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<b>let </b><font color="Maroon">i</font> be   <a href="nat_1.html#NM1">Nat</a>;<br/><b>let </b><font color="Maroon">a</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K2">COMPLEX</a> ;<br/><b>let </b><font color="Maroon">R1</font> be    <a href="finseq_2.html#M2">Element</a> of <font color="Maroon">i</font> <a href="finseq_2.html#K4">-tuples_on</a> <a href="numbers.html#K2">COMPLEX</a> ;<br/><b>let </b><font color="Maroon">R2</font> be    <a href="finseq_2.html#M2">Element</a> of <font color="Maroon">i</font> <a href="finseq_2.html#K4">-tuples_on</a> <a href="numbers.html#K2">COMPLEX</a> ;<br/>







<a NAME="E1:24"/><i><font color="Green">E35</font></i>: 
<font color="Maroon">i</font> <a href="hidden.html#R2">in</a>  <a href="numbers.html#K5">NAT</a> 
 
<b>by </b><i><a class="ref" href="ordinal1.html#D13">ORDINAL1:def 13</a></i>;<br/>
<b>thus </b><font color="Maroon">a</font> <a href="complsp1.html#K6">*</a> <span class="p1">(<span class="default"><a href="matrixc1.html#K5" target="_self">mlt</a> <font color="Maroon">R1</font>,<font color="Maroon">R2</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="binop_2.html#K29">multcomplex</a>  <a href="funcop_1.html#K8">[;]</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><a href="partfun1.html#K6">id</a> <a href="numbers.html#K2">COMPLEX</a> </span>)</span></span>)</span> <a href="finseqop.html#K5">*</a> <span class="p1">(<span class="default"><a href="matrixc1.html#K5" target="_self">mlt</a> <font color="Maroon">R1</font>,<font color="Maroon">R2</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<a href="binop_2.html#K29">multcomplex</a>  <a href="finseqop.html#K1">.:</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binop_2.html#K29">multcomplex</a>  <a href="funcop_1.html#K8">[;]</a> <font color="Maroon">a</font>,<span class="p3">(<span class="default"><a href="partfun1.html#K6">id</a> <a href="numbers.html#K2">COMPLEX</a> </span>)</span></span>)</span> <a href="finseqop.html#K5">*</a> <font color="Maroon">R1</font></span>)</span>,<font color="Maroon">R2</font>
<b>by </b><i><a class="ref" href="finseqop.html#T27">FINSEQOP:27</a>, </i>
<br/>.= 
 <a href="matrixc1.html#K5" target="_self">mlt</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="complsp1.html#K6">*</a> <font color="Maroon">R1</font></span>)</span>,<font color="Maroon">R2</font>
<b>by </b><i/>
;<br/>


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