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<b>let </b><font color="Maroon">seq1</font> be   <a href="comseq_1.html#NM1">Complex_Sequence</a>;<br/><b>let </b><font color="Maroon">seq2</font> be   <a href="comseq_1.html#NM1">Complex_Sequence</a>;<br/><b>let </b><font color="Maroon">seq3</font> be   <a href="comseq_1.html#NM1">Complex_Sequence</a>;<br/>





<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="28_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>thus </b><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">seq1</font> <a href="comseq_1.html#K2" target="_self">+</a> <font color="Maroon">seq2</font></span>)</span> <a href="comseq_1.html#K2" target="_self">+</a> <font color="Maroon">seq3</font></span>)</span> <a href="comseq_1.html#K1" target="_self">.</a> <font color="Maroon">n</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">seq1</font> <a href="comseq_1.html#K2" target="_self">+</a> <font color="Maroon">seq2</font></span>)</span> <a href="comseq_1.html#K1" target="_self">.</a> <font color="Maroon">n</font></span>)</span> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><font color="Maroon">seq3</font> <a href="comseq_1.html#K1" target="_self">.</a> <font color="Maroon">n</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">seq1</font> <a href="comseq_1.html#K1" target="_self">.</a> <font color="Maroon">n</font></span>)</span> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><font color="Maroon">seq2</font> <a href="comseq_1.html#K1" target="_self">.</a> <font color="Maroon">n</font></span>)</span></span>)</span> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><font color="Maroon">seq3</font> <a href="comseq_1.html#K1" target="_self">.</a> <font color="Maroon">n</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">seq1</font> <a href="comseq_1.html#K1" target="_self">.</a> <font color="Maroon">n</font></span>)</span> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">seq2</font> <a href="comseq_1.html#K1" target="_self">.</a> <font color="Maroon">n</font></span>)</span> <a href="complex1.html#K8">+</a> <span class="p2">(<span class="default"><font color="Maroon">seq3</font> <a href="comseq_1.html#K1" target="_self">.</a> <font color="Maroon">n</font></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">seq1</font> <a href="comseq_1.html#K1" target="_self">.</a> <font color="Maroon">n</font></span>)</span> <a href="complex1.html#K8">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">seq2</font> <a href="comseq_1.html#K2" target="_self">+</a> <font color="Maroon">seq3</font></span>)</span> <a href="comseq_1.html#K1" target="_self">.</a> <font color="Maroon">n</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">seq1</font> <a href="comseq_1.html#K2" target="_self">+</a> <span class="p2">(<span class="default"><font color="Maroon">seq2</font> <a href="comseq_1.html#K2" target="_self">+</a> <font color="Maroon">seq3</font></span>)</span></span>)</span> <a href="comseq_1.html#K1" target="_self">.</a> <font color="Maroon">n</font>
<b>by </b><i/>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:28"/>
<span class="p1">(<span class="default"><font color="Maroon">seq1</font> <a href="comseq_1.html#K2" target="_self">+</a> <font color="Maroon">seq2</font></span>)</span> <a href="comseq_1.html#K2" target="_self">+</a> <font color="Maroon">seq3</font> <a href="funct_2.html#R2">=</a> <font color="Maroon">seq1</font> <a href="comseq_1.html#K2" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">seq2</font> <a href="comseq_1.html#K2" target="_self">+</a> <font color="Maroon">seq3</font></span>)</span>
 <b>by </b><i/>;<br/>


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