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<b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">p1</font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" target="_self">TOP-REAL</a> <font color="Maroon">n</font></span>)</span>;<br/><b>let </b><font color="Maroon">p2</font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" target="_self">TOP-REAL</a> <font color="Maroon">n</font></span>)</span>;<br/><b>let </b><font color="Maroon">p3</font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" target="_self">TOP-REAL</a> <font color="Maroon">n</font></span>)</span>;<br/>







<b>reconsider </b><font color="Maroon">r1</font> = <font color="Maroon">p1</font>, <font color="Maroon">r2</font> = <font color="Maroon">p2</font>, <font color="Maroon">r3</font> = <font color="Maroon">p3</font> as    <a href="finseq_2.html#M2">Element</a> of  <a href="euclid.html#K1" target="_self">REAL</a> <font color="Maroon">n</font> ;<br/>
<b>reconsider </b><font color="Maroon">r1'</font> = <font color="Maroon">r1</font>, <font color="Maroon">r2'</font> = <font color="Maroon">r2</font>, <font color="Maroon">r3'</font> = <font color="Maroon">r3</font> as    <a href="finseq_2.html#M2">Element</a> of <font color="Maroon">n</font> <a href="finseq_2.html#K4">-tuples_on</a> <a href="numbers.html#K1">REAL</a>  ;<br/>
<b>reconsider </b><font color="Maroon">r12</font> = <font color="Maroon">r1</font> <a href="euclid.html#K7" target="_self">+</a> <font color="Maroon">r2</font> as   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" target="_self">TOP-REAL</a> <font color="Maroon">n</font></span>)</span> ;<br/>
<b>reconsider </b><font color="Maroon">p23</font> = <font color="Maroon">p2</font> <a href="euclid.html#K17" target="_self">+</a> <font color="Maroon">p3</font> as    <a href="finseq_2.html#M2">Element</a> of  <a href="euclid.html#K1" target="_self">REAL</a> <font color="Maroon">n</font> ;<br/>
<b>thus </b><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K17" target="_self">+</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K17" target="_self">+</a> <font color="Maroon">p3</font> = 
<font color="Maroon">r12</font> <a href="euclid.html#K17" target="_self">+</a> <font color="Maroon">p3</font>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">r1</font> <a href="euclid.html#K7" target="_self">+</a> <font color="Maroon">r2</font></span>)</span> <a href="euclid.html#K7" target="_self">+</a> <font color="Maroon">r3</font>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">r1'</font> <a href="rvsum_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">r2'</font> <a href="rvsum_1.html#K4">+</a> <font color="Maroon">r3'</font></span>)</span>
<b>by </b><i><a class="ref" href="rvsum_1.html#T32">RVSUM_1:32</a></i>
<br/>.= 
<font color="Maroon">r1</font> <a href="euclid.html#K7" target="_self">+</a> <font color="Maroon">p23</font>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">p1</font> <a href="euclid.html#K17" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">p2</font> <a href="euclid.html#K17" target="_self">+</a> <font color="Maroon">p3</font></span>)</span>
<b>by </b><i/>
;<br/>


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