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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">h</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">G</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="group_2.html#D6">GROUP_2:def 6</a><br/>





<i><font color="Green">E38</font></i>: <span class="p1">(<span class="default"><font color="Maroon">h</font> <a href="group_3.html#K2" target="_self">|^</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="group_1.html#K3">"</a> </span>)</span></span>)</span> <a href="group_3.html#K2" target="_self">|^</a> <font color="Maroon">a</font> = 
<font color="Maroon">h</font> <a href="group_3.html#K2" target="_self">|^</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="group_1.html#K3">"</a> </span>)</span> <a href="group_1.html#K1">*</a> <font color="Maroon">a</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">h</font> <a href="group_3.html#K2" target="_self">|^</a> <span class="p1">(<span class="default"><a href="group_1.html#K2">1.</a> <font color="Maroon">G</font></span>)</span>
<b>by </b><i><a class="ref" href="group_1.html#D6">GROUP_1:def 6</a></i>
<br/>.= 
<font color="Maroon">h</font>
<b>by </b><i/>
;<br/>
<a NAME="E2:67"/>
<font color="Maroon">h</font> <a href="group_3.html#K2" target="_self">|^</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="group_1.html#K3">"</a> </span>)</span> <a href="rlvect_1.html#R1">in</a>  <a href="group_1.html#G1">HGrStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">G</font>,the <a href="group_1.html#U1">mult</a> of <font color="Maroon">G</font> #)
 
<b>by </b><i><a class="ref" href="rlvect_1.html#D1">RLVECT_1:def 1</a></i>;<br/>
<b>hence </b><a NAME="E3:67"/>
( <font color="Maroon">h</font> <a href="rlvect_1.html#R1">in</a> <span class="p1">(<span class="default"><a href="group_2.html#K6">(Omega).</a> <font color="Maroon">G</font></span>)</span> <a href="group_3.html#K6" target="_self">|^</a> <font color="Maroon">a</font> iff <font color="Maroon">h</font> <a href="rlvect_1.html#R1">in</a>  <a href="group_2.html#K6">(Omega).</a> <font color="Maroon">G</font> )
 <b>by </b><i>, <a class="ref" href="group_3.html#T4" target="_self">Th4</a>, <a class="ref" href="rlvect_1.html#D1">RLVECT_1:def 1</a></i>;<br/>


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