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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E46">Th81</font></span>: <a NAME="T81"><span class="comment"><font color="firebrick">:: REAL_NS2:81</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">W</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a>  st <font color="Olive" title="b1">W</font> is  <a href="rlvect_5.html#V1" title="RLVECT_5:attr.1">finite-dimensional</a>  holds <br/>(  <a href="dualsp01.html#K2" title="DUALSP01:func.2">RLSp2RVSp</a> <font color="Olive" title="b1">W</font> is  <a href="matrlin.html#V1" title="MATRLIN:attr.1">finite-dimensional</a>  &amp;  <a href="vectsp_9.html#K1" title="VECTSP_9:func.1">dim</a> <span class="p1">(<span class="default"><a href="dualsp01.html#K2" title="DUALSP01:func.2">RLSp2RVSp</a> <font color="Olive" title="b1">W</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rlvect_5.html#K1" title="RLVECT_5:func.1">dim</a> <font color="Olive" title="b1">W</font> )</div></div>
