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<b>let </b><font color="Maroon" title="c1">D</font> be  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c2">f</font> be    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Maroon" title="c1">D</font>;<br/>



<b>assume </b><a NAME="E1:28"/><i><font color="Green" title="E14">A1</font></i>: 
( <font color="Maroon" title="c2">f</font> is <a href="jordan23.html#V3" title="JORDAN23:attr.3">poorly-one-to-one</a> &amp; <font color="Maroon" title="c2">f</font> is <a href="finseq_6.html#V1" title="FINSEQ_6:attr.1">circular</a> )
 ;<br/>

<b>let </b><font color="Maroon" title="c3">p</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">D</font>;<br/>

<a NAME="E2:28"/><i><font color="Green" title="E15">A2</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="finseq_6.html#K1" title="FINSEQ_6:func.1">Rotate</a> <font color="Maroon" title="c2">f</font>,<font color="Maroon" title="c3">p</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c2">f</font>
 
<b>by </b><i><a class="ref" href="revrot_1.html#T14" title="REVROT_1:th.14">REVROT_1:14</a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="28_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:28_1"/>
(  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c2">f</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 2 or  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c2">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="28_1_1"><b>suppose </b></a><a NAME="E1:28_1_1"/><i><font color="Green" title="E16">A3</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c2">f</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 2
 ;<br/><div class="add"><a NAME="E2:28_1_1"/><b>then </b>
<font color="Maroon" title="c2">f</font> is <a href="jordan23.html#V2" title="JORDAN23:attr.2">weakly-one-to-one</a>
 <b>by </b><i><a class="txt" href="jordan23.html#E1:28"><i><font color="Green" title="E14">A1</font></i></a>, <a class="ref" href="jordan23.html#T7" target="_self" title="JORDAN23:th.7">Th7</a></i>;<br/><a NAME="E3:28_1_1"/><b>then </b>
 <a href="finseq_6.html#K1" title="FINSEQ_6:func.1">Rotate</a> <font color="Maroon" title="c2">f</font>,<font color="Maroon" title="c3">p</font> is <a href="jordan23.html#V2" title="JORDAN23:attr.2">weakly-one-to-one</a>
 <b>by </b><i><a class="txt" href="jordan23.html#E1:28"><i><font color="Green" title="E14">A1</font></i></a>, <a class="ref" href="jordan23.html#T12" target="_self" title="JORDAN23:th.12">Th12</a></i>;<br/><b>hence </b><a NAME="E4:28_1_1"/>
 <a href="finseq_6.html#K1" title="FINSEQ_6:func.1">Rotate</a> <font color="Maroon" title="c2">f</font>,<font color="Maroon" title="c3">p</font> is <a href="jordan23.html#V3" title="JORDAN23:attr.3">poorly-one-to-one</a>
 <b>by </b><i><a class="txt" href="jordan23.html#E2:28"><i><font color="Green" title="E15">A2</font></i></a>, <a class="txt" href="jordan23.html#E1:28_1_1"><i><font color="Green" title="E16">A3</font></i></a>, <a class="ref" href="jordan23.html#T7" target="_self" title="JORDAN23:th.7">Th7</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="28_1_2"><b>suppose </b></a><a NAME="E1:28_1_2"/>
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c2">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2
 ;<br/><div class="add"><b>hence </b><a NAME="E2:28_1_2"/>
 <a href="finseq_6.html#K1" title="FINSEQ_6:func.1">Rotate</a> <font color="Maroon" title="c2">f</font>,<font color="Maroon" title="c3">p</font> is <a href="jordan23.html#V3" title="JORDAN23:attr.3">poorly-one-to-one</a>
 <b>by </b><i><a class="txt" href="jordan23.html#E2:28"><i><font color="Green" title="E15">A2</font></i></a>, <a class="ref" href="jordan23.html#D3" target="_self" title="JORDAN23:def.3">Def3</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

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