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<b>let </b><font color="Maroon">c<sub>4</sub></font> be   <a href="csspace.html#NM1">ComplexUnitarySpace</a>;<br/><b>let </b><font color="Maroon">c<sub>5</sub></font>, <font color="Maroon">c<sub>6</sub></font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">c<sub>4</sub></font>;<br/>





<b>assume </b><a NAME="E1:64"/><i><font color="Green">E55</font></i>: 
<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font> <a href="csspace.html#R1" target="_self">are_orthogonal</a> 
 ;<br/>

<a NAME="E2:64"/><b>then </b><i><font color="Green">E56</font></i>: 
<font color="Maroon">c<sub>5</sub></font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="complex1.html#K5">0c</a> 
 
<b>by </b><i><a class="ref" href="csspace.html#D14" target="_self">Def14</a></i>;<br/>
<a NAME="E3:64"/>
<font color="Maroon">c<sub>6</sub></font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a>  <a href="complex1.html#K5">0c</a> 
 
<b>by </b><i><a class="txt" href="csspace.html#E1:64"><i><font color="Green">E55</font></i></a>, <a class="ref" href="csspace.html#D14" target="_self">Def14</a></i>;<br/>
<b>then </b><span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="csspace.html#K12" target="_self">.|.</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="complex1.html#K8">+</a> <a href="complex1.html#K5">0c</a> </span>)</span> <a href="complex1.html#K8">+</a> <a href="complex1.html#K5">0c</a> </span>)</span> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="csspace.html#E2:64"><i><font color="Green">E56</font></i></a>, <a class="ref" href="csspace.html#T33" target="_self">Th33</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="complex1.html#K8">+</a> <a href="complex1.html#K5">0c</a> </span>)</span> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="complex1.html#D6">COMPLEX1:def 6</a></i>
;<br/>
<b>hence </b><a NAME="E5:64"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="csspace.html#K12" target="_self">.|.</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="complex1.html#D6">COMPLEX1:def 6</a></i>;<br/>


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