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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="real_1.html#NM1">Real</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="rlvect_1.html#NM2">RealLinearSpace</a>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">c<sub>2</sub></font>;<br/>







<b>assume </b><b>that </b><br/><a NAME="E1:50"/><i><font color="Green">E32</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 <b>and </b><br/><a NAME="E2:50"/><i><font color="Green">E33</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="rlvect_1.html#K3" target="_self">*</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> <a href="rlvect_1.html#K3" target="_self">*</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/>

 <a href="rlvect_1.html#K1" target="_self">0.</a> <font color="Maroon">c<sub>2</sub></font> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="rlvect_1.html#K3" target="_self">*</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="rlvect_1.html#K6" target="_self">-</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="rlvect_1.html#K3" target="_self">*</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="rlvect_1.html#E2:50"><i><font color="Green">E33</font></i></a>, <a class="ref" href="rlvect_1.html#T28" target="_self">Th28</a></i>
<br/>.= 
<font color="Maroon">c<sub>1</sub></font> <a href="rlvect_1.html#K3" target="_self">*</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="rlvect_1.html#K6" target="_self">-</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#T48" target="_self">Th48</a></i>
;<br/>
<a NAME="E4:50"/><b>then </b>
<font color="Maroon">c<sub>3</sub></font> <a href="rlvect_1.html#K6" target="_self">-</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1" target="_self">0.</a> <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="txt" href="rlvect_1.html#E1:50"><i><font color="Green">E32</font></i></a>, <a class="ref" href="rlvect_1.html#T24" target="_self">Th24</a></i>;<br/>
<b>hence </b><a NAME="E5:50"/>
<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="rlvect_1.html#T35" target="_self">Th35</a></i>;<br/>


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