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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>, <font color="Maroon">c<sub>3</sub></font> be  <a href="group_1.html#V1">strict</a> <a href="group_1.html#NM1">Group</a>;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:19"/><i><font color="Green">E17</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="E2:19"/><i><font color="Green">E18</font></i>: 
<font color="Maroon">c<sub>3</sub></font> is <a href="group_1.html#V6">finite</a>
 <b>and </b><br/><a NAME="E3:19"/><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="E4:19"/><i><font color="Green">E20</font></i>: 
 <a href="group_1.html#K9">ord</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font>
 <b>and </b><br/><a NAME="E5:19"/><i><font color="Green">E21</font></i>: 
<font color="Maroon">c<sub>1</sub></font> is <a href="int_2.html#V1">prime</a>
 ;<br/>

<a NAME="E6:19"/><i><font color="Green">E22</font></i>: 
<font color="Maroon">c<sub>2</sub></font> 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#E1:19"><i><font color="Green">E17</font></i></a>, <a class="txt" href="gr_cy_2.html#E3:19"><i><font color="Green">E19</font></i></a>, <a class="txt" href="gr_cy_2.html#E5:19"><i><font color="Green">E21</font></i></a>, <a class="ref" href="gr_cy_1.html#T45">GR_CY_1:45</a></i>;<br/>
<a NAME="E7:19"/>
<font color="Maroon">c<sub>3</sub></font> 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#E2:19"><i><font color="Green">E18</font></i></a>, <a class="txt" href="gr_cy_2.html#E4:19"><i><font color="Green">E20</font></i></a>, <a class="txt" href="gr_cy_2.html#E5:19"><i><font color="Green">E21</font></i></a>, <a class="ref" href="gr_cy_1.html#T45">GR_CY_1:45</a></i>;<br/>
<b>hence </b><a NAME="E8:19"/>
<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="group_6.html#R2">are_isomorphic</a> 
 <b>by </b><i><a class="txt" href="gr_cy_2.html#E1:19"><i><font color="Green">E17</font></i></a>, <a class="txt" href="gr_cy_2.html#E2:19"><i><font color="Green">E18</font></i></a>, <a class="txt" href="gr_cy_2.html#E3:19"><i><font color="Green">E19</font></i></a>, <a class="txt" href="gr_cy_2.html#E4:19"><i><font color="Green">E20</font></i></a>, <a class="txt" href="gr_cy_2.html#E6:19"><i><font color="Green">E22</font></i></a>, <a class="ref" href="gr_cy_2.html#T23" target="_self">Th23</a></i>;<br/>


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