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<div><span class="kw">theorem </span><a NAME="T49"><span class="comment"><font color="firebrick">:: DBLSEQ_3:49</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">f</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>,<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<a href="numbers.html#K6" title="NUMBERS:func.6">ExtREAL</a>  st (  not <font color="Olive" title="b1">f</font> is <a href="mesfunc5.html#V3" title="MESFUNC5:attr.3">V183</a>() or  not <font color="Olive" title="b1">f</font> is <a href="mesfunc5.html#V4" title="MESFUNC5:attr.4">V184</a>() ) holds <br/> <a href="dblseq_3.html#K11" title="DBLSEQ_3:func.11">Partial_Sums</a> <font color="Olive" title="b1">f</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="dblseq_3.html#K10" title="DBLSEQ_3:func.10">Partial_Sums_in_cod1</a> <span class="p1">(<span class="default"><a href="dblseq_3.html#K9" title="DBLSEQ_3:func.9">Partial_Sums_in_cod2</a> <font color="Olive" title="b1">f</font></span>)</span> <span class="kw">by</span> <span class="lab"><a class="txt" href="dblseq_3.html#E72"><span class="lab"><font color="Green" title="E41">Lm8</font></span></a>, <a class="txt" href="dblseq_3.html#E73"><span class="lab"><font color="Green" title="E42">Lm9</font></span></a></span>;<br/></div></div>
