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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E12">Th12</font></span>: <a NAME="T11"><span class="comment"><font color="firebrick">:: NORMSP_4:11</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a><br/>  for <font color="Olive" title="b2">A</font>, <font color="Olive" title="b3">B</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b2">A</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a> <font color="Olive" title="b3">B</font> holds <br/><span class="p1">(<span class="default"><a href="normsp_4.html#K1" title="NORMSP_4:func.1">RAT_Sums</a> <font color="Olive" title="b2">A</font></span>)</span> <a href="ideal_1.html#K12" title="IDEAL_1:func.12">+</a> <span class="p1">(<span class="default"><a href="normsp_4.html#K1" title="NORMSP_4:func.1">RAT_Sums</a> <font color="Olive" title="b3">B</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="normsp_4.html#K1" title="NORMSP_4:func.1">RAT_Sums</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">A</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Olive" title="b3">B</font></span>)</span></div></div>
