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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E13">LM87</font></span>: <a NAME="T10"><span class="comment"><font color="firebrick">:: DUALSP05:10</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a><br/>  for <font color="Olive" title="b2">f</font> being   <a href="hahnban.html#NM1" title="HAHNBAN:NM.1">Functional</a> of <font color="Olive" title="b1">V</font><br/>  for <font color="Olive" title="b3">s</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Olive" title="b1">V</font>  st <font color="Olive" title="b2">f</font> is  <a href="hahnban.html#V2" title="HAHNBAN:attr.2">additive</a>  holds <br/><font color="Olive" title="b2">f</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K4" title="RLVECT_1:func.4">Sum</a> <font color="Olive" title="b3">s</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rvsum_1.html#K18" title="RVSUM_1:func.18">Sum</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">f</font> <a href="finseqop.html#K4" title="FINSEQOP:func.4">*</a> <font color="Olive" title="b3">s</font></span>)</span></div></div>
