<?xml version="1.0"?>
<div class="add">

<b>set </b><font color="Maroon" title="c1">n</font> = 1;<br/>
<b>set </b><font color="Maroon" title="c2">m</font> = 1;<br/>
<b>consider </b><font color="Maroon" title="c3">M</font> being    <a href="matrix_1.html#M1" title="MATRIX_1:mode.1">Matrix</a> of 1,1, <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> <b> such that </b><br/><a NAME="E2:81_1_1"/><i><font color="Green" title="E63">A1</font></i>: 
( <font color="Maroon" title="c3">M</font> is <a href="matrprob.html#V2" title="MATRPROB:attr.2">m-nonnegative</a> &amp; <font color="Maroon" title="c3">M</font> is <a href="matrprob.html#V5" title="MATRPROB:attr.5">with_line_sum=1</a> )
 <b>by </b><i><a class="ref" href="matrprob.html#T58" target="_self" title="MATRPROB:th.58">Th58</a></i>;<br/>
<a NAME="E3:81_1_1"/><i><font color="Green" title="E64">A2</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c3">M</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 
<b>by </b><i><a class="ref" href="matrix_1.html#D3" title="MATRIX_1:def.3">MATRIX_1:def 3</a></i>;<br/>
<a NAME="E4:81_1_1"/><b>then </b><i><font color="Green" title="E65">A3</font></i>: 
 <a href="matrix_1.html#K1" title="MATRIX_1:func.1">width</a> <font color="Maroon" title="c3">M</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 
<b>by </b><i><a class="ref" href="matrix_1.html#T20" title="MATRIX_1:th.20">MATRIX_1:20</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c3">M</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( not <font color="Maroon" title="c3">M</font> is <a href="relat_1.html#V3" title="RELAT_1:attr.3">empty-yielding</a> &amp; <font color="Maroon" title="c3">M</font> is <a href="matrprob.html#V6" title="MATRPROB:attr.6">Conditional_Probability</a> )</span><br/>

<b>thus </b><a NAME="E5:81_1_1"/>
( not <font color="Maroon" title="c3">M</font> is <a href="relat_1.html#V3" title="RELAT_1:attr.3">empty-yielding</a> &amp; <font color="Maroon" title="c3">M</font> is <a href="matrprob.html#V6" title="MATRPROB:attr.6">Conditional_Probability</a> )
 <b>by </b><i><a class="txt" href="matrprob.html#E2:81_1_1"><i><font color="Green" title="E63">A1</font></i></a>, <a class="txt" href="matrprob.html#E3:81_1_1"><i><font color="Green" title="E64">A2</font></i></a>, <a class="txt" href="matrprob.html#E4:81_1_1"><i><font color="Green" title="E65">A3</font></i></a>, <a class="ref" href="matrprob.html#D10" target="_self" title="MATRPROB:def.10">Def10</a>, <a class="ref" href="goboard1.html#D5" title="GOBOARD1:def.5">GOBOARD1:def 5</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
