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<b>let </b><font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font> be    <a href="finseq_2.html#M2">Element</a> of  <a href="euclid.html#K1">REAL</a> <font color="Maroon">c<sub>1</sub></font>;<br/>

<b>assume </b><a NAME="E1:36_1_1"/><i><font color="Green">E38</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="euclidlp.html#R1" target="_self">//</a> <font color="Maroon">c<sub>5</sub></font>
 ;<br/>

<a NAME="E2:36_1_1"/><b>then </b><i><font color="Green">E39</font></i>: 
( <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="euclid.html#K5">0*</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="euclid.html#K5">0*</a> <font color="Maroon">c<sub>1</sub></font> )
 
<b>by </b><i><a class="ref" href="euclidlp.html#D1" target="_self">Def1</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>6</sub></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">E40</font></i>: 
( <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp; <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>6</sub></font> <a href="euclid.html#K9">*</a> <font color="Maroon">c<sub>5</sub></font> )
 <b>by </b><i><a class="txt" href="euclidlp.html#E1:36_1_1"><i><font color="Green">E38</font></i></a>, <a class="ref" href="euclidlp.html#T37" target="_self">Th37</a></i>;<br/>
<i><font color="Green">E41</font></i>: <span class="p1">(<span class="default">1 <a href="real_1.html#K6">/</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="euclid.html#K9">*</a> <font color="Maroon">c<sub>4</sub></font> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="real_1.html#K6">/</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="euclid.html#K9">*</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="ref" href="euclidlp.html#T1" target="_self">Th1</a>, <a class="txt" href="euclidlp.html#E4:36_1_1"><i><font color="Green">E40</font></i></a></i>
<br/>.= 
1 <a href="euclid.html#K9">*</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="txt" href="euclidlp.html#E4:36_1_1"><i><font color="Green">E40</font></i></a>, <a class="ref" href="xcmplx_1.html#T60">XCMPLX_1:60</a></i>
<br/>.= 
<font color="Maroon">c<sub>5</sub></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">c<sub>5</sub></font> <a href="euclidlp.html#R1" target="_self">//</a> <font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="txt" href="euclidlp.html#E5:36_1_1"><i><font color="Green">E41</font></i></a>, <a class="txt" href="euclidlp.html#E2:36_1_1"><i><font color="Green">E39</font></i></a>, <a class="ref" href="euclidlp.html#D1" target="_self">Def1</a></i>;<br/>


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