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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E36">Th38</font></span>: <a NAME="T38"><span class="comment"><font color="firebrick">:: VECTSP_5:38</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b2">V</font> being   <a href="vectsp_1.html#NM9" title="VECTSP_1:NM.9">VectSp</a> of <font color="Olive" title="b1">F</font><br/>  for <font color="Olive" title="b3">W</font> being    <a href="vectsp_4.html#M1" title="VECTSP_4:mode.1">Subspace</a> of <font color="Olive" title="b2">V</font><br/>  for <font color="Olive" title="b4">L</font> being    <a href="vectsp_5.html#M1" title="VECTSP_5:mode.1">Linear_Compl</a> of <font color="Olive" title="b3">W</font> holds <br/> ( <font color="Olive" title="b2">V</font> <a href="vectsp_5.html#R1" title="VECTSP_5:pred.1">is_the_direct_sum_of</a> <font color="Olive" title="b4">L</font>,<font color="Olive" title="b3">W</font> &amp; <font color="Olive" title="b2">V</font> <a href="vectsp_5.html#R1" title="VECTSP_5:pred.1">is_the_direct_sum_of</a> <font color="Olive" title="b3">W</font>,<font color="Olive" title="b4">L</font> ) <span class="kw">by</span> <span class="lab"><a class="ref" href="vectsp_5.html#D5" target="_self" onmouseover="rs('vectsp_5/D5')" onmouseout="rh()">Def5</a>, <a class="txt" href="vectsp_5.html#E58"><span class="lab"><font color="Green" title="E35">Lm17</font></span></a></span>;<br/></div></div>
