<?xml version="1.0"?>
<div class="add">

<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">a</font>, <font color="Maroon" title="c3">b</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">H1</font>, <font color="Maroon" title="c5">H2</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="E1:70"/>
( <font color="Maroon" title="c2">a</font> <a href="rlvect_1.html#R1" title="RLVECT_1:pred.1">in</a> <font color="Maroon" title="c4">H1</font> &amp; <font color="Maroon" title="c3">b</font> <a href="rlvect_1.html#R1" title="RLVECT_1:pred.1">in</a> <font color="Maroon" title="c5">H2</font> )
 ;<br/>

<a NAME="E2:70"/><b>then </b>
( <font color="Maroon" title="c2">a</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">H1</font> &amp; <font color="Maroon" title="c3">b</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="c5">H2</font> )
 
<b>by </b><i><a class="ref" href="rlvect_1.html#D1" title="RLVECT_1:def.1">RLVECT_1:def 1</a></i>;<br/>
<a NAME="E3:70"/><b>then </b>
<span class="p1"><a href="group_5.html#K2" title="GROUP_5:func.2">[.</a><span class="default"><font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font></span><a href="group_5.html#K2" title="GROUP_5:func.2">.]</a></span> <a href="rlvect_1.html#R1" title="RLVECT_1:pred.1">in</a> <span class="p1"><a href="group_5.html#K7" title="GROUP_5:func.7">[.</a><span class="default"><span class="p2">(<span class="default"><a href="group_2.html#K7" title="GROUP_2:func.7">carr</a> <font color="Maroon" title="c4">H1</font></span>)</span>,<span class="p2">(<span class="default"><a href="group_2.html#K7" title="GROUP_2:func.7">carr</a> <font color="Maroon" title="c5">H2</font></span>)</span></span><a href="group_5.html#K7" title="GROUP_5:func.7">.]</a></span>
 
<b>by </b><i><a class="ref" href="group_5.html#T68" target="_self" title="GROUP_5:th.68">Th68</a></i>;<br/>
<b>hence </b><a NAME="E4:70"/>
<span class="p1"><a href="group_5.html#K2" title="GROUP_5:func.2">[.</a><span class="default"><font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font></span><a href="group_5.html#K2" title="GROUP_5:func.2">.]</a></span> <a href="rlvect_1.html#R1" title="RLVECT_1:pred.1">in</a> <span class="p1"><a href="group_5.html#K8" title="GROUP_5:func.8">[.</a><span class="default"><font color="Maroon" title="c4">H1</font>,<font color="Maroon" title="c5">H2</font></span><a href="group_5.html#K8" title="GROUP_5:func.8">.]</a></span>
 ;<br/>


</div>
