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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be    <a href="finseq_2.html#M2">Element</a> of  <a href="euclid.html#K1" target="_self">REAL</a> <font color="Maroon">c<sub>1</sub></font>;<br/>





<b>assume </b><a NAME="E1:30"/>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/>

<a NAME="E2:30"/><b>then </b>
( <span class="p1"><a href="euclid.html#K12" target="_self">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="euclid.html#K8" target="_self">-</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span><a href="euclid.html#K12" target="_self">.|</a></span> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0 &amp; 0 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <span class="p1"><a href="euclid.html#K12" target="_self">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="euclid.html#K8" target="_self">-</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span><a href="euclid.html#K12" target="_self">.|</a></span> )
 
<b>by </b><i><a class="ref" href="euclid.html#T12" target="_self">Th12</a>, <a class="ref" href="euclid.html#T19" target="_self">Th19</a></i>;<br/>
<b>hence </b><a NAME="E3:30"/>
<span class="p1"><a href="euclid.html#K12" target="_self">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="euclid.html#K8" target="_self">-</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span><a href="euclid.html#K12" target="_self">.|</a></span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 ;<br/>


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