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<b>let </b><font color="Maroon" title="c1">V</font> be   <a href="vectsp_1.html#NM7" title="VECTSP_1:NM.7">VectSp</a> of  <a href="complfld.html#K1" title="COMPLFLD:func.1">F_Complex</a> ;<br/><b>let </b><font color="Maroon" title="c2">v1</font>, <font color="Maroon" title="c3">w</font> be   <a href="vectsp_1.html#NM6" title="VECTSP_1:NM.6">Vector</a> of <font color="Maroon" title="c1">V</font>;<br/><b>let </b><font color="Maroon" title="c4">f</font> be  <a href="hermitan.html#V5" title="HERMITAN:attr.5">diagReR+0valued</a> <a href="hermitan.html#NM3" title="HERMITAN:NM.3">hermitan-Form</a> of <font color="Maroon" title="c1">V</font>;<br/>





<b>set </b><font color="Maroon" title="c5">w1</font> = <font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">w</font>,<font color="Maroon" title="c2">v1</font>;<br/>
<b>set </b><font color="Maroon" title="c6">A</font> =  <a href="hermitan.html#K4" title="HERMITAN:func.4">signnorm</a> <font color="Maroon" title="c4">f</font>,<font color="Maroon" title="c2">v1</font>;<br/>
<b>set </b><font color="Maroon" title="c7">B</font> = <span class="p1"><a href="complfld.html#K3" title="COMPLFLD:func.3">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">w</font>,<font color="Maroon" title="c2">v1</font></span>)</span></span><a href="complfld.html#K3" title="COMPLFLD:func.3">.|</a></span>;<br/>
<b>set </b><font color="Maroon" title="c8">C</font> =  <a href="hermitan.html#K4" title="HERMITAN:func.4">signnorm</a> <font color="Maroon" title="c4">f</font>,<font color="Maroon" title="c3">w</font>;<br/>
<b>consider </b><font color="Maroon" title="c9">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="complfld.html#K1" title="COMPLFLD:func.1">F_Complex</a> <b> such that </b><br/><a NAME="E2:92"/><i><font color="Green" title="E42">A1</font></i>: 
( <span class="p1"><a href="complfld.html#K3" title="COMPLFLD:func.3">|.</a><span class="default"><font color="Maroon" title="c9">a</font></span><a href="complfld.html#K3" title="COMPLFLD:func.3">.|</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 &amp;  <a href="complex1.html#K3" title="COMPLEX1:func.3">Re</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">a</font> <a href="group_1.html#K10" title="GROUP_1:func.10">*</a> <span class="p2">(<span class="default"><font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">w</font>,<font color="Maroon" title="c2">v1</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="complfld.html#K3" title="COMPLFLD:func.3">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">w</font>,<font color="Maroon" title="c2">v1</font></span>)</span></span><a href="complfld.html#K3" title="COMPLFLD:func.3">.|</a></span> &amp;  <a href="complex1.html#K4" title="COMPLEX1:func.4">Im</a> <span class="p1">(<span class="default"><font color="Maroon" title="c9">a</font> <a href="group_1.html#K10" title="GROUP_1:func.10">*</a> <span class="p2">(<span class="default"><font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">w</font>,<font color="Maroon" title="c2">v1</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0 )
 <b>by </b><i><a class="ref" href="hermitan.html#T9" target="_self" title="HERMITAN:th.9">Th9</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c10">A</font> =  <a href="hermitan.html#K4" title="HERMITAN:func.4">signnorm</a> <font color="Maroon" title="c4">f</font>,<font color="Maroon" title="c2">v1</font> as   <a href="real_1.html#NM1" title="REAL_1:NM.1">Real</a> ;<br/>
<b>assume </b><b>that </b><br/><a NAME="E4:92"/><i><font color="Green" title="E43">A2</font></i>: 
 <a href="hermitan.html#K4" title="HERMITAN:func.4">signnorm</a> <font color="Maroon" title="c4">f</font>,<font color="Maroon" title="c3">w</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0
 <b>and </b><br/><a NAME="E5:92"/><i><font color="Green" title="E44">A3</font></i>: 
<span class="p1"><a href="complfld.html#K3" title="COMPLFLD:func.3">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">w</font>,<font color="Maroon" title="c2">v1</font></span>)</span></span><a href="complfld.html#K3" title="COMPLFLD:func.3">.|</a></span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 0
 ;<br/>

<div><i><font color="Green" title="E45">A4</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="92_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:92_1"/><i><font color="Green" title="E46">A5</font></i>: 
<font color="Maroon" title="c10">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0
 ;<br/><div><i><font color="Green" title="E47">A6</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="92_1_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:92_1_1"/><i><font color="Green" title="E48">A7</font></i>: 
<span class="p1"><a href="complfld.html#K3" title="COMPLFLD:func.3">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">w</font>,<font color="Maroon" title="c2">v1</font></span>)</span></span><a href="complfld.html#K3" title="COMPLFLD:func.3">.|</a></span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> 0
 ;<br/><a NAME="E2:92_1_1"/>
0 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c10">A</font> <a href="real_1.html#K5" title="REAL_1:func.5">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">2 <a href="real_1.html#K4" title="REAL_1:func.4">*</a> <span class="p4"><a href="complfld.html#K3" title="COMPLFLD:func.3">|.</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">w</font>,<font color="Maroon" title="c2">v1</font></span>)</span></span><a href="complfld.html#K3" title="COMPLFLD:func.3">.|</a></span></span>)</span> <a href="real_1.html#K4" title="REAL_1:func.4">*</a> <span class="p3">(<span class="default"><a href="real_1.html#K1" title="REAL_1:func.1">-</a> 1</span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="hermitan.html#K4" title="HERMITAN:func.4">signnorm</a> <font color="Maroon" title="c4">f</font>,<font color="Maroon" title="c3">w</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="real_1.html#K1" title="REAL_1:func.1">-</a> 1</span>)</span> <a href="square_1.html#K5" title="SQUARE_1:func.5">^2</a> </span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="hermitan.html#E2:92"><i><font color="Green" title="E42">A1</font></i></a>, <a class="ref" href="hermitan.html#T46" target="_self" title="HERMITAN:th.46">Th46</a></i>;<br/><b>hence </b><a NAME="E3:92_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="hermitan.html#E4:92"><i><font color="Green" title="E43">A2</font></i></a>, <a class="txt" href="hermitan.html#E1:92_1"><i><font color="Green" title="E46">A5</font></i></a>, <a class="txt" href="hermitan.html#E1:92_1_1"><i><font color="Green" title="E48">A7</font></i></a>, <a class="ref" href="xreal_1.html#T134" title="XREAL_1:th.134">XREAL_1:134</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="92_1_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:92_1_2"/><i><font color="Green" title="E48">A8</font></i>: 
0 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> <span class="p1"><a href="complfld.html#K3" title="COMPLFLD:func.3">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">w</font>,<font color="Maroon" title="c2">v1</font></span>)</span></span><a href="complfld.html#K3" title="COMPLFLD:func.3">.|</a></span>
 ;<br/><a NAME="E2:92_1_2"/><i><font color="Green" title="E49">A9</font></i>: 
0 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c10">A</font> <a href="real_1.html#K5" title="REAL_1:func.5">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">2 <a href="real_1.html#K4" title="REAL_1:func.4">*</a> <span class="p4"><a href="complfld.html#K3" title="COMPLFLD:func.3">|.</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">w</font>,<font color="Maroon" title="c2">v1</font></span>)</span></span><a href="complfld.html#K3" title="COMPLFLD:func.3">.|</a></span></span>)</span> <a href="real_1.html#K4" title="REAL_1:func.4">*</a> 1</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="hermitan.html#K4" title="HERMITAN:func.4">signnorm</a> <font color="Maroon" title="c4">f</font>,<font color="Maroon" title="c3">w</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p2">(<span class="default">1 <a href="square_1.html#K5" title="SQUARE_1:func.5">^2</a> </span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="hermitan.html#E2:92"><i><font color="Green" title="E42">A1</font></i></a>, <a class="ref" href="hermitan.html#T46" target="_self" title="HERMITAN:th.46">Th46</a></i>;<br/><a NAME="E3:92_1_2"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c10">A</font> <a href="real_1.html#K5" title="REAL_1:func.5">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">2 <a href="real_1.html#K4" title="REAL_1:func.4">*</a> <span class="p4"><a href="complfld.html#K3" title="COMPLFLD:func.3">|.</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">w</font>,<font color="Maroon" title="c2">v1</font></span>)</span></span><a href="complfld.html#K3" title="COMPLFLD:func.3">.|</a></span></span>)</span> <a href="real_1.html#K4" title="REAL_1:func.4">*</a> 1</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="hermitan.html#K4" title="HERMITAN:func.4">signnorm</a> <font color="Maroon" title="c4">f</font>,<font color="Maroon" title="c3">w</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p2">(<span class="default">1 <a href="square_1.html#K5" title="SQUARE_1:func.5">^2</a> </span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="real_1.html#K1" title="REAL_1:func.1">-</a> 2</span>)</span> <a href="real_1.html#K4" title="REAL_1:func.4">*</a> <span class="p1"><a href="complfld.html#K3" title="COMPLFLD:func.3">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">w</font>,<font color="Maroon" title="c2">v1</font></span>)</span></span><a href="complfld.html#K3" title="COMPLFLD:func.3">.|</a></span>
 <b>by </b><i><a class="txt" href="hermitan.html#E4:92"><i><font color="Green" title="E43">A2</font></i></a>, <a class="txt" href="hermitan.html#E1:92_1"><i><font color="Green" title="E46">A5</font></i></a></i>;<br/><b>hence </b><a NAME="E4:92_1_2"/>
contradiction
 <b>by </b><i><a class="txt" href="hermitan.html#E1:92_1_2"><i><font color="Green" title="E48">A8</font></i></a>, <a class="txt" href="hermitan.html#E2:92_1_2"><i><font color="Green" title="E49">A9</font></i></a>, <a class="ref" href="xreal_1.html#T134" title="XREAL_1:th.134">XREAL_1:134</a></i>;<br/></div><b>end;</b></div><b>hence </b><a NAME="E4:92_1"/>
contradiction
 <b>by </b><i><a class="txt" href="hermitan.html#E5:92"><i><font color="Green" title="E44">A3</font></i></a>, <a class="txt" href="hermitan.html#E2:92_1"><i><font color="Green" title="E47">A6</font></i></a></i>;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="92_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:92_2"/><i><font color="Green" title="E46">A10</font></i>: 
<font color="Maroon" title="c10">A</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 0
 ;<br/><div><i><font color="Green" title="E47">A11</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="92_2_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:92_2_1"/><i><font color="Green" title="E48">A12</font></i>: 
<font color="Maroon" title="c10">A</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> 0
 ;<br/><a NAME="E2:92_2_1"/>
0 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c10">A</font> <a href="real_1.html#K5" title="REAL_1:func.5">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">2 <a href="real_1.html#K4" title="REAL_1:func.4">*</a> <span class="p4"><a href="complfld.html#K3" title="COMPLFLD:func.3">|.</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">w</font>,<font color="Maroon" title="c2">v1</font></span>)</span></span><a href="complfld.html#K3" title="COMPLFLD:func.3">.|</a></span></span>)</span> <a href="real_1.html#K4" title="REAL_1:func.4">*</a> 0</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="hermitan.html#K4" title="HERMITAN:func.4">signnorm</a> <font color="Maroon" title="c4">f</font>,<font color="Maroon" title="c3">w</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p2">(<span class="default">0 <a href="square_1.html#K5" title="SQUARE_1:func.5">^2</a> </span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="hermitan.html#E2:92"><i><font color="Green" title="E42">A1</font></i></a>, <a class="ref" href="hermitan.html#T46" target="_self" title="HERMITAN:th.46">Th46</a></i>;<br/><b>hence </b><a NAME="E3:92_2_1"/>
contradiction
 <b>by </b><i><a class="txt" href="hermitan.html#E1:92_2_1"><i><font color="Green" title="E48">A12</font></i></a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="92_2_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:92_2_2"/><i><font color="Green" title="E48">A13</font></i>: 
<font color="Maroon" title="c10">A</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 0
 ;<br/><span class="p1">(<span class="default"><font color="Maroon" title="c10">A</font> <a href="real_1.html#K5" title="REAL_1:func.5">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">2 <a href="real_1.html#K4" title="REAL_1:func.4">*</a> <span class="p4"><a href="complfld.html#K3" title="COMPLFLD:func.3">|.</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">w</font>,<font color="Maroon" title="c2">v1</font></span>)</span></span><a href="complfld.html#K3" title="COMPLFLD:func.3">.|</a></span></span>)</span> <a href="real_1.html#K4" title="REAL_1:func.4">*</a> <span class="p3">(<span class="default"><font color="Maroon" title="c10">A</font> <a href="real_1.html#K6" title="REAL_1:func.6">/</a> <span class="p4"><a href="complfld.html#K3" title="COMPLFLD:func.3">|.</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">w</font>,<font color="Maroon" title="c2">v1</font></span>)</span></span><a href="complfld.html#K3" title="COMPLFLD:func.3">.|</a></span></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="hermitan.html#K4" title="HERMITAN:func.4">signnorm</a> <font color="Maroon" title="c4">f</font>,<font color="Maroon" title="c3">w</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">A</font> <a href="real_1.html#K6" title="REAL_1:func.6">/</a> <span class="p4"><a href="complfld.html#K3" title="COMPLFLD:func.3">|.</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">w</font>,<font color="Maroon" title="c2">v1</font></span>)</span></span><a href="complfld.html#K3" title="COMPLFLD:func.3">.|</a></span></span>)</span> <a href="square_1.html#K5" title="SQUARE_1:func.5">^2</a> </span>)</span></span>)</span> = 
<font color="Maroon" title="c10">A</font> <a href="real_1.html#K5" title="REAL_1:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c10">A</font> <a href="real_1.html#K4" title="REAL_1:func.4">*</a> <span class="p3">(<span class="default">2 <a href="real_1.html#K4" title="REAL_1:func.4">*</a> <span class="p4"><a href="complfld.html#K3" title="COMPLFLD:func.3">|.</a><span class="default"><span class="p5">(<span class="default"><font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">w</font>,<font color="Maroon" title="c2">v1</font></span>)</span></span><a href="complfld.html#K3" title="COMPLFLD:func.3">.|</a></span></span>)</span></span>)</span> <a href="real_1.html#K6" title="REAL_1:func.6">/</a> <span class="p2"><a href="complfld.html#K3" title="COMPLFLD:func.3">|.</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">w</font>,<font color="Maroon" title="c2">v1</font></span>)</span></span><a href="complfld.html#K3" title="COMPLFLD:func.3">.|</a></span></span>)</span>
<b>by </b><i><a class="txt" href="hermitan.html#E4:92"><i><font color="Green" title="E43">A2</font></i></a>, <a class="ref" href="xcmplx_1.html#T75" title="XCMPLX_1:th.75">XCMPLX_1:75</a></i>
<br/>.= 
<font color="Maroon" title="c10">A</font> <a href="real_1.html#K5" title="REAL_1:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c10">A</font> <a href="real_1.html#K4" title="REAL_1:func.4">*</a> 2</span>)</span> <a href="real_1.html#K4" title="REAL_1:func.4">*</a> <span class="p3"><a href="complfld.html#K3" title="COMPLFLD:func.3">|.</a><span class="default"><span class="p4">(<span class="default"><font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">w</font>,<font color="Maroon" title="c2">v1</font></span>)</span></span><a href="complfld.html#K3" title="COMPLFLD:func.3">.|</a></span></span>)</span> <a href="real_1.html#K6" title="REAL_1:func.6">/</a> <span class="p2"><a href="complfld.html#K3" title="COMPLFLD:func.3">|.</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c4">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">w</font>,<font color="Maroon" title="c2">v1</font></span>)</span></span><a href="complfld.html#K3" title="COMPLFLD:func.3">.|</a></span></span>)</span>

<br/>.= 
<font color="Maroon" title="c10">A</font> <a href="real_1.html#K5" title="REAL_1:func.5">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c10">A</font> <a href="real_1.html#K3" title="REAL_1:func.3">+</a> <font color="Maroon" title="c10">A</font></span>)</span>
<b>by </b><i><a class="txt" href="hermitan.html#E5:92"><i><font color="Green" title="E44">A3</font></i></a>, <a class="ref" href="xcmplx_1.html#T90" title="XCMPLX_1:th.90">XCMPLX_1:90</a></i>
<br/>.= 
 <a href="real_1.html#K1" title="REAL_1:func.1">-</a> <font color="Maroon" title="c10">A</font>

;<br/><a NAME="E3:92_2_2"/><b>then </b>
0 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="real_1.html#K1" title="REAL_1:func.1">-</a> <font color="Maroon" title="c10">A</font>
 <b>by </b><i><a class="txt" href="hermitan.html#E2:92"><i><font color="Green" title="E42">A1</font></i></a>, <a class="ref" href="hermitan.html#T46" target="_self" title="HERMITAN:th.46">Th46</a></i>;<br/><a NAME="E4:92_2_2"/><b>then </b>
 <a href="real_1.html#K1" title="REAL_1:func.1">-</a> <span class="p1">(<span class="default"><a href="real_1.html#K1" title="REAL_1:func.1">-</a> <font color="Maroon" title="c10">A</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="real_1.html#K1" title="REAL_1:func.1">-</a> 0
 <b>by </b><i><a class="ref" href="xreal_1.html#T26" title="XREAL_1:th.26">XREAL_1:26</a></i>;<br/><b>hence </b><a NAME="E5:92_2_2"/>
contradiction
 <b>by </b><i><a class="txt" href="hermitan.html#E1:92_2_2"><i><font color="Green" title="E48">A13</font></i></a></i>;<br/></div><b>end;</b></div><b>hence </b><a NAME="E4:92_2"/>
contradiction
 <b>by </b><i><a class="txt" href="hermitan.html#E1:92_2"><i><font color="Green" title="E46">A10</font></i></a>, <a class="txt" href="hermitan.html#E2:92_2"><i><font color="Green" title="E47">A11</font></i></a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E8:92"/>
contradiction
 <b>by </b><i><a class="txt" href="hermitan.html#E6:92"><i><font color="Green" title="E45">A4</font></i></a></i>;<br/>


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