<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E8">Th7</font></span>: <a NAME="T7"><span class="comment"><font color="firebrick">:: RUSUB_4:7</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><br/>  for <font color="Olive" title="b2">W</font> being    <a href="rusub_1.html#M1" title="RUSUB_1:mode.1">Subspace</a> of <font color="Olive" title="b1">V</font>  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/><font color="Olive" title="b2">W</font> is  <a href="rusub_4.html#V1" title="RUSUB_4:attr.1">finite-dimensional</a> </div></div>
