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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E19">Th18</font></span>: <a NAME="T18"><span class="comment"><font color="firebrick">:: LOPBAN_3:18</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">seq1</font>, <font color="Olive" title="b3">seq2</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">seq1</font> is  <a href="lopban_3.html#V1" title="LOPBAN_3:attr.1">summable</a>  &amp; <font color="Olive" title="b3">seq2</font> is  <a href="lopban_3.html#V1" title="LOPBAN_3:attr.1">summable</a>  holds <br/>( <font color="Olive" title="b2">seq1</font> <a href="normsp_1.html#K2" title="NORMSP_1:func.2">-</a> <font color="Olive" title="b3">seq2</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="b2">seq1</font> <a href="normsp_1.html#K2" title="NORMSP_1:func.2">-</a> <font color="Olive" title="b3">seq2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.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">seq1</font></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><a href="lopban_3.html#K1" title="LOPBAN_3:func.1">Sum</a> <font color="Olive" title="b3">seq2</font></span>)</span> )</div></div>
