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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">H</font> be    <a href="group_2.html#M1">Subgroup</a> of <font color="Maroon">G</font>;<br/>



<a NAME="E1:70"/><i><font color="Green">E31</font></i>: 
 <a href="subset_1.html#K2">[#]</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">G</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="group_2.html#K6">(Omega).</a> <font color="Maroon">G</font></span>)</span>
 
<b>by </b><i><a class="ref" href="subset_1.html#D4">SUBSET_1:def 4</a></i>;<br/>
<a NAME="E2:70"/>
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="group_2.html#K6">(Omega).</a> <font color="Maroon">G</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="group_2.html#K7">carr</a> <font color="Maroon">H</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="subset_1.html#K2">[#]</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">G</font>
 
<b>by </b><i>, <a class="ref" href="subset_1.html#T28">SUBSET_1:28</a></i>;<br/>
<b>hence </b><a NAME="E3:70"/>
<span class="p1">(<span class="default"><a href="group_2.html#K6">(Omega).</a> <font color="Maroon">G</font></span>)</span> <a href="group_4.html#K8" target="_self">"\/"</a> <font color="Maroon">H</font> <a href="group_2.html#R1">=</a>  <a href="group_2.html#K6">(Omega).</a> <font color="Maroon">G</font>
 <b>by </b><i>, </i>;<br/>

<b>hence </b><a NAME="E4:70"/>
<font color="Maroon">H</font> <a href="group_4.html#K8" target="_self">"\/"</a> <span class="p1">(<span class="default"><a href="group_2.html#K6">(Omega).</a> <font color="Maroon">G</font></span>)</span> <a href="group_2.html#R1">=</a>  <a href="group_2.html#K6">(Omega).</a> <font color="Maroon">G</font>
 ;<br/>


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