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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E9">Def2</font></span>   defines <a href="rusub_4.html#K1" title="RUSUB_4:func.1">dim</a> <a onclick="hs(this)" href="javascript:()">RUSUB_4:def 2 : <br/></a><span> 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">b<sub>2</sub></font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rusub_4.html#K1" title="RUSUB_4:func.1">dim</a> <font color="Olive" title="b1">V</font> iff  for <font color="Olive" title="b3">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">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="card_1.html#K1" title="CARD_1:func.1">card</a> <font color="Olive" title="b3">I</font> );<br/></span></div>
