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<b>let </b><font color="Maroon">G</font> be   <a href="group_1.html#NM1">Group</a>;<br/><b>let </b><font color="Maroon">H1</font> be    <a href="group_2.html#M1" target="_self">Subgroup</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">H2</font> be    <a href="group_2.html#M1" target="_self">Subgroup</a> of <font color="Maroon">G</font>;<br/>





<b>assume </b><a NAME="E1:93"/><i><font color="Green">E35</font></i>: 
( <font color="Maroon">H1</font> is <a href="group_1.html#V6">finite</a> or <font color="Maroon">H2</font> is <a href="group_1.html#V6">finite</a> )
 ;<br/>

<a NAME="E2:93"/>
( <font color="Maroon">H1</font> <a href="group_2.html#K9" target="_self">/\</a> <font color="Maroon">H2</font> is    <a href="group_2.html#M1" target="_self">Subgroup</a> of <font color="Maroon">H1</font> &amp; <font color="Maroon">H1</font> <a href="group_2.html#K9" target="_self">/\</a> <font color="Maroon">H2</font> is    <a href="group_2.html#M1" target="_self">Subgroup</a> of <font color="Maroon">H2</font> )
 
<b>by </b><i><a class="ref" href="group_2.html#T22" target="_self">Th22</a></i>;<br/>
<b>hence </b><a NAME="E3:93"/>
<font color="Maroon">H1</font> <a href="group_2.html#K9" target="_self">/\</a> <font color="Maroon">H2</font> is <a href="group_1.html#V6">finite</a>
 <b>by </b><i><a class="ref" href="group_2.html#T26" target="_self">Th26</a>, <a class="ref" href="group_2.html#T3" target="_self">Th3</a></i>;<br/>


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