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<b>let </b><font color="Maroon">x1</font> be    <a href="finseq_2.html#M2">Element</a> of  <a href="euclid.html#K1">REAL</a> <font color="Maroon">n</font>, <font color="Maroon">x2</font> be    <a href="finseq_2.html#M2">Element</a> of  <a href="euclid.html#K1">REAL</a> <font color="Maroon">n</font>;<br/>

<b>assume </b><a NAME="E1:36_1_1"/><i><font color="Green">E59</font></i>: 
<font color="Maroon">x1</font> <a href="euclidlp.html#R1" target="_self">//</a> <font color="Maroon">x2</font>
 ;<br/>

<a NAME="E2:36_1_1"/><b>then </b><i><font color="Green">E66</font></i>: 
( <font color="Maroon">x1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="euclid.html#K5">0*</a> <font color="Maroon">n</font> &amp; <font color="Maroon">x2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="euclid.html#K5">0*</a> <font color="Maroon">n</font> )
 
<b>by </b><i/>;<br/>
<b>consider </b><font color="Maroon">a</font> being   <a href="real_1.html#NM1">Real</a><b> such that </b><br/><a NAME="E4:36_1_1"/><i><font color="Green">E88</font></i>: 
( <font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp; <font color="Maroon">x1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="euclid.html#K9">*</a> <font color="Maroon">x2</font> )
 <b>by </b><i>, </i>;<br/>
<i><font color="Green">E89</font></i>: <span class="p1">(<span class="default">1 <a href="real_1.html#K6">/</a> <font color="Maroon">a</font></span>)</span> <a href="euclid.html#K9">*</a> <font color="Maroon">x1</font> = 
<span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="real_1.html#K6">/</a> <font color="Maroon">a</font></span>)</span> <a href="euclid.html#K9">*</a> <font color="Maroon">x2</font>
<b>by </b><i>, </i>
<br/>.= 
1 <a href="euclid.html#K9">*</a> <font color="Maroon">x2</font>
<b>by </b><i>, <a class="ref" href="xcmplx_1.html#T60">XCMPLX_1:60</a></i>
<br/>.= 
<font color="Maroon">x2</font>
<b>by </b><i><a class="ref" href="euclid_4.html#T3">EUCLID_4:3</a></i>
;<br/>
<b>thus </b><a NAME="E6:36_1_1"/>
<font color="Maroon">x2</font> <a href="euclidlp.html#R1" target="_self">//</a> <font color="Maroon">x1</font>
 <b>by </b><i>, , </i>;<br/>


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