<?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">H1</font>, <font color="Maroon" title="c3">H2</font>, <font color="Maroon" title="c4">H3</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="E1:91"/><i><font color="Green" title="E62">A1</font></i>: 
( <font color="Maroon" title="c2">H1</font> is    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Maroon" title="c3">H2</font> &amp; <font color="Maroon" title="c2">H1</font> is    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Maroon" title="c4">H3</font> )
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="91_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c5">g</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>assume </b><a NAME="E1:91_1"/>
<font color="Maroon" title="c5">g</font> <a href="rlvect_1.html#R1" title="RLVECT_1:pred.1">in</a> <font color="Maroon" title="c2">H1</font>
 ;<br/><a NAME="E2:91_1"/><b>then </b>
( <font color="Maroon" title="c5">g</font> <a href="rlvect_1.html#R1" title="RLVECT_1:pred.1">in</a> <font color="Maroon" title="c3">H2</font> &amp; <font color="Maroon" title="c5">g</font> <a href="rlvect_1.html#R1" title="RLVECT_1:pred.1">in</a> <font color="Maroon" title="c4">H3</font> )
 <b>by </b><i><a class="txt" href="group_2.html#E1:91"><i><font color="Green" title="E62">A1</font></i></a>, <a class="ref" href="group_2.html#T49" target="_self" title="GROUP_2:th.49">Th49</a></i>;<br/><b>hence </b><a NAME="E3:91_1"/>
<font color="Maroon" title="c5">g</font> <a href="rlvect_1.html#R1" title="RLVECT_1:pred.1">in</a> <font color="Maroon" title="c3">H2</font> <a href="group_2.html#K9" title="GROUP_2:func.9">/\</a> <font color="Maroon" title="c4">H3</font>
 <b>by </b><i><a class="ref" href="group_2.html#T99" target="_self" title="GROUP_2:th.99">Th99</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:91"/>
<font color="Maroon" title="c2">H1</font> is    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Maroon" title="c3">H2</font> <a href="group_2.html#K9" title="GROUP_2:func.9">/\</a> <font color="Maroon" title="c4">H3</font>
 <b>by </b><i><a class="ref" href="group_2.html#T67" target="_self" title="GROUP_2:th.67">Th67</a></i>;<br/>


</div>
