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<span class="kw">let </span><font color="Maroon" title="c1">n</font> be   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">M</font> being   <a href="matrix_0.html#NM3" title="MATRIX_0:NM.3">Matrix</a> of <font color="Maroon" title="c1">n</font>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> holds   <a href="matrix_0.html#K2" title="MATRIX_0:func.2">Indices</a> <font color="Olive" title="b1">M</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrix_0.html#K2" title="MATRIX_0:func.2">Indices</a> <span class="p1"><a href="matrix10.html#K3" title="MATRIX10:func.3">|:</a><span class="default"><font color="Olive" title="b1">M</font></span><a href="matrix10.html#K3" title="MATRIX10:func.3">:|</a></span></span><br/><span class="kw">let </span><font color="Maroon" title="c2">M</font> be   <a href="matrix_0.html#NM3" title="MATRIX_0:NM.3">Matrix</a> of <font color="Maroon" title="c1">n</font>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="matrix_0.html#K2" title="MATRIX_0:func.2">Indices</a> <font color="Maroon" title="c2">M</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrix_0.html#K2" title="MATRIX_0:func.2">Indices</a> <span class="p1"><a href="matrix10.html#K3" title="MATRIX10:func.3">|:</a><span class="default"><font color="Maroon" title="c2">M</font></span><a href="matrix10.html#K3" title="MATRIX10:func.3">:|</a></span></span><br/>



<a NAME="E1:20"/><span class="lab"><font color="Green" title="E13">A1</font></span>: 
 <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c2">M</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c2">M</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_1.html#D3" onmouseover="rs('finseq_1/D3')" onmouseout="rh()">FINSEQ_1:def 3</a></span>;<br/>
<a NAME="E2:20"/>
(  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1"><a href="matrix10.html#K3" title="MATRIX10:func.3">|:</a><span class="default"><font color="Maroon" title="c2">M</font></span><a href="matrix10.html#K3" title="MATRIX10:func.3">:|</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c2">M</font> &amp;  <a href="matrix_0.html#K1" title="MATRIX_0:func.1">width</a> <span class="p1"><a href="matrix10.html#K3" title="MATRIX10:func.3">|:</a><span class="default"><font color="Maroon" title="c2">M</font></span><a href="matrix10.html#K3" title="MATRIX10:func.3">:|</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrix_0.html#K1" title="MATRIX_0:func.1">width</a> <font color="Maroon" title="c2">M</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="matrix10.html#D7" target="_self" onmouseover="rs('matrix10/D7')" onmouseout="rh()">Def7</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:20"/>
 <a href="matrix_0.html#K2" title="MATRIX_0:func.2">Indices</a> <font color="Maroon" title="c2">M</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrix_0.html#K2" title="MATRIX_0:func.2">Indices</a> <span class="p1"><a href="matrix10.html#K3" title="MATRIX10:func.3">|:</a><span class="default"><font color="Maroon" title="c2">M</font></span><a href="matrix10.html#K3" title="MATRIX10:func.3">:|</a></span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:20"><span class="lab"><font color="Green" title="E13">A1</font></span></a>, <a class="ref" href="finseq_1.html#D3" onmouseover="rs('finseq_1/D3')" onmouseout="rh()">FINSEQ_1:def 3</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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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