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<span class="kw">let </span><font color="Maroon" title="c1">x</font> be    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#K2" title="NUMBERS:func.2">COMPLEX</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <a href="seq_4.html#K18" title="SEQ_4:func.18">-</a> <span class="p1">(<span class="default"><a href="seq_4.html#K17" title="SEQ_4:func.17">0c</a> <span class="p2">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="seq_4.html#K17" title="SEQ_4:func.17">0c</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</font></span>)</span></span><br/>

 <a href="seq_4.html#K18" title="SEQ_4:func.18">-</a> <span class="p1">(<span class="default"><a href="seq_4.html#K17" title="SEQ_4:func.17">0c</a> <span class="p2">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> = 
 <a href="complsp2.html#K5" title="COMPLSP2:func.5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="complsp2.html#K9" title="COMPLSP2:func.9">|-&gt;</a> <a href="complex1.html#K5" title="COMPLEX1:func.5">0c</a> </span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="seq_4.html#D15" title="SEQ_4:def.15">SEQ_4:def 15</a></span>
<br/>.= 
<a href="binop_2.html#K25" title="BINOP_2:func.25">compcomplex</a>  <a href="finseqop.html#K5" title="FINSEQOP:func.5">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="complsp2.html#K9" title="COMPLSP2:func.9">|-&gt;</a> <a href="complex1.html#K5" title="COMPLEX1:func.5">0c</a> </span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="seq_4.html#D11" title="SEQ_4:def.11">SEQ_4:def 11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="complsp2.html#K9" title="COMPLSP2:func.9">|-&gt;</a> <span class="p1">(<span class="default"><a href="binop_2.html#K25" title="BINOP_2:func.25">compcomplex</a>  <a href="matrix_5.html#K9" title="MATRIX_5:func.9">.</a> <a href="complex1.html#K5" title="COMPLEX1:func.5">0c</a> </span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseqop.html#T17" title="FINSEQOP:th.17">FINSEQOP:17</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="complsp2.html#K9" title="COMPLSP2:func.9">|-&gt;</a> <span class="p1">(<span class="default"><a href="binop_2.html#K1" title="BINOP_2:func.1">-</a> <a href="complex1.html#K5" title="COMPLEX1:func.5">0c</a> </span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="binop_2.html#D1" title="BINOP_2:def.1">BINOP_2:def 1</a></span>
<br/>.= 
 <a href="seq_4.html#K17" title="SEQ_4:func.17">0c</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="seq_4.html#D15" title="SEQ_4:def.15">SEQ_4:def 15</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E2:52"/>
 <a href="seq_4.html#K18" title="SEQ_4:func.18">-</a> <span class="p1">(<span class="default"><a href="seq_4.html#K17" title="SEQ_4:func.17">0c</a> <span class="p2">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="seq_4.html#K17" title="SEQ_4:func.17">0c</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</font></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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