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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">a</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">b</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">H1</font> be    <a href="group_2.html#M1">Subgroup</a> of <font color="Maroon">G</font>;<br/><b>let </b><font color="Maroon">H2</font> be    <a href="group_2.html#M1">Subgroup</a> of <font color="Maroon">G</font>;<br/>









<b>assume </b><a NAME="E1:70"/>
( <font color="Maroon">a</font> <a href="rlvect_1.html#R1">in</a> <font color="Maroon">H1</font> &amp; <font color="Maroon">b</font> <a href="rlvect_1.html#R1">in</a> <font color="Maroon">H2</font> )
 ;<br/>

<a NAME="E2:70"/><b>then </b>
( <font color="Maroon">a</font> <a href="hidden.html#R2">in</a>  <a href="group_2.html#K7">carr</a> <font color="Maroon">H1</font> &amp; <font color="Maroon">b</font> <a href="hidden.html#R2">in</a>  <a href="group_2.html#K7">carr</a> <font color="Maroon">H2</font> )
 
<b>by </b><i><a class="ref" href="rlvect_1.html#D1">RLVECT_1:def 1</a></i>;<br/>
<a NAME="E3:70"/><b>then </b>
<span class="p1"><a href="group_5.html#K2" target="_self">[.</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">b</font></span><a href="group_5.html#K2" target="_self">.]</a></span> <a href="rlvect_1.html#R1">in</a> <span class="p1"><a href="group_5.html#K7" target="_self">[.</a><span class="default"><span class="p2">(<span class="default"><a href="group_2.html#K7">carr</a> <font color="Maroon">H1</font></span>)</span>,<span class="p2">(<span class="default"><a href="group_2.html#K7">carr</a> <font color="Maroon">H2</font></span>)</span></span><a href="group_5.html#K7" target="_self">.]</a></span>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:70"/>
<span class="p1"><a href="group_5.html#K2" target="_self">[.</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">b</font></span><a href="group_5.html#K2" target="_self">.]</a></span> <a href="rlvect_1.html#R1">in</a> <span class="p1"><a href="group_5.html#K8" target="_self">[.</a><span class="default"><font color="Maroon">H1</font>,<font color="Maroon">H2</font></span><a href="group_5.html#K8" target="_self">.]</a></span>
 ;<br/>


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