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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E5">Th3</font></span>: <a NAME="T3"><span class="comment"><font color="firebrick">:: RUSUB_4:3</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   <a href="bhsp_1.html#NM1" title="BHSP_1:NM.1">RealUnitarySpace</a>  st <font color="Olive" title="b1">V</font> is  <a href="rusub_4.html#V1" title="RUSUB_4:attr.1">finite-dimensional</a>  holds <br/> for <font color="Olive" title="b2">I</font> being    <a href="rusub_3.html#M1" title="RUSUB_3:mode.1">Basis</a> of <font color="Olive" title="b1">V</font> holds  <font color="Olive" title="b2">I</font> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> </div></div>
