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<b>set </b><font color="Maroon">V</font> =  <a href="vectsp10.html#K1" target="_self">StructVectSp</a> <font color="Maroon">K</font>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="3_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be   <a href="vectsp_1.html#NM5">Vector</a> of <span class="p1">(<span class="default"><a href="vectsp10.html#K1" target="_self">StructVectSp</a> <font color="Maroon">K</font></span>)</span>, <font color="Maroon">y</font> be   <a href="vectsp_1.html#NM5">Vector</a> of <span class="p1">(<span class="default"><a href="vectsp10.html#K1" target="_self">StructVectSp</a> <font color="Maroon">K</font></span>)</span>;<br/><b>reconsider </b><font color="Maroon">x'</font> = <font color="Maroon">x</font>, <font color="Maroon">y'</font> = <font color="Maroon">y</font> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">K</font> ;<br/><b>thus </b><font color="Maroon">x</font> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">y</font> = 
the <a href="rlvect_1.html#U1">add</a> of <span class="p1">(<span class="default"><a href="vectsp10.html#K1" target="_self">StructVectSp</a> <font color="Maroon">K</font></span>)</span> <a href="binop_1.html#K2">.</a> <font color="Maroon">x</font>,<font color="Maroon">y</font>

<br/>.= 
<font color="Maroon">y'</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">x'</font>
<b>by </b><i><a class="ref" href="rlvect_1.html#T5">RLVECT_1:5</a></i>
<br/>.= 
<font color="Maroon">y</font> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">x</font>

;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:3_1_1"/>
 <a href="vectsp10.html#K1" target="_self">StructVectSp</a> <font color="Maroon">K</font> is <a href="rlvect_1.html#V3">Abelian</a>
 <b>by </b><i><a class="ref" href="rlvect_1.html#D5">RLVECT_1:def 5</a></i>;<br/>


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