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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">A</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">H</font> be  <a href="group_1.html#V1">strict</a>  <a href="group_2.html#M1">Subgroup</a> of <font color="Maroon">G</font>;<br/>





<b>assume </b><a NAME="E1:3"/><i><font color="Green">E23</font></i>: 
<font color="Maroon">A</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">H</font>
 ;<br/>

<a NAME="E2:3"/>
 <a href="group_4.html#K5">gr</a> <span class="p1">(<span class="default"><a href="group_2.html#K7">carr</a> <font color="Maroon">H</font></span>)</span> <a href="group_2.html#R1">=</a> <font color="Maroon">H</font>
 
<b>by </b><i><a class="ref" href="group_4.html#T40">GROUP_4:40</a></i>;<br/>
<b>hence </b><a NAME="E3:3"/>
 <a href="group_4.html#K5">gr</a> <font color="Maroon">A</font> <a href="group_2.html#R1">=</a> <font color="Maroon">H</font>
 <b>by </b><i>, <a class="ref" href="group_2.html#D9">GROUP_2:def 9</a></i>;<br/>


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