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<b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">Gc</font> be  <a href="group_1.html#V1">strict</a> <a href="gr_cy_1.html#V1">cyclic</a> <a href="group_1.html#NM1">Group</a>;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:24"/><i><font color="Green">E48</font></i>: 
<font color="Maroon">Gc</font> is <a href="group_1.html#V6">finite</a>
 <b>and </b><br/><a NAME="E2:24"/><i><font color="Green">E49</font></i>: 
 <a href="group_1.html#K9">ord</a> <font color="Maroon">Gc</font> <a href="hidden.html#R1">=</a> <font color="Maroon">n</font>
 <b>and </b><br/><a NAME="E3:24"/><i><font color="Green">E50</font></i>: 
 ex <font color="Olive">k</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>  st <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> 2 <a href="nat_1.html#K2">*</a> <font color="Olive">k</font>
 ;<br/>

<b>consider </b><font color="Maroon">g1</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">Gc</font><b> such that </b><br/><a NAME="E5:24"/><i><font color="Green">E54</font></i>: 
 <a href="group_1.html#K7">ord</a> <font color="Maroon">g1</font> <a href="hidden.html#R1">=</a> 2
 <b>and </b><br/><a NAME="E6:24"/>
for <font color="Olive">g2</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">Gc</font>  st  <a href="group_1.html#K7">ord</a> <font color="Olive">g2</font> <a href="hidden.html#R1">=</a> 2 holds <br/><font color="Maroon">g1</font> <a href="hidden.html#R1">=</a> <font color="Olive">g2</font>
 <b>by </b><i>, , , </i>;<br/>
<b>take </b>
 <a href="group_4.html#K5">gr</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">g1</font></span><a href="domain_1.html#K6">}</a></span>
;<br/>

<b>thus </b><a NAME="E7:24"/>
(  <a href="group_1.html#K9">ord</a> <span class="p1">(<span class="default"><a href="group_4.html#K5">gr</a> <span class="p2"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">g1</font></span><a href="domain_1.html#K6">}</a></span></span>)</span> <a href="hidden.html#R1">=</a> 2 &amp;  <a href="group_4.html#K5">gr</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">g1</font></span><a href="domain_1.html#K6">}</a></span> is  <a href="gr_cy_1.html#V1">cyclic</a> <a href="group_1.html#NM1">Group</a> )
 <b>by </b><i>, , , <a class="ref" href="gr_cy_1.html#T27">GR_CY_1:27</a></i>;<br/>


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