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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E21">Th20</font></span>: <a NAME="T20"><span class="comment"><font color="firebrick">:: LOPBAN_3:20</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive" title="b2">seq</font> being   <a href="lopban_3.html#V1" title="LOPBAN_3:attr.1">summable</a>  <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">z</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> holds <br/> ( <font color="Olive" title="b3">z</font> <a href="normsp_1.html#K4" title="NORMSP_1:func.4">*</a> <font color="Olive" title="b2">seq</font> is  <a href="lopban_3.html#V1" title="LOPBAN_3:attr.1">summable</a>  &amp;  <a href="lopban_3.html#K1" title="LOPBAN_3:func.1">Sum</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">z</font> <a href="normsp_1.html#K4" title="NORMSP_1:func.4">*</a> <font color="Olive" title="b2">seq</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">z</font> <a href="rlvect_1.html#K1" title="RLVECT_1:func.1">*</a> <span class="p1">(<span class="default"><a href="lopban_3.html#K1" title="LOPBAN_3:func.1">Sum</a> <font color="Olive" title="b2">seq</font></span>)</span> )</div></div>
