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<b>let </b><font color="Maroon" title="c1">M</font> be  <a href="matrprob.html#V2" title="MATRPROB:attr.2">m-nonnegative</a> <a href="matrix_1.html#NM1" title="MATRIX_1:NM.1">Matrix</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> ;<br/><b>let </b><font color="Maroon" title="c2">k</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/>



<b>assume </b><a NAME="E1:66"/><i><font color="Green" title="E58">A1</font></i>: 
<font color="Maroon" title="c2">k</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c1">M</font>
 ;<br/>

<b>reconsider </b><font color="Maroon" title="c3">p</font> =  <a href="matrix_1.html#K8" title="MATRIX_1:func.8">Line</a> <font color="Maroon" title="c1">M</font>,<font color="Maroon" title="c2">k</font> as  <a href="partfun3.html#V4" title="PARTFUN3:attr.4">nonnegative</a>  <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>  <b>by </b><i><a class="txt" href="entropy1.html#E1:66"><i><font color="Green" title="E58">A1</font></i></a>, <a class="ref" href="entropy1.html#T19" target="_self" title="ENTROPY1:th.19">Th19</a></i>;<br/>
<b>set </b><font color="Maroon" title="c4">M1</font> =  <a href="entropy1.html#K5" title="ENTROPY1:func.5">Infor_FinSeq_of</a> <font color="Maroon" title="c1">M</font>;<br/>
<a NAME="E3:66"/>
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="entropy1.html#K5" title="ENTROPY1:func.5">Infor_FinSeq_of</a> <font color="Maroon" title="c1">M</font></span>)</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="c1">M</font>
 
<b>by </b><i><a class="ref" href="entropy1.html#D8" target="_self" title="ENTROPY1:def.8">Def8</a></i>;<br/>
<a NAME="E4:66"/><b>then </b><i><font color="Green" title="E59">A2</font></i>: 
 <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="entropy1.html#K5" title="ENTROPY1:func.5">Infor_FinSeq_of</a> <font color="Maroon" title="c1">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="c1">M</font>
 
<b>by </b><i><a class="ref" href="finseq_3.html#T31" title="FINSEQ_3:th.31">FINSEQ_3:31</a></i>;<br/>
<b>hence </b> <a href="matrix_1.html#K8" title="MATRIX_1:func.8">Line</a> <span class="p1">(<span class="default"><a href="entropy1.html#K5" title="ENTROPY1:func.5">Infor_FinSeq_of</a> <font color="Maroon" title="c1">M</font></span>)</span>,<font color="Maroon" title="c2">k</font> = 
<span class="p1">(<span class="default"><a href="entropy1.html#K5" title="ENTROPY1:func.5">Infor_FinSeq_of</a> <font color="Maroon" title="c1">M</font></span>)</span> <a href="matrprob.html#K1" title="MATRPROB:func.1">.</a> <font color="Maroon" title="c2">k</font>
<b>by </b><i><a class="txt" href="entropy1.html#E1:66"><i><font color="Green" title="E58">A1</font></i></a>, <a class="ref" href="matrix_2.html#T18" title="MATRIX_2:th.18">MATRIX_2:18</a></i>
<br/>.= 
 <a href="entropy1.html#K4" title="ENTROPY1:func.4">Infor_FinSeq_of</a> <span class="p1">(<span class="default"><a href="matrix_1.html#K8" title="MATRIX_1:func.8">Line</a> <font color="Maroon" title="c1">M</font>,<font color="Maroon" title="c2">k</font></span>)</span>
<b>by </b><i><a class="txt" href="entropy1.html#E1:66"><i><font color="Green" title="E58">A1</font></i></a>, <a class="txt" href="entropy1.html#E4:66"><i><font color="Green" title="E59">A2</font></i></a>, <a class="ref" href="entropy1.html#D8" target="_self" title="ENTROPY1:def.8">Def8</a></i>
;<br/><br/>


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