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<b>let </b><font color="Maroon">R</font> be   <a href="funcsdom.html#NM1">Ring</a>;<br/><b>let </b><font color="Maroon">V</font> be   <a href="vectsp_2.html#NM7">RightMod</a> of <font color="Maroon">R</font>;<br/><b>let </b><font color="Maroon">L1</font> be    <a href="rmod_4.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="rmod_4.html#M1" target="_self">Linear_Combination</a> of <font color="Maroon">V</font>;<br/>







<b>assume </b><a NAME="E1:62"/><i><font color="Green">E48</font></i>: 
<font color="Maroon">L1</font> <a href="rmod_4.html#K6" target="_self">+</a> <font color="Maroon">L2</font> <a href="rmod_4.html#R1" target="_self">=</a>  <a href="rmod_4.html#K3" target="_self">ZeroLC</a> <font color="Maroon">V</font>
 ;<br/>

<b>let </b><font color="Maroon">v</font> be   <a href="vectsp_2.html#NM5">Vector</a> of <font color="Maroon">V</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="rmod_4.html#D10" target="_self">RMOD_4:def 10</a><br/>

<span class="p1">(<span class="default"><font color="Maroon">L1</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">L2</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="rmod_4.html#K3" target="_self">ZeroLC</a> <font color="Maroon">V</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font>
<b>by </b><i>, </i>
<br/>.= 
 <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">R</font>
<b>by </b><i/>
;<br/>
<b>hence </b><font color="Maroon">L2</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font> = 
 <a href="rlvect_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">L1</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#T19">RLVECT_1:19</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="rmod_4.html#K8" target="_self">-</a> <font color="Maroon">L1</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font>
<b>by </b><i/>
;<br/><br/>


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