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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E34">Th42</font></span>: <a NAME="T42"><span class="comment"><font color="firebrick">:: MESFUN11:42</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">F</font> being   <a href="seqfunc.html#NM1" title="SEQFUNC:NM.1">Functional_Sequence</a> of <font color="Olive" title="b1">X</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">ExtREAL</a><br/>  for <font color="Olive" title="b3">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#K3" title="MESFUNC9:func.3">Partial_Sums</a> <span class="p2">(<span class="default"><a href="mesfun11.html#K3" title="MESFUN11:func.3">-</a> <font color="Olive" title="b2">F</font></span>)</span></span>)</span> <a href="mesfunc5.html#K4" title="MESFUNC5:func.4">.</a> <font color="Olive" title="b3">n</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><a href="mesfun11.html#K3" title="MESFUN11:func.3">-</a> <span class="p2">(<span class="default"><a href="mesfunc9.html#K3" title="MESFUNC9:func.3">Partial_Sums</a> <font color="Olive" title="b2">F</font></span>)</span></span>)</span> <a href="mesfunc5.html#K4" title="MESFUNC5:func.4">.</a> <font color="Olive" title="b3">n</font></div></div>
