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<div><span class="kw">theorem </span><a NAME="T55"><span class="comment"><font color="firebrick">:: VECTSP_5:55</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><br/>  for <font color="Olive" title="b5">v</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b2">V</font> holds  <span class="p1">(<span class="default"><font color="Olive" title="b5">v</font> <a href="vectsp_5.html#K4" title="VECTSP_5:func.4">|--</a> (<font color="Olive" title="b3">W</font>,<font color="Olive" title="b4">L</font>)</span>)</span> <a href="domain_1.html#K2" title="DOMAIN_1:func.2">`1</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">v</font> <a href="vectsp_5.html#K4" title="VECTSP_5:func.4">|--</a> (<font color="Olive" title="b4">L</font>,<font color="Olive" title="b3">W</font>)</span>)</span> <a href="domain_1.html#K3" title="DOMAIN_1:func.3">`2</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="vectsp_5.html#T38" target="_self" onmouseover="rs('vectsp_5/T38')" onmouseout="rh()">Th38</a>, <a class="ref" href="vectsp_5.html#T50" target="_self" onmouseover="rs('vectsp_5/T50')" onmouseout="rh()">Th50</a></span>;<br/></div></div>
