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<b>let </b><font color="Maroon">V</font> be   <a href="rlvect_1.html#NM2">RealLinearSpace</a>;<br/><b>let </b><font color="Maroon">L1</font> be    <a href="rlvect_2.html#M1" target="_self">Linear_Combination</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">L2</font> be    <a href="rlvect_2.html#M1" target="_self">Linear_Combination</a> of <font color="Maroon">V</font>;<br/>





<a NAME="E1:82"/>
(  <a href="rlvect_2.html#K9" target="_self">-</a> <font color="Maroon">L2</font> <a href="hidden.html#R2">in</a>  <a href="rlvect_2.html#K11" target="_self">LinComb</a> <font color="Maroon">V</font> &amp; the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="rlvect_2.html#K16" target="_self">LC_RLSpace</a> <font color="Maroon">V</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_2.html#K11" target="_self">LinComb</a> <font color="Maroon">V</font> )
 
<b>by </b><i><a class="txt" href="rlvect_2.html#E2:82"><i><font color="Green">E46</font></i></a></i>;<br/>
<a NAME="E2:82"/><b>then </b><i><font color="Green">E46</font></i>: 
 <a href="rlvect_2.html#K9" target="_self">-</a> <font color="Maroon">L2</font> <a href="rlvect_1.html#R1">in</a>  <a href="rlvect_2.html#K16" target="_self">LC_RLSpace</a> <font color="Maroon">V</font>
 
<b>by </b><i><a class="ref" href="rlvect_1.html#D1">RLVECT_1:def 1</a></i>;<br/>
 <a href="rlvect_1.html#K5">-</a> <span class="p1">(<span class="default"><a href="rlvect_2.html#K1" target="_self">vector</a> <span class="p2">(<span class="default"><a href="rlvect_2.html#K16" target="_self">LC_RLSpace</a> <font color="Maroon">V</font></span>)</span>,<font color="Maroon">L2</font></span>)</span> = 
 <a href="rlvect_2.html#K9" target="_self">-</a> <font color="Maroon">L2</font>
<b>by </b><i/>
<br/>.= 
 <a href="rlvect_2.html#K1" target="_self">vector</a> <span class="p1">(<span class="default"><a href="rlvect_2.html#K16" target="_self">LC_RLSpace</a> <font color="Maroon">V</font></span>)</span>,<span class="p1">(<span class="default"><a href="rlvect_2.html#K9" target="_self">-</a> <font color="Maroon">L2</font></span>)</span>
<b>by </b><i>, </i>
;<br/>
<b>hence </b><span class="p1">(<span class="default"><a href="rlvect_2.html#K1" target="_self">vector</a> <span class="p2">(<span class="default"><a href="rlvect_2.html#K16" target="_self">LC_RLSpace</a> <font color="Maroon">V</font></span>)</span>,<font color="Maroon">L1</font></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p1">(<span class="default"><a href="rlvect_2.html#K1" target="_self">vector</a> <span class="p2">(<span class="default"><a href="rlvect_2.html#K16" target="_self">LC_RLSpace</a> <font color="Maroon">V</font></span>)</span>,<font color="Maroon">L2</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="rlvect_2.html#K1" target="_self">vector</a> <span class="p2">(<span class="default"><a href="rlvect_2.html#K16" target="_self">LC_RLSpace</a> <font color="Maroon">V</font></span>)</span>,<font color="Maroon">L1</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><a href="rlvect_2.html#K1" target="_self">vector</a> <span class="p2">(<span class="default"><a href="rlvect_2.html#K16" target="_self">LC_RLSpace</a> <font color="Maroon">V</font></span>)</span>,<span class="p2">(<span class="default"><a href="rlvect_2.html#K9" target="_self">-</a> <font color="Maroon">L2</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D11">RLVECT_1:def 11</a></i>
<br/>.= 
<font color="Maroon">L1</font> <a href="rlvect_2.html#K10" target="_self">-</a> <font color="Maroon">L2</font>
<b>by </b><i><a class="ref" href="rlvect_2.html#T4" target="_self">Th4</a></i>
;<br/><br/>


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