<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K2">COMPLEX</a> ;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="matrix_1.html#NM1">Matrix</a> of <a href="numbers.html#K2">COMPLEX</a> ;<br/>





<b>assume </b><a NAME="E1:53"/><i><font color="Green">E41</font></i>: 
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="matrix_1.html#K1">width</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/>

 <a href="finseq_1.html#K3">len</a> <span class="p1">(<span class="default"><a href="matrix_1.html#K8">Line</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="matrixc1.html#K1" target="_self">*'</a> </span>)</span>,<font color="Maroon">c<sub>1</sub></font></span>)</span> = 
 <a href="matrix_1.html#K1">width</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="matrixc1.html#K1" target="_self">*'</a> </span>)</span>
<b>by </b><i><a class="ref" href="matrix_1.html#D8">MATRIX_1:def 8</a></i>
<br/>.= 
 <a href="matrix_1.html#K1">width</a> <font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="ref" href="matrixc1.html#D1" target="_self">Def1</a></i>
;<br/>
<b>hence </b><a NAME="E3:53"/>
 <a href="matrixc1.html#K5" target="_self">mlt</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="matrix_1.html#K8">Line</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="matrixc1.html#K1" target="_self">*'</a> </span>)</span>,<font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="complsp2.html#K1">*'</a> </span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="matrixc1.html#K5" target="_self">mlt</a> <span class="p2">(<span class="default"><a href="matrix_1.html#K8">Line</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="matrixc1.html#K1" target="_self">*'</a> </span>)</span>,<font color="Maroon">c<sub>1</sub></font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="complsp2.html#K1">*'</a> </span>)</span></span>)</span> <a href="complsp2.html#K1">*'</a> 
 <b>by </b><i><a class="ref" href="matrixc1.html#T25" target="_self">Th25</a>, <a class="txt" href="matrixc1.html#E1:53"><i><font color="Green">E41</font></i></a></i>;<br/>


</div>
