<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E46">Th46</font></span>: <a NAME="T46"><span class="comment"><font color="firebrick">:: MATRIX15:46</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">K</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b3">A</font>, <font color="Olive" title="b4">B</font> being   <a href="matrix_1.html#NM1" title="MATRIX_1:NM.1">Matrix</a> of <font color="Olive" title="b2">K</font>  st <font color="Olive" title="b1">i</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b3">A</font> &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b3">A</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 1 holds <br/> <a href="matrix15.html#K4" title="MATRIX15:func.4">Solutions_of</a> (<font color="Olive" title="b3">A</font>,<font color="Olive" title="b4">B</font>) <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="matrix15.html#K4" title="MATRIX15:func.4">Solutions_of</a> (<span class="p1">(<span class="default"><a href="matrix_0.html#K17" title="MATRIX_0:func.17">DelLine</a> (<font color="Olive" title="b3">A</font>,<font color="Olive" title="b1">i</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="matrix_0.html#K17" title="MATRIX_0:func.17">DelLine</a> (<font color="Olive" title="b4">B</font>,<font color="Olive" title="b1">i</font>)</span>)</span>)</div></div>
