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<b>let </b><font color="Maroon">V</font> be   <a href="clvect_1.html#NM2">ComplexLinearSpace</a>;<br/><b>let </b><font color="Maroon">v</font> be   <a href="clvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">z1</font> be   <a href="cfunct_1.html#NM1">Complex</a>;<br/><b>let </b><font color="Maroon">z2</font> be   <a href="cfunct_1.html#NM1">Complex</a>;<br/>







<b>assume </b><b>that </b><br/><a NAME="E1:21"/><i><font color="Green">E28</font></i>: 
<font color="Maroon">v</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font>
 <b>and </b><br/><a NAME="E2:21"/><i><font color="Green">E31</font></i>: 
<font color="Maroon">z1</font> <a href="clvect_1.html#K1" target="_self">*</a> <font color="Maroon">v</font> <a href="hidden.html#R1">=</a> <font color="Maroon">z2</font> <a href="clvect_1.html#K1" target="_self">*</a> <font color="Maroon">v</font>
 ;<br/>

 <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font> = 
<span class="p1">(<span class="default"><font color="Maroon">z1</font> <a href="clvect_1.html#K1" target="_self">*</a> <font color="Maroon">v</font></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p1">(<span class="default"><font color="Maroon">z2</font> <a href="clvect_1.html#K1" target="_self">*</a> <font color="Maroon">v</font></span>)</span>
<b>by </b><i>, <a class="ref" href="rlvect_1.html#T28">RLVECT_1:28</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">z1</font> <a href="complex1.html#K11">-</a> <font color="Maroon">z2</font></span>)</span> <a href="clvect_1.html#K1" target="_self">*</a> <font color="Maroon">v</font>
<b>by </b><i/>
;<br/>
<a NAME="E4:21"/><b>then </b>
<span class="p1">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">z2</font></span>)</span> <a href="complex1.html#K8">+</a> <font color="Maroon">z1</font> <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i>, </i>;<br/>
<a NAME="E5:21"/><b>then </b>
<font color="Maroon">z1</font> <a href="hidden.html#R1">=</a>  <a href="complex1.html#K10">-</a> <span class="p1">(<span class="default"><a href="complex1.html#K10">-</a> <font color="Maroon">z2</font></span>)</span>
 
;<br/>
<b>hence </b><a NAME="E6:21"/>
<font color="Maroon">z1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">z2</font>
 ;<br/>


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