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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">x</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/>



<span class="p1"><a href="euclid.html#K12" target="_self">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="euclid.html#K9" target="_self">*</a> <span class="p3">(<span class="default"><a href="euclid.html#K5" target="_self">0*</a> <font color="Maroon">n</font></span>)</span></span>)</span></span><a href="euclid.html#K12" target="_self">.|</a></span> = 
<span class="p1">(<span class="default"><a href="complex1.html#K18">abs</a> <font color="Maroon">x</font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p1"><a href="euclid.html#K12" target="_self">|.</a><span class="default"><span class="p2">(<span class="default"><a href="euclid.html#K5" target="_self">0*</a> <font color="Maroon">n</font></span>)</span></span><a href="euclid.html#K12" target="_self">.|</a></span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><a href="complex1.html#K18">abs</a> <font color="Maroon">x</font></span>)</span> <a href="real_1.html#K4">*</a> 0
<b>by </b><i/>
<br/>.= 
0

;<br/>
<a NAME="E2:48"/><b>then </b>
<font color="Maroon">x</font> <a href="euclid.html#K9" target="_self">*</a> <span class="p1">(<span class="default"><a href="euclid.html#K5" target="_self">0*</a> <font color="Maroon">n</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="euclid.html#K5" target="_self">0*</a> <font color="Maroon">n</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:48"/>
<font color="Maroon">x</font> <a href="euclid.html#K18" target="_self">*</a> <span class="p1">(<span class="default"><a href="euclid.html#K16" target="_self">0.REAL</a> <font color="Maroon">n</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="euclid.html#K16" target="_self">0.REAL</a> <font color="Maroon">n</font>
 <b>by </b><i/>;<br/>


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