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

<b>let </b><font color="Maroon">X</font> be   <a href="csspace.html#NM1">ComplexUnitarySpace</a>;<br/><b>let </b><font color="Maroon">p</font> be   <a href="cfunct_1.html#NM1">Complex</a>, <font color="Maroon">q</font> be   <a href="cfunct_1.html#NM1">Complex</a>;<br/><b>let </b><font color="Maroon">x</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">X</font>, <font color="Maroon">y</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">X</font>;<br/>





<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">x</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p2">(<span class="default"><font color="Maroon">q</font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">y</font></span>)</span></span>)</span> <a href="csspace.html#K12" target="_self">.|.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">x</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p2">(<span class="default"><font color="Maroon">q</font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">y</font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="complex1.html#K9">*</a> <span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="csspace.html#K12" target="_self">.|.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p</font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">x</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p4">(<span class="default"><font color="Maroon">q</font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">y</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><font color="Maroon">q</font> <a href="complex1.html#K9">*</a> <span class="p2">(<span class="default"><font color="Maroon">y</font> <a href="csspace.html#K12" target="_self">.|.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p</font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">x</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p4">(<span class="default"><font color="Maroon">q</font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">y</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="complex1.html#K9">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p</font> <a href="complex1.html#K15">*'</a> </span>)</span> <a href="complex1.html#K9">*</a> <span class="p4">(<span class="default"><font color="Maroon">x</font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">x</font></span>)</span></span>)</span> <a href="complex1.html#K8">+</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">q</font> <a href="complex1.html#K15">*'</a> </span>)</span> <a href="complex1.html#K9">*</a> <span class="p4">(<span class="default"><font color="Maroon">x</font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">y</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><font color="Maroon">q</font> <a href="complex1.html#K9">*</a> <span class="p2">(<span class="default"><font color="Maroon">y</font> <a href="csspace.html#K12" target="_self">.|.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p</font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">x</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p4">(<span class="default"><font color="Maroon">q</font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">y</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="csspace.html#D2" target="_self">Def2</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="complex1.html#K9">*</a> <span class="p4">(<span class="default"><font color="Maroon">p</font> <a href="complex1.html#K15">*'</a> </span>)</span></span>)</span> <a href="complex1.html#K9">*</a> <span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">x</font></span>)</span></span>)</span> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="complex1.html#K9">*</a> <span class="p4">(<span class="default"><font color="Maroon">q</font> <a href="complex1.html#K15">*'</a> </span>)</span></span>)</span> <a href="complex1.html#K9">*</a> <span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">y</font></span>)</span></span>)</span></span>)</span> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><font color="Maroon">q</font> <a href="complex1.html#K9">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p</font> <a href="complex1.html#K15">*'</a> </span>)</span> <a href="complex1.html#K9">*</a> <span class="p4">(<span class="default"><font color="Maroon">y</font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">x</font></span>)</span></span>)</span> <a href="complex1.html#K8">+</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">q</font> <a href="complex1.html#K15">*'</a> </span>)</span> <a href="complex1.html#K9">*</a> <span class="p4">(<span class="default"><font color="Maroon">y</font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">y</font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="csspace.html#D2" target="_self">Def2</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="complex1.html#K9">*</a> <span class="p4">(<span class="default"><font color="Maroon">p</font> <a href="complex1.html#K15">*'</a> </span>)</span></span>)</span> <a href="complex1.html#K9">*</a> <span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">x</font></span>)</span></span>)</span> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="complex1.html#K9">*</a> <span class="p4">(<span class="default"><font color="Maroon">q</font> <a href="complex1.html#K15">*'</a> </span>)</span></span>)</span> <a href="complex1.html#K9">*</a> <span class="p3">(<span class="default"><font color="Maroon">x</font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">y</font></span>)</span></span>)</span></span>)</span> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">q</font> <a href="complex1.html#K9">*</a> <span class="p4">(<span class="default"><font color="Maroon">p</font> <a href="complex1.html#K15">*'</a> </span>)</span></span>)</span> <a href="complex1.html#K9">*</a> <span class="p3">(<span class="default"><font color="Maroon">y</font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">x</font></span>)</span></span>)</span> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">q</font> <a href="complex1.html#K9">*</a> <span class="p4">(<span class="default"><font color="Maroon">q</font> <a href="complex1.html#K15">*'</a> </span>)</span></span>)</span> <a href="complex1.html#K9">*</a> <span class="p3">(<span class="default"><font color="Maroon">y</font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">y</font></span>)</span></span>)</span></span>)</span>

;<br/>
<b>hence </b><a NAME="E2:56"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">x</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p2">(<span class="default"><font color="Maroon">q</font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">y</font></span>)</span></span>)</span> <a href="csspace.html#K12" target="_self">.|.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">x</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p2">(<span class="default"><font color="Maroon">q</font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">y</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p</font> <a href="complex1.html#K9">*</a> <span class="p5">(<span class="default"><font color="Maroon">p</font> <a href="complex1.html#K15">*'</a> </span>)</span></span>)</span> <a href="complex1.html#K9">*</a> <span class="p4">(<span class="default"><font color="Maroon">x</font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">x</font></span>)</span></span>)</span> <a href="complex1.html#K8">+</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p</font> <a href="complex1.html#K9">*</a> <span class="p5">(<span class="default"><font color="Maroon">q</font> <a href="complex1.html#K15">*'</a> </span>)</span></span>)</span> <a href="complex1.html#K9">*</a> <span class="p4">(<span class="default"><font color="Maroon">x</font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">y</font></span>)</span></span>)</span></span>)</span> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p</font> <a href="complex1.html#K15">*'</a> </span>)</span> <a href="complex1.html#K9">*</a> <font color="Maroon">q</font></span>)</span> <a href="complex1.html#K9">*</a> <span class="p3">(<span class="default"><font color="Maroon">y</font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">x</font></span>)</span></span>)</span></span>)</span> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">q</font> <a href="complex1.html#K9">*</a> <span class="p3">(<span class="default"><font color="Maroon">q</font> <a href="complex1.html#K15">*'</a> </span>)</span></span>)</span> <a href="complex1.html#K9">*</a> <span class="p2">(<span class="default"><font color="Maroon">y</font> <a href="csspace.html#K12" target="_self">.|.</a> <font color="Maroon">y</font></span>)</span></span>)</span>
 ;<br/>


</div>
