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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">H3</font> be    <a href="group_2.html#M1">Subgroup</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">H1</font> be  <a href="group_1.html#V1">strict</a>  <a href="group_2.html#M1">Subgroup</a> of <font color="Maroon">G</font>, <font color="Maroon">H2</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>given </b><font color="Maroon">g</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font><b> such that </b><a NAME="E1:111"/><i><font color="Green">E38</font></i>: 
 <a href="group_1.html#G1">HGrStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">H1</font>,the <a href="group_1.html#U1">mult</a> of <font color="Maroon">H1</font> #) <a href="hidden.html#R1">=</a> <font color="Maroon">H2</font> <a href="group_3.html#K6" target="_self">|^</a> <font color="Maroon">g</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="group_3.html#D11" target="_self">GROUP_3:def 11</a><br/>

<b>given </b><font color="Maroon">h</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font><b> such that </b><a NAME="E2:111"/><i><font color="Green">E39</font></i>: 
 <a href="group_1.html#G1">HGrStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">H2</font>,the <a href="group_1.html#U1">mult</a> of <font color="Maroon">H2</font> #) <a href="hidden.html#R1">=</a> <font color="Maroon">H3</font> <a href="group_3.html#K6" target="_self">|^</a> <font color="Maroon">h</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="group_3.html#D11" target="_self">GROUP_3:def 11</a><br/>

<a NAME="E3:111"/>
<font color="Maroon">H1</font> <a href="group_2.html#R1">=</a> <font color="Maroon">H3</font> <a href="group_3.html#K6" target="_self">|^</a> <span class="p1">(<span class="default"><font color="Maroon">h</font> <a href="group_1.html#K1">*</a> <font color="Maroon">g</font></span>)</span>
 
<b>by </b><i>, <a class="ref" href="group_3.html#T38" target="_self">Th38</a>, <a class="ref" href="group_3.html#T6" target="_self">Th6</a></i>;<br/>
<b>hence </b><a NAME="E4:111"/>
<font color="Maroon">H1</font>,<font color="Maroon">H3</font> <a href="group_3.html#R5" target="_self">are_conjugated</a> 
 <b>by </b><i><a class="txt" href="group_3.html#E37"><i><font color="Green">Lemma74</font></i></a></i>;<br/>


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