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<b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">z1</font> be    <a href="finseq_2.html#M2">Element</a> of  <a href="complsp1.html#K8" target="_self">COMPLEX</a> <font color="Maroon">n</font>;<br/><b>let </b><font color="Maroon">z</font> be    <a href="finseq_2.html#M2">Element</a> of  <a href="complsp1.html#K8" target="_self">COMPLEX</a> <font color="Maroon">n</font>;<br/><b>let </b><font color="Maroon">z2</font> be    <a href="finseq_2.html#M2">Element</a> of  <a href="complsp1.html#K8" target="_self">COMPLEX</a> <font color="Maroon">n</font>;<br/>







<b>assume </b><a NAME="E1:26"/>
<font color="Maroon">z1</font> <a href="complsp1.html#K9" target="_self">+</a> <font color="Maroon">z</font> <a href="hidden.html#R1">=</a> <font color="Maroon">z2</font> <a href="complsp1.html#K9" target="_self">+</a> <font color="Maroon">z</font>
 ;<br/>

<a NAME="E2:26"/><b>then </b>
<font color="Maroon">z1</font> <a href="complsp1.html#K9" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="complsp1.html#K9" target="_self">+</a> <span class="p2">(<span class="default"><a href="complsp1.html#K12" target="_self">-</a> <font color="Maroon">z</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">z2</font> <a href="complsp1.html#K9" target="_self">+</a> <font color="Maroon">z</font></span>)</span> <a href="complsp1.html#K9" target="_self">+</a> <span class="p1">(<span class="default"><a href="complsp1.html#K12" target="_self">-</a> <font color="Maroon">z</font></span>)</span>
 
<b>by </b><i/>;<br/>
<a NAME="E3:26"/><b>then </b>
( <font color="Maroon">z1</font> <a href="complsp1.html#K9" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="complsp1.html#K9" target="_self">+</a> <span class="p2">(<span class="default"><a href="complsp1.html#K12" target="_self">-</a> <font color="Maroon">z</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">z2</font> <a href="complsp1.html#K9" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="complsp1.html#K9" target="_self">+</a> <span class="p2">(<span class="default"><a href="complsp1.html#K12" target="_self">-</a> <font color="Maroon">z</font></span>)</span></span>)</span> &amp; <font color="Maroon">z</font> <a href="complsp1.html#K9" target="_self">+</a> <span class="p1">(<span class="default"><a href="complsp1.html#K12" target="_self">-</a> <font color="Maroon">z</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="complsp1.html#K11" target="_self">0c</a> <font color="Maroon">n</font> )
 
<b>by </b><i>, </i>;<br/>
<a NAME="E4:26"/><b>then </b>
<font color="Maroon">z1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">z2</font> <a href="complsp1.html#K9" target="_self">+</a> <span class="p1">(<span class="default"><a href="complsp1.html#K11" target="_self">0c</a> <font color="Maroon">n</font></span>)</span>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E5:26"/>
<font color="Maroon">z1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">z2</font>
 <b>by </b><i/>;<br/>


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