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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" target="_self">Subgroup</a> of <font color="Maroon">G</font>;<br/>



<b>assume </b><a NAME="E1:61"/>
for <font color="Olive">g</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font> holds  <font color="Olive">g</font> <a href="rlvect_1.html#R1">in</a> <font color="Maroon">H</font>
 ;<br/>

<a NAME="E2:61"/><b>then </b><i><font color="Green">E35</font></i>: 
for <font color="Olive">g</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font> holds <br/> ( ( <font color="Olive">g</font> <a href="rlvect_1.html#R1">in</a> <font color="Maroon">H</font> implies <font color="Olive">g</font> <a href="rlvect_1.html#R1">in</a> <font color="Maroon">G</font> ) &amp; ( <font color="Olive">g</font> <a href="rlvect_1.html#R1">in</a> <font color="Maroon">G</font> implies <font color="Olive">g</font> <a href="rlvect_1.html#R1">in</a> <font color="Maroon">H</font> ) )
 
<b>by </b><i><a class="ref" href="rlvect_1.html#D1">RLVECT_1:def 1</a></i>;<br/>
<a NAME="E3:61"/>
<font color="Maroon">G</font> is    <a href="group_2.html#M1" target="_self">Subgroup</a> of <font color="Maroon">G</font>
 
<b>by </b><i><a class="txt" href="group_2.html#E2:61"><i><font color="Green">E35</font></i></a></i>;<br/>
<b>hence </b><a NAME="E4:61"/>
 <a href="group_1.html#G1">HGrStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">H</font>,the <a href="group_1.html#U1">mult</a> of <font color="Maroon">H</font> #) <a href="hidden.html#R1">=</a>  <a href="group_1.html#G1">HGrStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">G</font>,the <a href="group_1.html#U1">mult</a> of <font color="Maroon">G</font> #)
 <b>by </b><i>, </i>;<br/>


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