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<b>let </b><font color="Maroon">z1</font> be   <a href="cfunct_1.html#NM1">Complex</a>;<br/><b>let </b><font color="Maroon">z2</font> be   <a href="cfunct_1.html#NM1">Complex</a>;<br/><b>let </b><font color="Maroon">CNS</font> be   <a href="clvect_1.html#NM5">ComplexNormSpace</a>;<br/><b>let </b><font color="Maroon">x</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">CNS</font>;<br/><b>let </b><font color="Maroon">y</font> be   <a href="pre_topc.html#NM2">Point</a> of <font color="Maroon">CNS</font>;<br/>









<a NAME="E1:130"/>
<span class="p1"><a href="clvect_1.html#K5" target="_self">||.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">z1</font> <a href="clvect_1.html#K1" target="_self">*</a> <font color="Maroon">x</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p3">(<span class="default"><font color="Maroon">z2</font> <a href="clvect_1.html#K1" target="_self">*</a> <font color="Maroon">y</font></span>)</span></span>)</span></span><a href="clvect_1.html#K5" target="_self">.||</a></span> <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1"><a href="clvect_1.html#K5" target="_self">||.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">z1</font> <a href="clvect_1.html#K1" target="_self">*</a> <font color="Maroon">x</font></span>)</span></span><a href="clvect_1.html#K5" target="_self">.||</a></span> <a href="real_1.html#K3">+</a> <span class="p1"><a href="clvect_1.html#K5" target="_self">||.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">z2</font> <a href="clvect_1.html#K1" target="_self">*</a> <font color="Maroon">y</font></span>)</span></span><a href="clvect_1.html#K5" target="_self">.||</a></span>
 
<b>by </b><i/>;<br/>
<a NAME="E2:130"/><b>then </b>
<span class="p1"><a href="clvect_1.html#K5" target="_self">||.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">z1</font> <a href="clvect_1.html#K1" target="_self">*</a> <font color="Maroon">x</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p3">(<span class="default"><font color="Maroon">z2</font> <a href="clvect_1.html#K1" target="_self">*</a> <font color="Maroon">y</font></span>)</span></span>)</span></span><a href="clvect_1.html#K5" target="_self">.||</a></span> <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1">(<span class="default"><span class="p2"><a href="complex1.html#K17">|.</a><span class="default"><font color="Maroon">z1</font></span><a href="complex1.html#K17">.|</a></span> <a href="real_1.html#K4">*</a> <span class="p2"><a href="clvect_1.html#K5" target="_self">||.</a><span class="default"><font color="Maroon">x</font></span><a href="clvect_1.html#K5" target="_self">.||</a></span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p1"><a href="clvect_1.html#K5" target="_self">||.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">z2</font> <a href="clvect_1.html#K1" target="_self">*</a> <font color="Maroon">y</font></span>)</span></span><a href="clvect_1.html#K5" target="_self">.||</a></span>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:130"/>
<span class="p1"><a href="clvect_1.html#K5" target="_self">||.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">z1</font> <a href="clvect_1.html#K1" target="_self">*</a> <font color="Maroon">x</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p3">(<span class="default"><font color="Maroon">z2</font> <a href="clvect_1.html#K1" target="_self">*</a> <font color="Maroon">y</font></span>)</span></span>)</span></span><a href="clvect_1.html#K5" target="_self">.||</a></span> <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1">(<span class="default"><span class="p2"><a href="complex1.html#K17">|.</a><span class="default"><font color="Maroon">z1</font></span><a href="complex1.html#K17">.|</a></span> <a href="real_1.html#K4">*</a> <span class="p2"><a href="clvect_1.html#K5" target="_self">||.</a><span class="default"><font color="Maroon">x</font></span><a href="clvect_1.html#K5" target="_self">.||</a></span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p1">(<span class="default"><span class="p2"><a href="complex1.html#K17">|.</a><span class="default"><font color="Maroon">z2</font></span><a href="complex1.html#K17">.|</a></span> <a href="real_1.html#K4">*</a> <span class="p2"><a href="clvect_1.html#K5" target="_self">||.</a><span class="default"><font color="Maroon">y</font></span><a href="clvect_1.html#K5" target="_self">.||</a></span></span>)</span>
 <b>by </b><i/>;<br/>


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