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<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>, <font color="Maroon">p2</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>assume </b><b>that </b><br/><a NAME="E1:47_1_2"/><i><font color="Green">E35</font></i>: 
for <font color="Olive">p'</font> being   <a href="finseq_2.html#M2">Element</a> of  <a href="euclid.html#K1" target="_self">REAL</a> <font color="Maroon">n</font>  st <font color="Olive">p'</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p</font> holds <br/><font color="Maroon">p1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font> <a href="euclid.html#K9" target="_self">*</a> <font color="Olive">p'</font>
 <b>and </b><br/><a NAME="E2:47_1_2"/><i><font color="Green">E37</font></i>: 
for <font color="Olive">p'</font> being   <a href="finseq_2.html#M2">Element</a> of  <a href="euclid.html#K1" target="_self">REAL</a> <font color="Maroon">n</font>  st <font color="Olive">p'</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p</font> holds <br/><font color="Maroon">p2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font> <a href="euclid.html#K9" target="_self">*</a> <font color="Olive">p'</font>
 ;<br/>

<b>reconsider </b><font color="Maroon">p'</font> = <font color="Maroon">p</font> as    <a href="finseq_2.html#M2">Element</a> of  <a href="euclid.html#K1" target="_self">REAL</a> <font color="Maroon">n</font> ;<br/>
<b>thus </b><font color="Maroon">p1</font> = 
<font color="Maroon">x</font> <a href="euclid.html#K9" target="_self">*</a> <font color="Maroon">p'</font>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">p2</font>
<b>by </b><i/>
;<br/>


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