<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E33">Th33</font></span>: <a NAME="T39"><span class="comment"><font color="firebrick">:: ANPROJ_8:39</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">M</font> being   <a href="matrix_1.html#NM2" title="MATRIX_1:NM.2">Matrix</a> of <font color="Olive" title="b1">k</font>,<a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a> holds   <a href="matrtop1.html#K3" title="MATRTOP1:func.3">Mx2Tran</a> <font color="Olive" title="b2">M</font> is   <a href="ranknull.html#NM1" title="RANKNULL:NM.1">linear-transformation</a> of <span class="p1">(<span class="default"><a href="dualsp01.html#K2" title="DUALSP01:func.2">RLSp2RVSp</a> <span class="p2">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> <font color="Olive" title="b1">k</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="dualsp01.html#K2" title="DUALSP01:func.2">RLSp2RVSp</a> <span class="p2">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> <font color="Olive" title="b1">k</font></span>)</span></span>)</span></div></div>
