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<b>let </b><font color="Maroon">c<sub>2</sub></font> be   <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>assume </b><a NAME="E1:126_1_1"/><i><font color="Green">E66</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> is <a href="hermitan.html#V6" target="_self">positivediagvalued</a> &amp; <font color="Maroon">c<sub>2</sub></font> is <a href="bilinear.html#V2">additiveSAF</a> )
 ;<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>; <i><font color="Red">:: according to </font></i><a class="ref" href="hermitan.html#D7" target="_self">HERMITAN:def 7</a><br/>

<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:126_1_1_1"/>
( <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>1</sub></font> or <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>1</sub></font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1_1"><b>suppose </b></a><a NAME="E1:126_1_1_1_1"/>
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>1</sub></font>
 ;<br/><div class="add"><a NAME="E2:126_1_1_1_1"/><b>then </b><i><font color="Green">E67</font></i>: 
<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#E1:126_1_1"><i><font color="Green">E66</font></i></a>, <a class="ref" href="bilinear.html#T31">BILINEAR:31</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/><a NAME="E4:126_1_1_1_1"/><b>then </b>
<span class="p1"><a href="hahnban1.html#K1">[**</a><span class="default"><span class="p2">(<span class="default"><a href="complex1.html#K3">Re</a> <span class="p3">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <a href="complfld.html#K1">F_Complex</a> </span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="complex1.html#K4">Im</a> <span class="p3">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <a href="complfld.html#K1">F_Complex</a> </span>)</span></span>)</span></span><a href="hahnban1.html#K1">**]</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="hahnban1.html#K1">[**</a><span class="default">0,0</span><a href="hahnban1.html#K1">**]</a></span>
 <b>by </b><i><a class="ref" href="comptrig.html#T9">COMPTRIG:9</a></i>;<br/><b>hence </b><a NAME="E5:126_1_1_1_1"/>
0 <a href="xxreal_0.html#R1">&lt;=</a>  <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>
 <b>by </b><i><a class="txt" href="hermitan.html#E2:126_1_1_1_1"><i><font color="Green">E67</font></i></a>, <a class="ref" href="comptrig.html#T8">COMPTRIG:8</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="126_1_1_1_2"><b>suppose </b></a><a NAME="E1:126_1_1_1_2"/>
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">c<sub>1</sub></font>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:126_1_1_1_2"/>
0 <a href="xxreal_0.html#R1">&lt;=</a>  <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>
 <b>by </b><i><a class="txt" href="hermitan.html#E1:126_1_1"><i><font color="Green">E66</font></i></a>, <a class="ref" href="hermitan.html#D13" target="_self">Def13</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

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