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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="cfunct_1.html#NM1">Complex</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be   <a href="clvect_1.html#NM1">VECTOR</a> of <a href="clvect_1.html#G1">CLSStruct</a>(# <a href="csspace.html#K1" target="_self">the_set_of_ComplexSequences</a> ,<a href="csspace.html#K6" target="_self">CZeroseq</a> ,<a href="csspace.html#K4" target="_self">l_add</a> ,<a href="csspace.html#K5" target="_self">l_mult</a>  #);<br/>



<i><font color="Green">E17</font></i>: <font color="Maroon">c<sub>1</sub></font> <a href="clvect_1.html#K1">*</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> = 
<font color="Maroon">c<sub>1</sub></font> <a href="comseq_1.html#K4">(#)</a> <span class="p1">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="csspace.html#T5" target="_self">Th5</a></i>
<br/>.= 
<font color="Maroon">c<sub>1</sub></font> <a href="comseq_1.html#K4">(#)</a> <span class="p1">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="comseq_1.html#K2">+</a> <span class="p3">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="csspace.html#T4" target="_self">Th4</a></i>
<br/>.= 
<font color="Maroon">c<sub>1</sub></font> <a href="comseq_1.html#K4">(#)</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="comseq_1.html#K2">+</a> <span class="p2">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="csspace.html#T3" target="_self">Th3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="comseq_1.html#K4">(#)</a> <span class="p2">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="comseq_1.html#K2">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="comseq_1.html#K4">(#)</a> <span class="p2">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="comseq_1.html#T19">COMSEQ_1:19</a></i>
;<br/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="comseq_1.html#K2">+</a> <span class="p1">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="csspace.html#T4" target="_self">Th4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="comseq_1.html#K4">(#)</a> <span class="p3">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="comseq_1.html#K2">+</a> <span class="p1">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="csspace.html#T5" target="_self">Th5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="comseq_1.html#K4">(#)</a> <span class="p3">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="comseq_1.html#K2">+</a> <span class="p1">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="comseq_1.html#K4">(#)</a> <span class="p3">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="csspace.html#T5" target="_self">Th5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="comseq_1.html#K4">(#)</a> <span class="p2">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="comseq_1.html#K2">+</a> <span class="p1">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="comseq_1.html#K4">(#)</a> <span class="p3">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="csspace.html#T3" target="_self">Th3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="comseq_1.html#K4">(#)</a> <span class="p2">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="comseq_1.html#K2">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="comseq_1.html#K4">(#)</a> <span class="p2">(<span class="default"><a href="csspace.html#K2" target="_self">seq_id</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="csspace.html#T3" target="_self">Th3</a></i>
;<br/>
<b>hence </b><a NAME="E3:16"/>
<font color="Maroon">c<sub>1</sub></font> <a href="clvect_1.html#K1">*</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="clvect_1.html#K1">*</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
 <b>by </b><i><a class="txt" href="csspace.html#E1:16"><i><font color="Green">E17</font></i></a></i>;<br/>


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