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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="vectsp_1.html#NM6">VectSp</a> of  <a href="complfld.html#K1">F_Complex</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be  <a href="hermitan.html#V4" target="_self">diagRvalued</a> <a href="hermitan.html#V5" target="_self">diagReR+0valued</a> <a href="bilinear.html#NM1">Form</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>





<b>assume </b><a NAME="E1:110"/><i><font color="Green">E57</font></i>: 
 <a href="complex1.html#K3">Re</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="binop_1.html#K2">.</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="hidden.html#R1">=</a> 0
 ;<br/>

<a NAME="E2:110"/><i><font color="Green">E58</font></i>: 
 <a href="complex1.html#K4">Im</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="binop_1.html#K2">.</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i><a class="ref" href="hermitan.html#D6" target="_self">Def6</a></i>;<br/>
 <a href="rlvect_1.html#K1">0.</a> <a href="complfld.html#K1">F_Complex</a>  = 
 <a href="complex1.html#K5">0c</a> 
<b>by </b><i><a class="ref" href="complfld.html#T9">COMPLFLD:9</a></i>
<br/>.= 
0

;<br/>
<b>hence </b><a NAME="E4:110"/>
<font color="Maroon">c<sub>2</sub></font> <a href="binop_1.html#K2">.</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <a href="complfld.html#K1">F_Complex</a> 
 <b>by </b><i><a class="txt" href="hermitan.html#E1:110"><i><font color="Green">E57</font></i></a>, <a class="txt" href="hermitan.html#E2:110"><i><font color="Green">E58</font></i></a>, <a class="ref" href="comptrig.html#T9">COMPTRIG:9</a>, <a class="txt" href="hermitan.html#E1"><i><font color="Green">Lemma1</font></i></a></i>;<br/>


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