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<b>let </b><font color="Maroon" title="c1">seq</font>, <font color="Maroon" title="c2">seq1</font> be   <a href="comseq_1.html#NM1" title="COMSEQ_1:NM.1">Complex_Sequence</a>;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:50"/><i><font color="Green" title="E37">A1</font></i>: 
<font color="Maroon" title="c1">seq</font> is <a href="comseq_1.html#V1" title="COMSEQ_1:attr.1">non-zero</a>
 <b>and </b><br/><a NAME="E2:50"/><i><font color="Green" title="E38">A2</font></i>: 
<font color="Maroon" title="c2">seq1</font> is <a href="comseq_1.html#V1" title="COMSEQ_1:attr.1">non-zero</a>
 ;<br/>

<a NAME="E3:50"/><i><font color="Green" title="E39">A3</font></i>: 
<font color="Maroon" title="c2">seq1</font> <a href="comseq_1.html#K7" title="COMSEQ_1:func.7">"</a>  is <a href="comseq_1.html#V1" title="COMSEQ_1:attr.1">non-zero</a>
 
<b>by </b><i><a class="txt" href="comseq_1.html#E2:50"><i><font color="Green" title="E38">A2</font></i></a>, <a class="ref" href="comseq_1.html#T30" target="_self" title="COMSEQ_1:th.30">Th30</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="50_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c3">n</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/><b>thus </b><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">seq</font> <a href="comseq_1.html#K8" title="COMSEQ_1:func.8">/"</a> <font color="Maroon" title="c2">seq1</font></span>)</span> <a href="comseq_1.html#K7" title="COMSEQ_1:func.7">"</a> </span>)</span> <a href="comseq_1.html#K1" title="COMSEQ_1:func.1">.</a> <font color="Maroon" title="c3">n</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">seq</font> <a href="comseq_1.html#K7" title="COMSEQ_1:func.7">"</a> </span>)</span> <a href="comseq_1.html#K3" title="COMSEQ_1:func.3">(#)</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c2">seq1</font> <a href="comseq_1.html#K7" title="COMSEQ_1:func.7">"</a> </span>)</span> <a href="comseq_1.html#K7" title="COMSEQ_1:func.7">"</a> </span>)</span></span>)</span> <a href="comseq_1.html#K1" title="COMSEQ_1:func.1">.</a> <font color="Maroon" title="c3">n</font>
<b>by </b><i><a class="txt" href="comseq_1.html#E1:50"><i><font color="Green" title="E37">A1</font></i></a>, <a class="txt" href="comseq_1.html#E3:50"><i><font color="Green" title="E39">A3</font></i></a>, <a class="ref" href="comseq_1.html#T33" target="_self" title="COMSEQ_1:th.33">Th33</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c2">seq1</font> <a href="comseq_1.html#K8" title="COMSEQ_1:func.8">/"</a> <font color="Maroon" title="c1">seq</font></span>)</span> <a href="comseq_1.html#K1" title="COMSEQ_1:func.1">.</a> <font color="Maroon" title="c3">n</font>
<b>by </b><i><a class="ref" href="comseq_1.html#T31" target="_self" title="COMSEQ_1:th.31">Th31</a></i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E5:50"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c1">seq</font> <a href="comseq_1.html#K8" title="COMSEQ_1:func.8">/"</a> <font color="Maroon" title="c2">seq1</font></span>)</span> <a href="comseq_1.html#K7" title="COMSEQ_1:func.7">"</a>  <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c2">seq1</font> <a href="comseq_1.html#K8" title="COMSEQ_1:func.8">/"</a> <font color="Maroon" title="c1">seq</font>
 <b>by </b><i><a class="ref" href="comseq_1.html#T6" target="_self" title="COMSEQ_1:th.6">Th6</a></i>;<br/>


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