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<b>let </b><font color="Maroon" title="c1">G</font> be   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a>;<br/><b>let </b><font color="Maroon" title="c2">g1</font>, <font color="Maroon" title="c3">g2</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">G</font>;<br/><b>let </b><font color="Maroon" title="c4">H</font> be    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Maroon" title="c1">G</font>;<br/>







<b>assume </b><a NAME="E1:74"/>
( <font color="Maroon" title="c2">g1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="group_2.html#K7" title="GROUP_2:func.7">carr</a> <font color="Maroon" title="c4">H</font> &amp; <font color="Maroon" title="c3">g2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="group_2.html#K7" title="GROUP_2:func.7">carr</a> <font color="Maroon" title="c4">H</font> )
 ;<br/>

<a NAME="E2:74"/><b>then </b>
( <font color="Maroon" title="c2">g1</font> <a href="rlvect_1.html#R1" title="RLVECT_1:pred.1">in</a> <font color="Maroon" title="c4">H</font> &amp; <font color="Maroon" title="c3">g2</font> <a href="rlvect_1.html#R1" title="RLVECT_1:pred.1">in</a> <font color="Maroon" title="c4">H</font> )
 
<b>by </b><i><a class="txt" href="group_2.html#E99"><i><font color="Green" title="E50">Lm3</font></i></a></i>;<br/>
<a NAME="E3:74"/><b>then </b>
<font color="Maroon" title="c2">g1</font> <a href="group_1.html#K1" title="GROUP_1:func.1">*</a> <font color="Maroon" title="c3">g2</font> <a href="rlvect_1.html#R1" title="RLVECT_1:pred.1">in</a> <font color="Maroon" title="c4">H</font>
 
<b>by </b><i><a class="ref" href="group_2.html#T59" target="_self" title="GROUP_2:th.59">Th59</a></i>;<br/>
<b>hence </b><a NAME="E4:74"/>
<font color="Maroon" title="c2">g1</font> <a href="group_1.html#K1" title="GROUP_1:func.1">*</a> <font color="Maroon" title="c3">g2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="group_2.html#K7" title="GROUP_2:func.7">carr</a> <font color="Maroon" title="c4">H</font>
 <b>by </b><i><a class="txt" href="group_2.html#E99"><i><font color="Green" title="E50">Lm3</font></i></a></i>;<br/>


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