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<b>let </b><font color="Maroon">c<sub>4</sub></font> be   <a href="bhsp_1.html#NM1">RealUnitarySpace</a>;<br/><b>let </b><font color="Maroon">c<sub>5</sub></font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">c<sub>4</sub></font>;<br/>



<a NAME="E1:38"/><i><font color="Green">E25</font></i>: 
 <a href="complex1.html#K18">abs</a> <span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span> <a href="hidden.html#R1">=</a>  <a href="real_1.html#K1">-</a> <span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>
 
<b>by </b><i><a class="ref" href="absvalue.html#D1">ABSVALUE:def 1</a></i>;<br/>
<span class="p1"><a href="bhsp_1.html#K3" target="_self">||.</a><span class="default"><span class="p2">(<span class="default"><a href="rlvect_1.html#K5">-</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="bhsp_1.html#K3" target="_self">.||</a></span> = 
<span class="p1"><a href="bhsp_1.html#K3" target="_self">||.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="bhsp_1.html#K3" target="_self">.||</a></span>
<b>by </b><i><a class="ref" href="rlvect_1.html#T29">RLVECT_1:29</a></i>
<br/>.= 
1 <a href="real_1.html#K4">*</a> <span class="p1"><a href="bhsp_1.html#K3" target="_self">||.</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="bhsp_1.html#K3" target="_self">.||</a></span>
<b>by </b><i><a class="txt" href="bhsp_1.html#E1:38"><i><font color="Green">E25</font></i></a>, <a class="ref" href="bhsp_1.html#T33" target="_self">Th33</a></i>
;<br/>
<b>hence </b><a NAME="E3:38"/>
<span class="p1"><a href="bhsp_1.html#K3" target="_self">||.</a><span class="default"><span class="p2">(<span class="default"><a href="rlvect_1.html#K5">-</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="bhsp_1.html#K3" target="_self">.||</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="bhsp_1.html#K3" target="_self">||.</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="bhsp_1.html#K3" target="_self">.||</a></span>
 ;<br/>


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