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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">p</font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" target="_self">TOP-REAL</a> <font color="Maroon">n</font></span>)</span>;<br/><b>let </b><font color="Maroon">p1</font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" target="_self">TOP-REAL</a> <font color="Maroon">n</font></span>)</span>;<br/>





<b>thus </b><font color="Maroon">p</font> = 
<font color="Maroon">p</font> <a href="euclid.html#K17" 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>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">p</font> <a href="euclid.html#K17" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K20" target="_self">-</a> <font color="Maroon">p1</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="euclid.html#K17" target="_self">+</a> <font color="Maroon">p1</font></span>)</span> <a href="euclid.html#K20" target="_self">-</a> <font color="Maroon">p1</font>
<b>by </b><i/>
;<br/>

<b>hence </b><font color="Maroon">p</font> = 
<font color="Maroon">p</font> <a href="euclid.html#K17" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K20" target="_self">-</a> <font color="Maroon">p1</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">p</font> <a href="euclid.html#K17" target="_self">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="euclid.html#K19" target="_self">-</a> <font color="Maroon">p1</font></span>)</span> <a href="euclid.html#K17" target="_self">+</a> <font color="Maroon">p1</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="euclid.html#K17" target="_self">+</a> <span class="p2">(<span class="default"><a href="euclid.html#K19" target="_self">-</a> <font color="Maroon">p1</font></span>)</span></span>)</span> <a href="euclid.html#K17" target="_self">+</a> <font color="Maroon">p1</font>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">p</font> <a href="euclid.html#K20" target="_self">-</a> <font color="Maroon">p1</font></span>)</span> <a href="euclid.html#K17" target="_self">+</a> <font color="Maroon">p1</font>
<b>by </b><i/>
;<br/><br/>


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