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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font> be    <a href="finseq_2.html#M2">Element</a> of <font color="Maroon">c<sub>1</sub></font> <a href="finseq_2.html#K4">-tuples_on</a> <a href="numbers.html#K1">REAL</a> ;<br/>







<b>assume </b><a NAME="E1:23"/>
<font color="Maroon">c<sub>2</sub></font> <a href="rvsum_1.html#K4" target="_self">+</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> <a href="rvsum_1.html#K4" target="_self">+</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/>

<a NAME="E2:23"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> <a href="rvsum_1.html#K4" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="rvsum_1.html#K4" target="_self">+</a> <span class="p2">(<span class="default"><a href="rvsum_1.html#K6" target="_self">-</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="rvsum_1.html#K4" target="_self">+</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="rvsum_1.html#K4" target="_self">+</a> <span class="p1">(<span class="default"><a href="rvsum_1.html#K6" target="_self">-</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
 
<b>by </b><i><a class="ref" href="rvsum_1.html#T32" target="_self">Th32</a></i>;<br/>
<a NAME="E3:23"/><b>then </b>
( <font color="Maroon">c<sub>2</sub></font> <a href="rvsum_1.html#K4" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="rvsum_1.html#K4" target="_self">+</a> <span class="p2">(<span class="default"><a href="rvsum_1.html#K6" target="_self">-</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> <a href="rvsum_1.html#K4" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="rvsum_1.html#K4" target="_self">+</a> <span class="p2">(<span class="default"><a href="rvsum_1.html#K6" target="_self">-</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> &amp; <font color="Maroon">c<sub>3</sub></font> <a href="rvsum_1.html#K4" target="_self">+</a> <span class="p1">(<span class="default"><a href="rvsum_1.html#K6" target="_self">-</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> <a href="finseqop.html#K4">|-&gt;</a> 0 )
 
<b>by </b><i><a class="ref" href="rvsum_1.html#T32" target="_self">Th32</a>, <a class="ref" href="rvsum_1.html#T40" target="_self">Th40</a></i>;<br/>
<a NAME="E4:23"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> <a href="rvsum_1.html#K4" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseqop.html#K4">|-&gt;</a> 0</span>)</span>
 
<b>by </b><i><a class="ref" href="rvsum_1.html#T33" target="_self">Th33</a></i>;<br/>
<b>hence </b><a NAME="E5:23"/>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="ref" href="rvsum_1.html#T33" target="_self">Th33</a></i>;<br/>


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