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<b>let </b><font color="Maroon" title="c1">n</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/><b>let </b><font color="Maroon" title="c2">z1</font>, <font color="Maroon" title="c3">z</font>, <font color="Maroon" title="c4">z2</font> be    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of  <a href="complsp1.html#K8" title="COMPLSP1:func.8">COMPLEX</a> <font color="Maroon" title="c1">n</font>;<br/>







<b>assume </b><a NAME="E1:26"/>
<font color="Maroon" title="c2">z1</font> <a href="complsp1.html#K9" title="COMPLSP1:func.9">+</a> <font color="Maroon" title="c3">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">z2</font> <a href="complsp1.html#K9" title="COMPLSP1:func.9">+</a> <font color="Maroon" title="c3">z</font>
 ;<br/>

<a NAME="E2:26"/><b>then </b>
<font color="Maroon" title="c2">z1</font> <a href="complsp1.html#K9" title="COMPLSP1:func.9">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">z</font> <a href="complsp1.html#K9" title="COMPLSP1:func.9">+</a> <span class="p2">(<span class="default"><a href="complsp1.html#K12" title="COMPLSP1:func.12">-</a> <font color="Maroon" title="c3">z</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">z2</font> <a href="complsp1.html#K9" title="COMPLSP1:func.9">+</a> <font color="Maroon" title="c3">z</font></span>)</span> <a href="complsp1.html#K9" title="COMPLSP1:func.9">+</a> <span class="p1">(<span class="default"><a href="complsp1.html#K12" title="COMPLSP1:func.12">-</a> <font color="Maroon" title="c3">z</font></span>)</span>
 
<b>by </b><i><a class="txt" href="complsp1.html#E45"><i><font color="Green" title="E19">Lm9</font></i></a></i>;<br/>
<a NAME="E3:26"/><b>then </b>
( <font color="Maroon" title="c2">z1</font> <a href="complsp1.html#K9" title="COMPLSP1:func.9">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">z</font> <a href="complsp1.html#K9" title="COMPLSP1:func.9">+</a> <span class="p2">(<span class="default"><a href="complsp1.html#K12" title="COMPLSP1:func.12">-</a> <font color="Maroon" title="c3">z</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">z2</font> <a href="complsp1.html#K9" title="COMPLSP1:func.9">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">z</font> <a href="complsp1.html#K9" title="COMPLSP1:func.9">+</a> <span class="p2">(<span class="default"><a href="complsp1.html#K12" title="COMPLSP1:func.12">-</a> <font color="Maroon" title="c3">z</font></span>)</span></span>)</span> &amp; <font color="Maroon" title="c3">z</font> <a href="complsp1.html#K9" title="COMPLSP1:func.9">+</a> <span class="p1">(<span class="default"><a href="complsp1.html#K12" title="COMPLSP1:func.12">-</a> <font color="Maroon" title="c3">z</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="complsp1.html#K11" title="COMPLSP1:func.11">0c</a> <font color="Maroon" title="c1">n</font> )
 
<b>by </b><i><a class="txt" href="complsp1.html#E53"><i><font color="Green" title="E23">Lm11</font></i></a>, <a class="txt" href="complsp1.html#E45"><i><font color="Green" title="E19">Lm9</font></i></a></i>;<br/>
<a NAME="E4:26"/><b>then </b>
<font color="Maroon" title="c2">z1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">z2</font> <a href="complsp1.html#K9" title="COMPLSP1:func.9">+</a> <span class="p1">(<span class="default"><a href="complsp1.html#K11" title="COMPLSP1:func.11">0c</a> <font color="Maroon" title="c1">n</font></span>)</span>
 
<b>by </b><i><a class="txt" href="complsp1.html#E47"><i><font color="Green" title="E20">Lm10</font></i></a></i>;<br/>
<b>hence </b><a NAME="E5:26"/>
<font color="Maroon" title="c2">z1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">z2</font>
 <b>by </b><i><a class="txt" href="complsp1.html#E47"><i><font color="Green" title="E20">Lm10</font></i></a></i>;<br/>


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