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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E35">Th43</font></span>: <a NAME="T43"><span class="comment"><font color="firebrick">:: MESFUN11:43</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">seq</font> being   <a href="mesfunc5.html#NM1" title="MESFUNC5:NM.1">ExtREAL_sequence</a><br/>  for <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <span class="p1">(<span class="default"><a href="mesfunc9.html#K1" title="MESFUNC9:func.1">Partial_Sums</a> <span class="p2">(<span class="default"><a href="dblseq_3.html#K1" title="DBLSEQ_3:func.1">-</a> <font color="Olive" title="b1">seq</font></span>)</span></span>)</span> <a href="supinf_2.html#K12" title="SUPINF_2:func.12">.</a> <font color="Olive" title="b2">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="supinf_2.html#K2" title="SUPINF_2:func.2">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="mesfunc9.html#K1" title="MESFUNC9:func.1">Partial_Sums</a> <font color="Olive" title="b1">seq</font></span>)</span> <a href="supinf_2.html#K12" title="SUPINF_2:func.12">.</a> <font color="Olive" title="b2">n</font></span>)</span></div></div>
