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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="midsp_1.html#NM1">MidSp</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font> be    <a href="midsp_1.html#M1" target="_self">Vector</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>







<b>assume </b><a NAME="E1:59"/><i><font color="Green">E44</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="midsp_1.html#K11" target="_self">+</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="midsp_1.html#K11" target="_self">+</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/>

<b>consider </b><font color="Maroon">c<sub>5</sub></font> being    <a href="midsp_1.html#M1" target="_self">Vector</a> of <font color="Maroon">c<sub>1</sub></font><b> such that </b><br/><a NAME="E3:59"/><i><font color="Green">E45</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="midsp_1.html#K11" target="_self">+</a> <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a>  <a href="midsp_1.html#K10" target="_self">ID</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="ref" href="midsp_1.html#T65" target="_self">Th65</a></i>;<br/>
<font color="Maroon">c<sub>3</sub></font> = 
<font color="Maroon">c<sub>3</sub></font> <a href="midsp_1.html#K11" target="_self">+</a> <span class="p1">(<span class="default"><a href="midsp_1.html#K10" target="_self">ID</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="midsp_1.html#T64" target="_self">Th64</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="midsp_1.html#K11" target="_self">+</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="midsp_1.html#K11" target="_self">+</a> <font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="txt" href="midsp_1.html#E3:59"><i><font color="Green">E45</font></i></a>, <a class="ref" href="midsp_1.html#T66" target="_self">Th66</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="midsp_1.html#K11" target="_self">+</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="midsp_1.html#K11" target="_self">+</a> <font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="ref" href="midsp_1.html#T66" target="_self">Th66</a></i>
<br/>.= 
<font color="Maroon">c<sub>5</sub></font> <a href="midsp_1.html#K11" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="midsp_1.html#K11" target="_self">+</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="midsp_1.html#E1:59"><i><font color="Green">E44</font></i></a>, <a class="ref" href="midsp_1.html#T63" target="_self">Th63</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="midsp_1.html#K11" target="_self">+</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="midsp_1.html#K11" target="_self">+</a> <font color="Maroon">c<sub>4</sub></font>
<b>by </b><i><a class="ref" href="midsp_1.html#T63" target="_self">Th63</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="midsp_1.html#K10" target="_self">ID</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="midsp_1.html#K11" target="_self">+</a> <font color="Maroon">c<sub>4</sub></font>
<b>by </b><i><a class="txt" href="midsp_1.html#E3:59"><i><font color="Green">E45</font></i></a>, <a class="ref" href="midsp_1.html#T66" target="_self">Th66</a></i>
<br/>.= 
<font color="Maroon">c<sub>4</sub></font> <a href="midsp_1.html#K11" target="_self">+</a> <span class="p1">(<span class="default"><a href="midsp_1.html#K10" target="_self">ID</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="midsp_1.html#T66" target="_self">Th66</a></i>
;<br/>
<b>hence </b><a NAME="E5:59"/>
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="ref" href="midsp_1.html#T64" target="_self">Th64</a></i>;<br/>


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