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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="group_1.html#NM1">Group</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_2.html#M1" target="_self">Subgroup</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>





<b>assume </b><a NAME="E1:93"/><i><font color="Green">E62</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> is <a href="group_1.html#V6">finite</a> or <font color="Maroon">c<sub>3</sub></font> is <a href="group_1.html#V6">finite</a> )
 ;<br/>

<a NAME="E2:93"/>
( <font color="Maroon">c<sub>2</sub></font> <a href="group_2.html#K9" target="_self">/\</a> <font color="Maroon">c<sub>3</sub></font> is    <a href="group_2.html#M1" target="_self">Subgroup</a> of <font color="Maroon">c<sub>2</sub></font> &amp; <font color="Maroon">c<sub>2</sub></font> <a href="group_2.html#K9" target="_self">/\</a> <font color="Maroon">c<sub>3</sub></font> is    <a href="group_2.html#M1" target="_self">Subgroup</a> of <font color="Maroon">c<sub>3</sub></font> )
 
<b>by </b><i><a class="txt" href="group_2.html#E119"><i><font color="Green">Lemma61</font></i></a></i>;<br/>
<b>hence </b><a NAME="E3:93"/>
<font color="Maroon">c<sub>2</sub></font> <a href="group_2.html#K9" target="_self">/\</a> <font color="Maroon">c<sub>3</sub></font> is <a href="group_1.html#V6">finite</a>
 <b>by </b><i><a class="txt" href="group_2.html#E1:93"><i><font color="Green">E62</font></i></a>, <a class="ref" href="group_2.html#T48" target="_self">Th48</a></i>;<br/>


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