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<b>let </b><font color="Maroon" title="c1">seq</font>, <font color="Maroon" title="c2">seq'</font>, <font color="Maroon" title="c3">seq1</font>, <font color="Maroon" title="c4">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="E1:43"/><i><font color="Green" title="E24">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="E2:43"/><i><font color="Green" title="E25">A2</font></i>: 
<font color="Maroon" title="c2">seq'</font> is <a href="comseq_1.html#V1" title="COMSEQ_1:attr.1">non-zero</a>
 ;<br/>

<b>assume </b><a NAME="E3:43"/>
<font color="Maroon" title="c3">seq1</font> is <a href="comseq_1.html#V1" title="COMSEQ_1:attr.1">non-zero</a>
 ;<br/>

<a NAME="E4:43"/><b>then </b>
<font color="Maroon" title="c3">seq1</font> <a href="valued_1.html#K36" title="VALUED_1:func.36">"</a>  is <a href="comseq_1.html#V1" title="COMSEQ_1:attr.1">non-zero</a>
 
<b>by </b><i><a class="ref" href="comseq_1.html#T30" target="_self" title="COMSEQ_1:th.30">Th30</a></i>;<br/>
<b>hence </b><span class="p1">(<span class="default"><font color="Maroon" title="c4">seq1'</font> <a href="valued_1.html#K51" title="VALUED_1:func.51">/"</a> <font color="Maroon" title="c1">seq</font></span>)</span> <a href="valued_1.html#K51" title="VALUED_1:func.51">/"</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">seq'</font> <a href="valued_1.html#K51" title="VALUED_1:func.51">/"</a> <font color="Maroon" title="c3">seq1</font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">seq1'</font> <a href="valued_1.html#K51" title="VALUED_1:func.51">/"</a> <font color="Maroon" title="c1">seq</font></span>)</span> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">seq'</font> <a href="valued_1.html#K36" title="VALUED_1:func.36">"</a> </span>)</span> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c3">seq1</font> <a href="valued_1.html#K36" title="VALUED_1:func.36">"</a> </span>)</span> <a href="valued_1.html#K36" title="VALUED_1:func.36">"</a> </span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="comseq_1.html#E2:43"><i><font color="Green" title="E25">A2</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"><span class="p2">(<span class="default"><font color="Maroon" title="c4">seq1'</font> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">seq</font> <a href="valued_1.html#K36" title="VALUED_1:func.36">"</a> </span>)</span></span>)</span> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <font color="Maroon" title="c3">seq1</font></span>)</span> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">seq'</font> <a href="valued_1.html#K36" title="VALUED_1:func.36">"</a> </span>)</span>
<b>by </b><i><a class="ref" href="comseq_1.html#T11" target="_self" title="COMSEQ_1:th.11">Th11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">seq1'</font> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">seq1</font> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">seq</font> <a href="valued_1.html#K36" title="VALUED_1:func.36">"</a> </span>)</span></span>)</span></span>)</span> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">seq'</font> <a href="valued_1.html#K36" title="VALUED_1:func.36">"</a> </span>)</span>
<b>by </b><i><a class="ref" href="comseq_1.html#T11" target="_self" title="COMSEQ_1:th.11">Th11</a></i>
<br/>.= 
<font color="Maroon" title="c4">seq1'</font> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c3">seq1</font> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">seq</font> <a href="valued_1.html#K36" title="VALUED_1:func.36">"</a> </span>)</span></span>)</span> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">seq'</font> <a href="valued_1.html#K36" title="VALUED_1:func.36">"</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="comseq_1.html#T11" target="_self" title="COMSEQ_1:th.11">Th11</a></i>
<br/>.= 
<font color="Maroon" title="c4">seq1'</font> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">seq1</font> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c1">seq</font> <a href="valued_1.html#K36" title="VALUED_1:func.36">"</a> </span>)</span> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <span class="p3">(<span class="default"><font color="Maroon" title="c2">seq'</font> <a href="valued_1.html#K36" title="VALUED_1:func.36">"</a> </span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="comseq_1.html#T11" target="_self" title="COMSEQ_1:th.11">Th11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">seq1'</font> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <font color="Maroon" title="c3">seq1</font></span>)</span> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">seq</font> <a href="valued_1.html#K36" title="VALUED_1:func.36">"</a> </span>)</span> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">seq'</font> <a href="valued_1.html#K36" title="VALUED_1:func.36">"</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="comseq_1.html#T11" target="_self" title="COMSEQ_1:th.11">Th11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">seq1'</font> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <font color="Maroon" title="c3">seq1</font></span>)</span> <a href="valued_1.html#K51" title="VALUED_1:func.51">/"</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">seq</font> <a href="valued_1.html#K19" title="VALUED_1:func.19">(#)</a> <font color="Maroon" title="c2">seq'</font></span>)</span>
<b>by </b><i><a class="txt" href="comseq_1.html#E1:43"><i><font color="Green" title="E24">A1</font></i></a>, <a class="txt" href="comseq_1.html#E2:43"><i><font color="Green" title="E25">A2</font></i></a>, <a class="ref" href="comseq_1.html#T33" target="_self" title="COMSEQ_1:th.33">Th33</a></i>
;<br/><br/>


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