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<b>consider </b><font color="Maroon">c<sub>3</sub></font> being   <a href="prepower.html#NM1">Rational_Sequence</a><b> such that </b><br/><a NAME="E2:94_1_1"/><i><font color="Green">E76</font></i>: 
( <font color="Maroon">c<sub>3</sub></font> is <a href="seq_2.html#V4">convergent</a> &amp;  <a href="seq_2.html#K2">lim</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> &amp; ( for <font color="Olive">b<sub>1</sub></font> being  <a href="nat_1.html#NM1">Nat</a> holds <font color="Maroon">c<sub>3</sub></font> <a href="prepower.html#K10" target="_self">.</a> <font color="Olive">b<sub>1</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">c<sub>2</sub></font> ) )
 <b>by </b><i><a class="ref" href="prepower.html#T79" target="_self">Th79</a></i>;<br/>
<a NAME="E3:94_1_1"/><i><font color="Green">E77</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="prepower.html#K11" target="_self">#Q</a> <font color="Maroon">c<sub>3</sub></font> is <a href="seq_2.html#V4">convergent</a>
 
<b>by </b><i><a class="txt" href="prepower.html#E1:94"><i><font color="Green">E75</font></i></a>, <a class="txt" href="prepower.html#E2:94_1_1"><i><font color="Green">E76</font></i></a>, <a class="ref" href="prepower.html#T82" target="_self">Th82</a></i>;<br/>
<b>take </b>
 <a href="seq_2.html#K2">lim</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="prepower.html#K11" target="_self">#Q</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
;<br/>

<b>thus </b><a NAME="E4:94_1_1"/>
ex <font color="Olive">b<sub>1</sub></font> being  <a href="prepower.html#NM1">Rational_Sequence</a> st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="seq_2.html#V4">convergent</a> &amp;  <a href="seq_2.html#K2">lim</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> &amp; <font color="Maroon">c<sub>1</sub></font> <a href="prepower.html#K11" target="_self">#Q</a> <font color="Olive">b<sub>1</sub></font> is <a href="seq_2.html#V4">convergent</a> &amp;  <a href="seq_2.html#K2">lim</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="prepower.html#K11" target="_self">#Q</a> <font color="Olive">b<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="seq_2.html#K2">lim</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="prepower.html#K11" target="_self">#Q</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> )
 <b>by </b><i><a class="txt" href="prepower.html#E2:94_1_1"><i><font color="Green">E76</font></i></a>, <a class="txt" href="prepower.html#E3:94_1_1"><i><font color="Green">E77</font></i></a></i>;<br/>


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