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<b>let </b><font color="Maroon">z1</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K2">COMPLEX</a> ;<br/><b>let </b><font color="Maroon">z2</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K2">COMPLEX</a> ;<br/><b>let </b><font color="Maroon">z</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K2">COMPLEX</a> ;<br/>





<b>assume </b><a NAME="E1:31"/><i><font color="Green">E46</font></i>: 
( <font color="Maroon">z1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp;  <a href="polyeq_1.html#K3">Polynom</a> <font color="Maroon">z1</font>,<font color="Maroon">z2</font>,0,<font color="Maroon">z</font> <a href="hidden.html#R1">=</a> 0 )
 ;<br/>

<a NAME="E2:31"/><b>then </b>
0 <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">z1</font> <a href="complex1.html#K9">*</a> <font color="Maroon">z</font></span>)</span> <a href="complex1.html#K8">+</a> <font color="Maroon">z2</font></span>)</span> <a href="complex1.html#K9">*</a> <font color="Maroon">z</font>
 
;<br/>
<a NAME="E3:31"/><b>then </b>
(  <a href="polyeq_1.html#K1">Polynom</a> <font color="Maroon">z1</font>,<font color="Maroon">z2</font>,<font color="Maroon">z</font> <a href="hidden.html#R1">=</a> 0 or <font color="Maroon">z</font> <a href="hidden.html#R1">=</a> 0 )
 
<b>by </b><i><a class="ref" href="xcmplx_1.html#T6">XCMPLX_1:6</a></i>;<br/>
<b>hence </b><a NAME="E4:31"/>
( <font color="Maroon">z</font> <a href="hidden.html#R1">=</a>  <a href="complex1.html#K10">-</a> <span class="p1">(<span class="default"><font color="Maroon">z2</font> <a href="complex1.html#K13">/</a> <font color="Maroon">z1</font></span>)</span> or <font color="Maroon">z</font> <a href="hidden.html#R1">=</a> 0 )
 <b>by </b><i>, </i>;<br/>


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