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<div><span class="kw">theorem </span><a NAME="T11"><span class="comment"><font color="firebrick">:: BHSP_4:11</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="bhsp_1.html#NM1" title="BHSP_1:NM.1">RealUnitarySpace</a><br/>  for <font color="Olive" title="b2">seq</font> being   <a href="struct_0.html#NM9" title="STRUCT_0:NM.9">sequence</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b2">seq</font> is  <a href="bhsp_4.html#V1" title="BHSP_4:attr.1">summable</a>  holds <br/> <a href="bhsp_4.html#K1" title="BHSP_4:func.1">Partial_Sums</a> <font color="Olive" title="b2">seq</font> is  <a href="bhsp_3.html#V2" title="BHSP_3:attr.2">bounded</a>  ;<br/></div></div>
