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<div><span class="kw">theorem </span><a NAME="T18"><span class="comment"><font color="firebrick">:: MESFUNC3:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#K6" title="NUMBERS:func.6">ExtREAL</a> <br/>  for <font color="Olive" title="b2">p</font>, <font color="Olive" title="b3">N</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K6" title="NUMBERS:func.6">ExtREAL</a>   st <font color="Olive" title="b3">N</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b1">a</font> &amp; (  for <font color="Olive" title="b4">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b4">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b1">a</font> holds <br/><font color="Olive" title="b1">a</font> <a href="supinf_2.html#K12" title="SUPINF_2:func.12">.</a> <font color="Olive" title="b4">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">p</font> ) holds <br/> <a href="extreal1.html#K4" title="EXTREAL1:func.4">Sum</a> <font color="Olive" title="b1">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">N</font> <a href="extreal1.html#K1" title="EXTREAL1:func.1">*</a> <font color="Olive" title="b2">p</font> <span class="kw">by</span> <span class="lab"><a class="txt" href="mesfunc3.html#E15"><span class="lab"><font color="Green" title="E13">Lm1</font></span></a></span>;<br/></div></div>
