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<b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be   <a href="funct_2.html#NM1">Function</a> of  <a href="numbers.html#K5">NAT</a> , <a href="numbers.html#K6">ExtREAL</a> ;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:89_1_2"/><i><font color="Green">E63</font></i>: 
for <font color="Olive">b<sub>1</sub></font> being   <a href="supinf_2.html#M1" target="_self">Num</a> of  <a href="supinf_2.html#K17" target="_self">rng</a> <font color="Maroon">c<sub>1</sub></font> st <font color="Olive">b<sub>1</sub></font> <a href="funct_2.html#R2">=</a> <font color="Maroon">c<sub>1</sub></font> holds <br/><font color="Maroon">c<sub>2</sub></font> <a href="funct_2.html#R2">=</a>  <a href="supinf_2.html#K14" target="_self">Ser</a> <span class="p1">(<span class="default"><a href="supinf_2.html#K17" target="_self">rng</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Olive">b<sub>1</sub></font>
 <b>and </b><br/><a NAME="E2:89_1_2"/><i><font color="Green">E64</font></i>: 
for <font color="Olive">b<sub>1</sub></font> being   <a href="supinf_2.html#M1" target="_self">Num</a> of  <a href="supinf_2.html#K17" target="_self">rng</a> <font color="Maroon">c<sub>1</sub></font> st <font color="Olive">b<sub>1</sub></font> <a href="funct_2.html#R2">=</a> <font color="Maroon">c<sub>1</sub></font> holds <br/><font color="Maroon">c<sub>3</sub></font> <a href="funct_2.html#R2">=</a>  <a href="supinf_2.html#K14" target="_self">Ser</a> <span class="p1">(<span class="default"><a href="supinf_2.html#K17" target="_self">rng</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Olive">b<sub>1</sub></font>
 ;<br/>

<a NAME="E3:89_1_2"/>
<font color="Maroon">c<sub>1</sub></font> is    <a href="supinf_2.html#M1" target="_self">Num</a> of  <a href="supinf_2.html#K17" target="_self">rng</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="supinf_2.html#D16" target="_self">Def16</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">c<sub>4</sub></font> = <font color="Maroon">c<sub>1</sub></font> as    <a href="supinf_2.html#M1" target="_self">Num</a> of  <a href="supinf_2.html#K17" target="_self">rng</a> <font color="Maroon">c<sub>1</sub></font> ;<br/>
<b>thus </b><font color="Maroon">c<sub>2</sub></font> = 
 <a href="supinf_2.html#K14" target="_self">Ser</a> <span class="p1">(<span class="default"><a href="supinf_2.html#K17" target="_self">rng</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>4</sub></font>
<b>by </b><i><a class="txt" href="supinf_2.html#E1:89_1_2"><i><font color="Green">E63</font></i></a></i>
<br/>.= 
<font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="txt" href="supinf_2.html#E2:89_1_2"><i><font color="Green">E64</font></i></a></i>
;<br/>


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