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<b>take </b>
<font color="Maroon">c<sub>2</sub></font>
;<br/>

<b>take </b>
 <a href="complex1.html#K5">0c</a> 
; <i><font color="Red">:: according to </font></i><a class="ref" href="comseq_2.html#D4">COMSEQ_2:def 4</a>,<a class="ref" href="comseq_3.html#D10" target="_self">COMSEQ_3:def 10</a><br/>

<b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="real_1.html#NM1">Real</a>;<br/>

<b>assume </b><a NAME="E1:67_1_1"/><i><font color="Green">E43</font></i>: 
0 <a href="xxreal_0.html#R1">&lt;</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/>

<b>take </b>
0
;<br/>

<b>let </b><font color="Maroon">c<sub>4</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>

<b>assume </b><a NAME="E2:67_1_1"/>
0 <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/>

<b>thus </b><a NAME="E3:67_1_1"/>
<span class="p1"><a href="complex1.html#K17">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="comseq_3.html#K7" target="_self">Partial_Sums</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="comseq_1.html#K1">.</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="complex1.html#K11">-</a> <a href="complex1.html#K5">0c</a> </span>)</span></span><a href="complex1.html#K17">.|</a></span> <a href="xxreal_0.html#R1">&lt;</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="comseq_3.html#E67"><i><font color="Green">Lemma42</font></i></a>, <a class="txt" href="comseq_3.html#E1:67_1_1"><i><font color="Green">E43</font></i></a>, <a class="ref" href="comseq_3.html#T24" target="_self">Th24</a>, <a class="ref" href="complex1.html#T130">COMPLEX1:130</a></i>;<br/>


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