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<b>let </b><font color="Maroon" title="c1">G</font> be   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a>;<br/><b>let </b><font color="Maroon" title="c2">H</font> be    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Maroon" title="c1">G</font>;<br/>



<a NAME="E1:88"/><i><font color="Green" title="E55">A1</font></i>: 
 <a href="group_2.html#K5" title="GROUP_2:func.5">(1).</a> <font color="Maroon" title="c1">G</font> is    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Maroon" title="c2">H</font>
 
<b>by </b><i><a class="ref" href="group_2.html#T77" target="_self" title="GROUP_2:th.77">Th77</a></i>;<br/>
<b>hence </b><a NAME="E2:88"/>
<span class="p1">(<span class="default"><a href="group_2.html#K5" title="GROUP_2:func.5">(1).</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="group_2.html#K9" title="GROUP_2:func.9">/\</a> <font color="Maroon" title="c2">H</font> <a href="group_2.html#R1" title="GROUP_2:pred.1">=</a>  <a href="group_2.html#K5" title="GROUP_2:func.5">(1).</a> <font color="Maroon" title="c1">G</font>
 <b>by </b><i><a class="txt" href="group_2.html#E115"><i><font color="Green" title="E54">Lm3</font></i></a></i>;<br/>

<b>thus </b><a NAME="E3:88"/>
<font color="Maroon" title="c2">H</font> <a href="group_2.html#K9" title="GROUP_2:func.9">/\</a> <span class="p1">(<span class="default"><a href="group_2.html#K5" title="GROUP_2:func.5">(1).</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="group_2.html#R1" title="GROUP_2:pred.1">=</a>  <a href="group_2.html#K5" title="GROUP_2:func.5">(1).</a> <font color="Maroon" title="c1">G</font>
 <b>by </b><i><a class="txt" href="group_2.html#E1:88"><i><font color="Green" title="E55">A1</font></i></a>, <a class="txt" href="group_2.html#E115"><i><font color="Green" title="E54">Lm3</font></i></a></i>;<br/>


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