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<b>let </b><font color="Maroon">G</font> be   <a href="group_1.html#NM1">Group</a>;<br/>

<a NAME="E1:38"/><i><font color="Green">E31</font></i>: 
 <a href="subset_1.html#K1">{}</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">G</font> <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="group_2.html#K5">(1).</a> <font color="Maroon">G</font></span>)</span>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T2">XBOOLE_1:2</a></i>;<br/>
<a NAME="E2:38"/>
for <font color="Olive">H</font> being <a href="group_1.html#V1">strict</a>  <a href="group_2.html#M1">Subgroup</a> of <font color="Maroon">G</font>  st  <a href="subset_1.html#K1">{}</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">G</font> <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Olive">H</font> holds <br/> <a href="group_2.html#K5">(1).</a> <font color="Maroon">G</font> is    <a href="group_2.html#M1">Subgroup</a> of <font color="Olive">H</font>
 
<b>by </b><i><a class="ref" href="group_2.html#T77">GROUP_2:77</a></i>;<br/>
<b>hence </b><a NAME="E3:38"/>
 <a href="group_4.html#K5" target="_self">gr</a> <span class="p1">(<span class="default"><a href="subset_1.html#K1">{}</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">G</font></span>)</span> <a href="group_2.html#R1">=</a>  <a href="group_2.html#K5">(1).</a> <font color="Maroon">G</font>
 <b>by </b><i>, </i>;<br/>


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