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<div><span class="kw">theorem </span><a NAME="T21"><span class="comment"><font color="firebrick">:: VECTSP_9:21</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">GF</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">GF</font>  st <font color="Olive" title="b2">V</font> is  <a href="matrlin.html#V1" title="MATRLIN:attr.1">finite-dimensional</a>  holds <br/> for <font color="Olive" title="b3">A</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b2">V</font>  st <font color="Olive" title="b3">A</font> is  <a href="vectsp_7.html#V1" title="VECTSP_7:attr.1">linearly-independent</a>  holds <br/><font color="Olive" title="b3">A</font> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> </div></div>
