<?xml version="1.0"?>
<div class="add">

<b>set </b><font color="Maroon">c<sub>1</sub></font> =  <a href="complfld.html#K1">F_Complex</a> ;<br/>
<b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</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>4</sub></font> be   <a href="hermitan.html#NM2">sesquilinear-Form</a> of <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>;<br/>



<b>set </b><font color="Maroon">c<sub>5</sub></font> =  <a href="bilinear.html#K15">LKer</a> <font color="Maroon">c<sub>4</sub></font>;<br/>
<b>set </b><font color="Maroon">c<sub>6</sub></font> =  <a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p1">(<span class="default"><a href="bilinear.html#K15">LKer</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>;<br/>
<b>set </b><font color="Maroon">c<sub>7</sub></font> =  <a href="bilinear.html#K16">RKer</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span>;<br/>
<b>set </b><font color="Maroon">c<sub>8</sub></font> =  <a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>3</sub></font>,<span class="p1">(<span class="default"><a href="bilinear.html#K16">RKer</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">c<sub>9</sub></font> =  <a href="bilinear.html#K16">RKer</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="bilinear.html#K17">LQForm</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span>;<br/>
<b>set </b><font color="Maroon">c<sub>10</sub></font> =  <a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>3</sub></font>,<span class="p1">(<span class="default"><a href="bilinear.html#K16">RKer</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="bilinear.html#K17">LQForm</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">c<sub>11</sub></font> =  <a href="bilinear.html#K15">LKer</a> <span class="p1">(<span class="default"><a href="hermitan.html#K7" target="_self">RQ*Form</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>;<br/>
<b>set </b><font color="Maroon">c<sub>12</sub></font> =  <a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p1">(<span class="default"><a href="bilinear.html#K15">LKer</a> <span class="p2">(<span class="default"><a href="hermitan.html#K7" target="_self">RQ*Form</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>;<br/>
<a NAME="E1:121"/><i><font color="Green">E64</font></i>: 
 <a href="relset_1.html#K4">dom</a> <span class="p1">(<span class="default"><a href="hermitan.html#K8" target="_self">Q*Form</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <span class="p2">(<span class="default"><a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p3">(<span class="default"><a href="bilinear.html#K15">LKer</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,the <a href="struct_0.html#U1">carrier</a> of <span class="p2">(<span class="default"><a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>3</sub></font>,<span class="p3">(<span class="default"><a href="bilinear.html#K16">RKer</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span></span>)</span></span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span>
 
<b>by </b><i><a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>;<br/>
<a NAME="E2:121"/><i><font color="Green">E65</font></i>: 
 <a href="relset_1.html#K4">dom</a> <span class="p1">(<span class="default"><a href="hermitan.html#K7" target="_self">RQ*Form</a> <span class="p2">(<span class="default"><a href="bilinear.html#K17">LQForm</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <span class="p2">(<span class="default"><a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p3">(<span class="default"><a href="bilinear.html#K15">LKer</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,the <a href="struct_0.html#U1">carrier</a> of <span class="p2">(<span class="default"><a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>3</sub></font>,<span class="p3">(<span class="default"><a href="bilinear.html#K16">RKer</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="bilinear.html#K17">LQForm</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span></span>)</span></span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span>
 
<b>by </b><i><a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>;<br/>
<a NAME="E3:121"/><i><font color="Green">E66</font></i>: 
 <a href="relset_1.html#K4">dom</a> <span class="p1">(<span class="default"><a href="bilinear.html#K17">LQForm</a> <span class="p2">(<span class="default"><a href="hermitan.html#K7" target="_self">RQ*Form</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <span class="p2">(<span class="default"><a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p3">(<span class="default"><a href="bilinear.html#K15">LKer</a> <span class="p4">(<span class="default"><a href="hermitan.html#K7" target="_self">RQ*Form</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span>,the <a href="struct_0.html#U1">carrier</a> of <span class="p2">(<span class="default"><a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>3</sub></font>,<span class="p3">(<span class="default"><a href="bilinear.html#K16">RKer</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span></span>)</span></span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span>
 
<b>by </b><i><a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>;<br/>
<a NAME="E4:121"/><i><font color="Green">E67</font></i>: 
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>3</sub></font>,<span class="p2">(<span class="default"><a href="bilinear.html#K16">RKer</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="bilinear.html#K17">LQForm</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>3</sub></font>,<span class="p2">(<span class="default"><a href="bilinear.html#K16">RKer</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="hermitan.html#T64" target="_self">Th64</a></i>;<br/>
<a NAME="E5:121"/><i><font color="Green">E68</font></i>: 
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p2">(<span class="default"><a href="bilinear.html#K15">LKer</a> <span class="p3">(<span class="default"><a href="hermitan.html#K7" target="_self">RQ*Form</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p2">(<span class="default"><a href="bilinear.html#K15">LKer</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="hermitan.html#T65" target="_self">Th65</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="121_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>13</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:121_1"/>
<font color="Maroon">c<sub>13</sub></font> <a href="hidden.html#R2">in</a>  <a href="relset_1.html#K4">dom</a> <span class="p1">(<span class="default"><a href="hermitan.html#K8" target="_self">Q*Form</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
 ;<br/><b>then consider </b><font color="Maroon">c<sub>14</sub></font>, <font color="Maroon">c<sub>15</sub></font> being    <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E3:121_1"/><i><font color="Green">E69</font></i>: 
( <font color="Maroon">c<sub>14</sub></font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p2">(<span class="default"><a href="bilinear.html#K15">LKer</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> &amp; <font color="Maroon">c<sub>15</sub></font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>3</sub></font>,<span class="p2">(<span class="default"><a href="bilinear.html#K16">RKer</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span></span>)</span></span>)</span> &amp; <font color="Maroon">c<sub>13</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>14</sub></font>,<font color="Maroon">c<sub>15</sub></font></span><a href="tarski.html#K4">]</a></span> )
 <b>by </b><i><a class="ref" href="zfmisc_1.html#D2">ZFMISC_1:def 2</a></i>;<br/><b>reconsider </b><font color="Maroon">c<sub>16</sub></font> = <font color="Maroon">c<sub>14</sub></font> as   <a href="vectsp_1.html#NM5">Vector</a> of <span class="p1">(<span class="default"><a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p2">(<span class="default"><a href="bilinear.html#K15">LKer</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <b>by </b><i><a class="txt" href="hermitan.html#E3:121_1"><i><font color="Green">E69</font></i></a></i>;<br/><b>reconsider </b><font color="Maroon">c<sub>17</sub></font> = <font color="Maroon">c<sub>15</sub></font> as   <a href="vectsp_1.html#NM5">Vector</a> of <span class="p1">(<span class="default"><a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>3</sub></font>,<span class="p2">(<span class="default"><a href="bilinear.html#K16">RKer</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span></span>)</span></span>)</span> <b>by </b><i><a class="txt" href="hermitan.html#E3:121_1"><i><font color="Green">E69</font></i></a></i>;<br/><b>consider </b><font color="Maroon">c<sub>18</sub></font> being   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">c<sub>2</sub></font><b> such that </b><br/><a NAME="E7:121_1"/><i><font color="Green">E70</font></i>: 
<font color="Maroon">c<sub>16</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>18</sub></font> <a href="vectsp_4.html#K3">+</a> <span class="p1">(<span class="default"><a href="bilinear.html#K15">LKer</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="vectsp10.html#T23">VECTSP10:23</a></i>;<br/><b>consider </b><font color="Maroon">c<sub>19</sub></font> being   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">c<sub>3</sub></font><b> such that </b><br/><a NAME="E9:121_1"/><i><font color="Green">E71</font></i>: 
<font color="Maroon">c<sub>17</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>19</sub></font> <a href="vectsp_4.html#K3">+</a> <span class="p1">(<span class="default"><a href="bilinear.html#K16">RKer</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="vectsp10.html#T23">VECTSP10:23</a></i>;<br/><a NAME="E10:121_1"/><i><font color="Green">E72</font></i>: 
 <a href="bilinear.html#K16">RKer</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="bilinear.html#K16">RKer</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="bilinear.html#K17">LQForm</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span>
 <b>by </b><i><a class="ref" href="hermitan.html#T64" target="_self">Th64</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="hermitan.html#K8" target="_self">Q*Form</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>13</sub></font> = 
<span class="p1">(<span class="default"><a href="hermitan.html#K8" target="_self">Q*Form</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binop_1.html#K2">.</a> <font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>17</sub></font>
<b>by </b><i><a class="txt" href="hermitan.html#E3:121_1"><i><font color="Green">E69</font></i></a></i>
<br/>.= 
<font color="Maroon">c<sub>4</sub></font> <a href="binop_1.html#K2">.</a> <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>19</sub></font>
<b>by </b><i><a class="txt" href="hermitan.html#E7:121_1"><i><font color="Green">E70</font></i></a>, <a class="txt" href="hermitan.html#E9:121_1"><i><font color="Green">E71</font></i></a>, <a class="ref" href="hermitan.html#D12" target="_self">Def12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="bilinear.html#K17">LQForm</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binop_1.html#K2">.</a> <font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>19</sub></font>
<b>by </b><i><a class="txt" href="hermitan.html#E7:121_1"><i><font color="Green">E70</font></i></a>, <a class="ref" href="bilinear.html#D21">BILINEAR:def 21</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="hermitan.html#K7" target="_self">RQ*Form</a> <span class="p2">(<span class="default"><a href="bilinear.html#K17">LQForm</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="binop_1.html#K1">.</a> <font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>17</sub></font>
<b>by </b><i><a class="txt" href="hermitan.html#E9:121_1"><i><font color="Green">E71</font></i></a>, <a class="txt" href="hermitan.html#E10:121_1"><i><font color="Green">E72</font></i></a>, <a class="ref" href="hermitan.html#T62" target="_self">Th62</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="hermitan.html#K7" target="_self">RQ*Form</a> <span class="p2">(<span class="default"><a href="bilinear.html#K17">LQForm</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>13</sub></font>
<b>by </b><i><a class="txt" href="hermitan.html#E3:121_1"><i><font color="Green">E69</font></i></a></i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E7:121"/>
 <a href="hermitan.html#K8" target="_self">Q*Form</a> <font color="Maroon">c<sub>4</sub></font> <a href="funct_2.html#R1">=</a>  <a href="hermitan.html#K7" target="_self">RQ*Form</a> <span class="p1">(<span class="default"><a href="bilinear.html#K17">LQForm</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
 <b>by </b><i><a class="txt" href="hermitan.html#E1:121"><i><font color="Green">E64</font></i></a>, <a class="txt" href="hermitan.html#E2:121"><i><font color="Green">E65</font></i></a>, <a class="txt" href="hermitan.html#E4:121"><i><font color="Green">E67</font></i></a>, <a class="ref" href="funct_1.html#T9">FUNCT_1:9</a></i>;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="121_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>13</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:121_2"/>
<font color="Maroon">c<sub>13</sub></font> <a href="hidden.html#R2">in</a>  <a href="relset_1.html#K4">dom</a> <span class="p1">(<span class="default"><a href="hermitan.html#K8" target="_self">Q*Form</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
 ;<br/><b>then consider </b><font color="Maroon">c<sub>14</sub></font>, <font color="Maroon">c<sub>15</sub></font> being    <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E3:121_2"/><i><font color="Green">E69</font></i>: 
( <font color="Maroon">c<sub>14</sub></font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p2">(<span class="default"><a href="bilinear.html#K15">LKer</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> &amp; <font color="Maroon">c<sub>15</sub></font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>3</sub></font>,<span class="p2">(<span class="default"><a href="bilinear.html#K16">RKer</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span></span>)</span></span>)</span> &amp; <font color="Maroon">c<sub>13</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>14</sub></font>,<font color="Maroon">c<sub>15</sub></font></span><a href="tarski.html#K4">]</a></span> )
 <b>by </b><i><a class="ref" href="zfmisc_1.html#D2">ZFMISC_1:def 2</a></i>;<br/><b>reconsider </b><font color="Maroon">c<sub>16</sub></font> = <font color="Maroon">c<sub>14</sub></font> as   <a href="vectsp_1.html#NM5">Vector</a> of <span class="p1">(<span class="default"><a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p2">(<span class="default"><a href="bilinear.html#K15">LKer</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <b>by </b><i><a class="txt" href="hermitan.html#E3:121_2"><i><font color="Green">E69</font></i></a></i>;<br/><b>reconsider </b><font color="Maroon">c<sub>17</sub></font> = <font color="Maroon">c<sub>15</sub></font> as   <a href="vectsp_1.html#NM5">Vector</a> of <span class="p1">(<span class="default"><a href="vectsp10.html#K6">VectQuot</a> <font color="Maroon">c<sub>3</sub></font>,<span class="p2">(<span class="default"><a href="bilinear.html#K16">RKer</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span></span>)</span></span>)</span> <b>by </b><i><a class="txt" href="hermitan.html#E3:121_2"><i><font color="Green">E69</font></i></a></i>;<br/><b>consider </b><font color="Maroon">c<sub>18</sub></font> being   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">c<sub>2</sub></font><b> such that </b><br/><a NAME="E7:121_2"/><i><font color="Green">E70</font></i>: 
<font color="Maroon">c<sub>16</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>18</sub></font> <a href="vectsp_4.html#K3">+</a> <span class="p1">(<span class="default"><a href="bilinear.html#K15">LKer</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="vectsp10.html#T23">VECTSP10:23</a></i>;<br/><b>consider </b><font color="Maroon">c<sub>19</sub></font> being   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">c<sub>3</sub></font><b> such that </b><br/><a NAME="E9:121_2"/><i><font color="Green">E71</font></i>: 
<font color="Maroon">c<sub>17</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>19</sub></font> <a href="vectsp_4.html#K3">+</a> <span class="p1">(<span class="default"><a href="bilinear.html#K16">RKer</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="vectsp10.html#T23">VECTSP10:23</a></i>;<br/><a NAME="E10:121_2"/><i><font color="Green">E72</font></i>: 
 <a href="bilinear.html#K15">LKer</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="bilinear.html#K15">LKer</a> <span class="p1">(<span class="default"><a href="hermitan.html#K7" target="_self">RQ*Form</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="hermitan.html#T65" target="_self">Th65</a></i>;<br/><b>thus </b><span class="p1">(<span class="default"><a href="hermitan.html#K8" target="_self">Q*Form</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>13</sub></font> = 
<span class="p1">(<span class="default"><a href="hermitan.html#K8" target="_self">Q*Form</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binop_1.html#K2">.</a> <font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>17</sub></font>
<b>by </b><i><a class="txt" href="hermitan.html#E3:121_2"><i><font color="Green">E69</font></i></a></i>
<br/>.= 
<font color="Maroon">c<sub>4</sub></font> <a href="binop_1.html#K2">.</a> <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>19</sub></font>
<b>by </b><i><a class="txt" href="hermitan.html#E7:121_2"><i><font color="Green">E70</font></i></a>, <a class="txt" href="hermitan.html#E9:121_2"><i><font color="Green">E71</font></i></a>, <a class="ref" href="hermitan.html#D12" target="_self">Def12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="hermitan.html#K7" target="_self">RQ*Form</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binop_1.html#K2">.</a> <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>17</sub></font>
<b>by </b><i><a class="txt" href="hermitan.html#E9:121_2"><i><font color="Green">E71</font></i></a>, <a class="ref" href="hermitan.html#T62" target="_self">Th62</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="bilinear.html#K17">LQForm</a> <span class="p2">(<span class="default"><a href="hermitan.html#K7" target="_self">RQ*Form</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="binop_1.html#K1">.</a> <font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>17</sub></font>
<b>by </b><i><a class="txt" href="hermitan.html#E7:121_2"><i><font color="Green">E70</font></i></a>, <a class="txt" href="hermitan.html#E10:121_2"><i><font color="Green">E72</font></i></a>, <a class="ref" href="bilinear.html#D21">BILINEAR:def 21</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="bilinear.html#K17">LQForm</a> <span class="p2">(<span class="default"><a href="hermitan.html#K7" target="_self">RQ*Form</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>13</sub></font>
<b>by </b><i><a class="txt" href="hermitan.html#E3:121_2"><i><font color="Green">E69</font></i></a></i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E9:121"/>
 <a href="hermitan.html#K8" target="_self">Q*Form</a> <font color="Maroon">c<sub>4</sub></font> <a href="funct_2.html#R1">=</a>  <a href="bilinear.html#K17">LQForm</a> <span class="p1">(<span class="default"><a href="hermitan.html#K7" target="_self">RQ*Form</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
 <b>by </b><i><a class="txt" href="hermitan.html#E1:121"><i><font color="Green">E64</font></i></a>, <a class="txt" href="hermitan.html#E3:121"><i><font color="Green">E66</font></i></a>, <a class="txt" href="hermitan.html#E5:121"><i><font color="Green">E68</font></i></a>, <a class="ref" href="funct_1.html#T9">FUNCT_1:9</a></i>;<br/>


</div>
