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<div><span class="kw">theorem </span><a NAME="T38"><span class="comment"><font color="firebrick">:: BHSP_4:38</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><br/>  for <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <span class="p1"><a href="bhsp_1.html#K3" title="BHSP_1:func.3">||.</a><span class="default"><span class="p2">(<span class="default"><a href="bhsp_4.html#K3" title="BHSP_4:func.3">Sum</a> (<font color="Olive" title="b2">seq</font>,<font color="Olive" title="b3">n</font>)</span>)</span></span><a href="bhsp_1.html#K3" title="BHSP_1:func.3">.||</a></span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="series_1.html#K6" title="SERIES_1:func.6">Sum</a> (<span class="p1"><a href="bhsp_2.html#K2" title="BHSP_2:func.2">||.</a><span class="default"><font color="Olive" title="b2">seq</font></span><a href="bhsp_2.html#K2" title="BHSP_2:func.2">.||</a></span>,<font color="Olive" title="b3">n</font>) <span class="kw">by</span> <span class="lab"><a class="ref" href="bhsp_4.html#T37" target="_self" onmouseover="rs('bhsp_4/T37')" onmouseout="rh()">Th37</a></span>;<br/></div></div>
