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

<b>let </b><font color="Maroon" title="c1">n</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/><b>let </b><font color="Maroon" title="c2">Gc</font> be  <a href="group_1.html#V1" title="GROUP_1:attr.1">strict</a> <a href="gr_cy_1.html#V1" title="GR_CY_1:attr.1">cyclic</a> <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a>;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:24"/><i><font color="Green" title="E18">A1</font></i>: 
<font color="Maroon" title="c2">Gc</font> is <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>
 <b>and </b><br/><a NAME="E2:24"/><i><font color="Green" title="E19">A2</font></i>: 
 <a href="group_1.html#K9" title="GROUP_1:func.9">ord</a> <font color="Maroon" title="c2">Gc</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">n</font>
 <b>and </b><br/><a NAME="E3:24"/><i><font color="Green" title="E20">A3</font></i>: 
 ex <font color="Olive" title="b1">k</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <font color="Maroon" title="c1">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 <a href="nat_1.html#K4" title="NAT_1:func.4">*</a> <font color="Olive" title="b1">k</font>
 ;<br/>

<b>consider </b><font color="Maroon" title="c3">g1</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c2">Gc</font><b> such that </b><br/><a NAME="E5:24"/><i><font color="Green" title="E21">A4</font></i>: 
 <a href="group_1.html#K7" title="GROUP_1:func.7">ord</a> <font color="Maroon" title="c3">g1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2
 <b>and </b><br/><a NAME="E6:24"/>
for <font color="Olive" title="b1">g2</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c2">Gc</font>  st  <a href="group_1.html#K7" title="GROUP_1:func.7">ord</a> <font color="Olive" title="b1">g2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 holds <br/><font color="Maroon" title="c3">g1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">g2</font>
 <b>by </b><i><a class="txt" href="gr_cy_2.html#E1:24"><i><font color="Green" title="E18">A1</font></i></a>, <a class="txt" href="gr_cy_2.html#E2:24"><i><font color="Green" title="E19">A2</font></i></a>, <a class="txt" href="gr_cy_2.html#E3:24"><i><font color="Green" title="E20">A3</font></i></a>, <a class="ref" href="gr_cy_2.html#T30" target="_self" title="GR_CY_2:th.30">Th30</a></i>;<br/>
<b>take </b>
 <a href="group_4.html#K5" title="GROUP_4:func.5">gr</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Maroon" title="c3">g1</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>
;<br/>

<b>thus </b><a NAME="E7:24"/>
(  <a href="group_1.html#K9" title="GROUP_1:func.9">ord</a> <span class="p1">(<span class="default"><a href="group_4.html#K5" title="GROUP_4:func.5">gr</a> <span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Maroon" title="c3">g1</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 &amp;  <a href="group_4.html#K5" title="GROUP_4:func.5">gr</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Maroon" title="c3">g1</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> is  <a href="gr_cy_1.html#V1" title="GR_CY_1:attr.1">cyclic</a> <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a> )
 <b>by </b><i><a class="txt" href="gr_cy_2.html#E1:24"><i><font color="Green" title="E18">A1</font></i></a>, <a class="txt" href="gr_cy_2.html#E5:24"><i><font color="Green" title="E21">A4</font></i></a>, <a class="ref" href="gr_cy_2.html#T10" target="_self" title="GR_CY_2:th.10">Th10</a>, <a class="ref" href="gr_cy_1.html#T27" title="GR_CY_1:th.27">GR_CY_1:27</a></i>;<br/>


</div>
