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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E26">Th25</font></span>: <a NAME="T25"><span class="comment"><font color="firebrick">:: PENCIL_4:25</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="matrlin.html#V1" title="MATRLIN:attr.1">finite-dimensional</a>  <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">m</font>, <font color="Olive" title="b4">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b4">n</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="vectsp_9.html#K1" title="VECTSP_9:func.1">dim</a> <font color="Olive" title="b2">V</font> holds <br/> not  <a href="pencil_4.html#K7" title="PENCIL_4:func.7">GrassmannSpace</a> (<font color="Olive" title="b2">V</font>,<font color="Olive" title="b3">m</font>,<font color="Olive" title="b4">n</font>) is  <a href="pencil_1.html#V3" title="PENCIL_1:attr.3">void</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="pencil_4.html#T22" target="_self" onmouseover="rs('pencil_4/T22')" onmouseout="rh()">Th22</a></span>;<br/></div></div>
