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<div><span class="kw">theorem </span><a NAME="T46"><span class="comment"><font color="firebrick">:: RUSUB_5:46</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">v</font> being   <a href="rlvect_1.html#NM1" title="RLVECT_1:NM.1">VECTOR</a> of <font color="Olive" title="b1">V</font><br/>  for <font color="Olive" title="b3">r</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st <font color="Olive" title="b3">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  holds <br/> <a href="bhsp_2.html#K4" title="BHSP_2:func.4">Ball</a> (<font color="Olive" title="b2">v</font>,<font color="Olive" title="b3">r</font>) is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> </div></div>
