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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></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">E18</font></i>: 
<font color="Maroon">c<sub>2</sub></font> is <a href="group_1.html#V6">finite</a>
 <b>and </b><br/><a NAME="E2:24"/><i><font color="Green">E19</font></i>: 
 <a href="group_1.html#K9">ord</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font>
 <b>and </b><br/><a NAME="E3:24"/><i><font color="Green">E20</font></i>: 
ex <font color="Olive">b<sub>1</sub></font> being  <a href="nat_1.html#NM1">Nat</a> st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> 2 <a href="nat_1.html#K2">*</a> <font color="Olive">b<sub>1</sub></font>
 ;<br/>

<b>consider </b><font color="Maroon">c<sub>3</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>2</sub></font><b> such that </b><br/><a NAME="E5:24"/><i><font color="Green">E21</font></i>: 
 <a href="group_1.html#K7">ord</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> 2
 <b>and </b><br/><a NAME="E6:24"/>
for <font color="Olive">b<sub>1</sub></font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>2</sub></font> st  <a href="group_1.html#K7">ord</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> 2 holds <br/><font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="gr_cy_2.html#E1:24"><i><font color="Green">E18</font></i></a>, <a class="txt" href="gr_cy_2.html#E2:24"><i><font color="Green">E19</font></i></a>, <a class="txt" href="gr_cy_2.html#E3:24"><i><font color="Green">E20</font></i></a>, <a class="ref" href="gr_cy_2.html#T30" target="_self">Th30</a></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">c<sub>3</sub></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">c<sub>3</sub></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">c<sub>3</sub></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="txt" href="gr_cy_2.html#E1:24"><i><font color="Green">E18</font></i></a>, <a class="txt" href="gr_cy_2.html#E5:24"><i><font color="Green">E21</font></i></a>, <a class="ref" href="gr_cy_2.html#T10" target="_self">Th10</a>, <a class="ref" href="gr_cy_1.html#T27">GR_CY_1:27</a></i>;<br/>


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