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

<b>let </b><font color="Maroon">G</font> be   <a href="group_1.html#NM1">Group</a>;<br/><b>let </b><font color="Maroon">H1</font> be    <a href="group_2.html#M1" target="_self">Subgroup</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">H2</font> be    <a href="group_2.html#M1" target="_self">Subgroup</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">H3</font> be    <a href="group_2.html#M1" target="_self">Subgroup</a> of <font color="Maroon">G</font>;<br/>







<b>assume </b><a NAME="E1:91"/><i><font color="Green">E35</font></i>: 
( <font color="Maroon">H1</font> is    <a href="group_2.html#M1" target="_self">Subgroup</a> of <font color="Maroon">H2</font> &amp; <font color="Maroon">H1</font> is    <a href="group_2.html#M1" target="_self">Subgroup</a> of <font color="Maroon">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">g</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font>;<br/><b>assume </b><a NAME="E1:91_1"/>
<font color="Maroon">g</font> <a href="rlvect_1.html#R1">in</a> <font color="Maroon">H1</font>
 ;<br/><a NAME="E2:91_1"/><b>then </b>
( <font color="Maroon">g</font> <a href="rlvect_1.html#R1">in</a> <font color="Maroon">H2</font> &amp; <font color="Maroon">g</font> <a href="rlvect_1.html#R1">in</a> <font color="Maroon">H3</font> )
 <b>by </b><i><a class="ref" href="group_2.html#T26" target="_self">Th26</a>, </i>;<br/><b>hence </b><a NAME="E3:91_1"/>
<font color="Maroon">g</font> <a href="rlvect_1.html#R1">in</a> <font color="Maroon">H2</font> <a href="group_2.html#K9" target="_self">/\</a> <font color="Maroon">H3</font>
 <b>by </b><i/>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:91"/>
<font color="Maroon">H1</font> is    <a href="group_2.html#M1" target="_self">Subgroup</a> of <font color="Maroon">H2</font> <a href="group_2.html#K9" target="_self">/\</a> <font color="Maroon">H3</font>
 <b>by </b><i/>;<br/>


</div>
