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<b>let </b><font color="Maroon">F1</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> , <font color="Maroon">F2</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="E1:5"/><i><font color="Green">E19</font></i>: 
for <font color="Olive">n</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  holds  <span class="p1">(<span class="default"><a href="supinf_2.html#K18">Ser</a> <font color="Maroon">F1</font></span>)</span> <a href="measure1.html#K1">.</a> <font color="Olive">n</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="supinf_2.html#K18">Ser</a> <font color="Maroon">F2</font></span>)</span> <a href="measure1.html#K1">.</a> <font color="Olive">n</font>
 ;<br/>

<a NAME="E2:5"/><b>then </b><i><font color="Green">E26</font></i>: 
for <font color="Olive">n</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  holds  <span class="p1">(<span class="default"><a href="supinf_2.html#K18">Ser</a> <font color="Maroon">F1</font></span>)</span> <a href="measure1.html#K1">.</a> <font color="Olive">n</font> <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1">(<span class="default"><a href="supinf_2.html#K18">Ser</a> <font color="Maroon">F2</font></span>)</span> <a href="measure1.html#K1">.</a> <font color="Olive">n</font>
 
;<br/>
<a NAME="E3:5"/><i><font color="Green">E27</font></i>: 
for <font color="Olive">n</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  holds  <span class="p1">(<span class="default"><a href="supinf_2.html#K18">Ser</a> <font color="Maroon">F2</font></span>)</span> <a href="measure1.html#K1">.</a> <font color="Olive">n</font> <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1">(<span class="default"><a href="supinf_2.html#K18">Ser</a> <font color="Maroon">F1</font></span>)</span> <a href="measure1.html#K1">.</a> <font color="Olive">n</font>
 
<b>by </b><i/>;<br/>
<a NAME="E4:5"/><i><font color="Green">E29</font></i>: 
 <a href="supinf_2.html#K19">SUM</a> <font color="Maroon">F1</font> <a href="xxreal_0.html#R1">&lt;=</a>  <a href="supinf_2.html#K19">SUM</a> <font color="Maroon">F2</font>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E5:5"/>
 <a href="supinf_2.html#K19">SUM</a> <font color="Maroon">F2</font> <a href="xxreal_0.html#R1">&lt;=</a>  <a href="supinf_2.html#K19">SUM</a> <font color="Maroon">F1</font>
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E6:5"/>
 <a href="supinf_2.html#K19">SUM</a> <font color="Maroon">F1</font> <a href="hidden.html#R1">=</a>  <a href="supinf_2.html#K19">SUM</a> <font color="Maroon">F2</font>
 <b>by </b><i>, <a class="ref" href="supinf_1.html#T22">SUPINF_1:22</a></i>;<br/>


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