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<span class="kw">let </span><font color="Maroon" title="c1">M</font> be   <a href="matrix_1.html#NM1" title="MATRIX_1:NM.1">Matrix</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="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="matrix_5.html#K4" title="MATRIX_5:func.4">-</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="matrixc1.html#K1" title="MATRIXC1:func.1">*'</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrix_5.html#K4" title="MATRIX_5:func.4">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">M</font> <a href="matrixc1.html#K1" title="MATRIXC1:func.1">*'</a></span>)</span></span><br/>

<span class="p1">(<span class="default"><a href="matrix_5.html#K4" title="MATRIX_5:func.4">-</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="matrixc1.html#K1" title="MATRIXC1:func.1">*'</a>  = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binop_2.html#K19" title="BINOP_2:func.19">-</a> 1</span>)</span> <a href="matrix_5.html#K7" title="MATRIX_5:func.7">*</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="matrixc1.html#K1" title="MATRIXC1:func.1">*'</a> 
<span class="kw">by</span> <span class="lab"><a class="ref" href="matrixc1.html#T11" target="_self" title="MATRIXC1:th.11">Th11</a></span>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binop_2.html#K1" title="BINOP_2:func.1">-</a> <a href="complex1.html#K6" title="COMPLEX1:func.6">1r</a></span>)</span> <a href="complex1.html#K15" title="COMPLEX1:func.15">*'</a></span>)</span> <a href="matrix_5.html#K7" title="MATRIX_5:func.7">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">M</font> <a href="matrixc1.html#K1" title="MATRIXC1:func.1">*'</a></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="matrixc1.html#T5" target="_self" title="MATRIXC1:th.5">Th5</a>, <a class="ref" href="complex1.html#D4" title="COMPLEX1:def.4">COMPLEX1:def 4</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="binop_2.html#K19" title="BINOP_2:func.19">-</a> 1</span>)</span> <a href="matrix_5.html#K7" title="MATRIX_5:func.7">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">M</font> <a href="matrixc1.html#K1" title="MATRIXC1:func.1">*'</a></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="complex1.html#T30" title="COMPLEX1:th.30">COMPLEX1:30</a>, <a class="ref" href="complex1.html#T33" title="COMPLEX1:th.33">COMPLEX1:33</a>, <a class="ref" href="complex1.html#D4" title="COMPLEX1:def.4">COMPLEX1:def 4</a></span>
<br/>.= 
 <a href="matrix_5.html#K4" title="MATRIX_5:func.4">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">M</font> <a href="matrixc1.html#K1" title="MATRIXC1:func.1">*'</a></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="matrixc1.html#T11" target="_self" title="MATRIXC1:th.11">Th11</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E2:13"/>
<span class="p1">(<span class="default"><a href="matrix_5.html#K4" title="MATRIX_5:func.4">-</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="matrixc1.html#K1" title="MATRIXC1:func.1">*'</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrix_5.html#K4" title="MATRIX_5:func.4">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">M</font> <a href="matrixc1.html#K1" title="MATRIXC1:func.1">*'</a></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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