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<b>let </b><font color="Maroon" title="c1">seq</font> be   <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:62"/><i><font color="Green" title="E34">A1</font></i>: 
<font color="Maroon" title="c1">seq</font> is <a href="relat_1.html#V2" title="RELAT_1:attr.2">being_not_0</a>
 <b>and </b><br/><a NAME="E2:62"/><i><font color="Green" title="E35">A2</font></i>: 
not <font color="Maroon" title="c1">seq</font> <a href="seq_1.html#K18" title="SEQ_1:func.18">"</a>  is <a href="relat_1.html#V2" title="RELAT_1:attr.2">being_not_0</a>
 ;<br/>

<b>consider </b><font color="Maroon" title="c2">n1</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <b> such that </b><br/><a NAME="E4:62"/><i><font color="Green" title="E36">A3</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c1">seq</font> <a href="seq_1.html#K18" title="SEQ_1:func.18">"</a> </span>)</span> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <font color="Maroon" title="c2">n1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0
 <b>by </b><i><a class="txt" href="seq_1.html#E2:62"><i><font color="Green" title="E35">A2</font></i></a>, <a class="ref" href="seq_1.html#T7" target="_self" title="SEQ_1:th.7">Th7</a></i>;<br/>
<a NAME="E5:62"/><i><font color="Green" title="E37">A4</font></i>: 
<font color="Maroon" title="c1">seq</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <font color="Maroon" title="c2">n1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> 0
 
<b>by </b><i><a class="txt" href="seq_1.html#E1:62"><i><font color="Green" title="E34">A1</font></i></a>, <a class="ref" href="seq_1.html#T7" target="_self" title="SEQ_1:th.7">Th7</a></i>;<br/>
<a NAME="E6:62"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c1">seq</font> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <font color="Maroon" title="c2">n1</font></span>)</span> <a href="real_1.html#K2" title="REAL_1:func.2">"</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">seq</font> <a href="seq_1.html#K18" title="SEQ_1:func.18">"</a> </span>)</span> <a href="seq_1.html#K2" title="SEQ_1:func.2">.</a> <font color="Maroon" title="c2">n1</font>
 
<b>by </b><i><a class="ref" href="seq_1.html#D8" target="_self" title="SEQ_1:def.8">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" title="E36">A3</font></i></a>, <a class="txt" href="seq_1.html#E5:62"><i><font color="Green" title="E37">A4</font></i></a>, <a class="ref" href="xcmplx_1.html#T203" title="XCMPLX_1:th.203">XCMPLX_1:203</a></i>;<br/>


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