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<a NAME="E1:8_2_1"/>
for <font color="Olive" title="b1">i</font>, <font color="Olive" title="b2">j</font> being  <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>  st <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b1">i</font>,<font color="Olive" title="b2">j</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="matrix_1.html#K2" title="MATRIX_1:func.2">Indices</a> <span class="p1">(<span class="default">1,1 <a href="matrix_2.html#K2" title="MATRIX_2:func.2">--&gt;</a> 1</span>)</span> holds <br/><span class="p1">(<span class="default">1,1 <a href="matrix_2.html#K2" title="MATRIX_2:func.2">--&gt;</a> 1</span>)</span> <a href="matrix_1.html#K3" title="MATRIX_1:func.3">*</a> <font color="Olive" title="b1">i</font>,<font color="Olive" title="b2">j</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="matrix_2.html#T1" title="MATRIX_2:th.1">MATRIX_2:1</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:8_2_1"/>
for <font color="Olive">b<sub>1</sub></font> being  <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>   st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1,1 <a href="matrix_2.html#K2" title="MATRIX_2:func.2">--&gt;</a> 1 holds <br/><font color="Olive">b<sub>1</sub></font> is  <a href="matrix10.html#V4" title="MATRIX10:attr.4">Nonnegative</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="matrix10.html#D4" target="_self" title="MATRIX10:def.4">Def4</a></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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