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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="seq_1.html#NM1">Real_Sequence</a>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:62"/><i><font color="Green">E35</font></i>: 
<font color="Maroon">c<sub>1</sub></font> is <a href="relat_1.html#V2">being_not_0</a>
 <b>and </b><br/><a NAME="E2:62"/><i><font color="Green">E36</font></i>: 
not <font color="Maroon">c<sub>1</sub></font> <a href="seq_1.html#K18" target="_self">"</a>  is <a href="relat_1.html#V2">being_not_0</a>
 ;<br/>

<b>consider </b><font color="Maroon">c<sub>2</sub></font> being   <a href="nat_1.html#NM1">Nat</a><b> such that </b><br/><a NAME="E4:62"/><i><font color="Green">E37</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="seq_1.html#K18" target="_self">"</a> </span>)</span> <a href="seq_1.html#K2" target="_self">.</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> 0
 <b>by </b><i><a class="txt" href="seq_1.html#E2:62"><i><font color="Green">E36</font></i></a>, <a class="ref" href="seq_1.html#T7" target="_self">Th7</a></i>;<br/>
<a NAME="E5:62"/><i><font color="Green">E38</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="seq_1.html#K2" target="_self">.</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 
<b>by </b><i><a class="txt" href="seq_1.html#E1:62"><i><font color="Green">E35</font></i></a>, <a class="ref" href="seq_1.html#T7" target="_self">Th7</a></i>;<br/>
<a NAME="E6:62"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="seq_1.html#K2" target="_self">.</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="real_1.html#K2">"</a>  <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="seq_1.html#K18" target="_self">"</a> </span>)</span> <a href="seq_1.html#K2" target="_self">.</a> <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="ref" href="seq_1.html#D8" target="_self">Def8</a></i>;<br/>
<b>hence </b><a NAME="E7:62"/>
contradiction
 <b>by </b><i><a class="txt" href="seq_1.html#E4:62"><i><font color="Green">E37</font></i></a>, <a class="txt" href="seq_1.html#E5:62"><i><font color="Green">E38</font></i></a>, <a class="ref" href="xcmplx_1.html#T203">XCMPLX_1:203</a></i>;<br/>


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