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<div><span class="kw">theorem </span><a NAME="T20"><span class="comment"><font color="firebrick">:: NORMSP_4:20</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">x</font> being   <a href="struct_0.html#NM9" title="STRUCT_0:NM.9">sequence</a> of <font color="Olive" title="b1">X</font> holds   <a href="normsp_4.html#K1" title="NORMSP_4:func.1">RAT_Sums</a> <span class="p1">(<span class="default"><a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b2">x</font></span>)</span> is   <a href="normsp_3.html#V1" title="NORMSP_3:attr.1">dense</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="normsp_3.html#K19" title="NORMSP_3:func.19">ClNLin</a> <span class="p2">(<span class="default"><a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b2">x</font></span>)</span></span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="normsp_4.html#T15" target="_self" onmouseover="rs('normsp_4/T15')" onmouseout="rh()">Th19</a>, <a class="txt" href="normsp_4.html#E26"><span class="lab"><font color="Green" title="E24">Th25</font></span></a></span>;<br/></div></div>
