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<b>let </b><font color="Maroon">c<sub>1</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><a NAME="E1:100"/><i><font color="Green">E73</font></i>: 
<font color="Maroon">c<sub>1</sub></font> is <a href="supinf_2.html#V6" target="_self">nonnegative</a>
 ;<br/>

<b>assume </b><a NAME="E2:100"/>
ex <font color="Olive">b<sub>1</sub></font> being  <a href="nat_1.html#NM1">Nat</a> st <font color="Maroon">c<sub>1</sub></font> <a href="supinf_2.html#K13" target="_self">.</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="supinf_1.html#K1">+infty</a> 
 ;<br/>

<a NAME="E3:100"/><b>then </b>
not  <a href="supinf_2.html#K19" target="_self">SUM</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="supinf_1.html#K3">REAL</a> 
 
<b>by </b><i><a class="txt" href="supinf_2.html#E1:100"><i><font color="Green">E73</font></i></a>, <a class="ref" href="supinf_2.html#T64" target="_self">Th64</a>, <a class="ref" href="supinf_1.html#T1">SUPINF_1:1</a></i>;<br/>
<b>hence </b><a NAME="E4:100"/>
not <font color="Maroon">c<sub>1</sub></font> is <a href="supinf_2.html#V7" target="_self">summable</a>
 <b>by </b><i><a class="ref" href="supinf_2.html#D24" target="_self">Def24</a></i>;<br/>


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