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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E16">Th15</font></span>: <a NAME="T15"><span class="comment"><font color="firebrick">:: CLOPBAN3:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="clvect_1.html#NM5" title="CLVECT_1:NM.5">ComplexNormSpace</a><br/>  for <font color="Olive" title="b2">s1</font>, <font color="Olive" title="b3">s2</font> being   <a href="struct_0.html#NM9" title="STRUCT_0:NM.9">sequence</a> of <font color="Olive" title="b1">X</font> holds  <span class="p1">(<span class="default"><a href="bhsp_4.html#K1" title="BHSP_4:func.1">Partial_Sums</a> <font color="Olive" title="b2">s1</font></span>)</span> <a href="normsp_1.html#K1" title="NORMSP_1:func.1">+</a> <span class="p1">(<span class="default"><a href="bhsp_4.html#K1" title="BHSP_4:func.1">Partial_Sums</a> <font color="Olive" title="b3">s2</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="bhsp_4.html#K1" title="BHSP_4:func.1">Partial_Sums</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">s1</font> <a href="normsp_1.html#K1" title="NORMSP_1:func.1">+</a> <font color="Olive" title="b3">s2</font></span>)</span></div></div>
