="finseq_1.html#K11">*&gt;</a></span> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <span class="p1"><a href="finseq_1.html#K11">&lt;*</a><span class="default"><font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">p3</font></span><a href="finseq_1.html#K11">*&gt;</a></span> <a href="funct_1.html#K1">.</a> 3
 <b>by </b><i>, <a class="ref" href="finseq_6.html#T3" target="_self">Th3</a>, , <a class="ref" href="cqc_the1.html#T3">CQC_THE1:3</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E7:29"/>
<font color="Maroon">p3</font> <a href="finseq_4.html#K5">..</a> <span class="p1"><a href="finseq_1.html#K11">&lt;*</a><span class="default"><font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">p3</font></span><a href="finseq_1.html#K11">*&gt;</a></span> <a href="hidden.html#R1">=</a> 3
 <b>by </b><i>, <a class="ref" href="finseq_6.html#T3" target="_self">Th3</a>, </i>;<br/>


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