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<span class="kw">reconsider </span><font color="Maroon" title="c2">h</font> =  <a href="comseq_3.html#K7" title="COMSEQ_3:func.7">Re</a> <font color="Maroon" title="c1">f</font> as   <a href="valued_0.html#V3" title="VALUED_0:attr.3">real-valued</a>  <a href="comseq_1.html#NM1" title="COMSEQ_1:NM.1">Complex_Sequence</a> <span class="kw">by</span> <span class="lab"><a class="ref" href="rvsum_4.html#T16" target="_self" onmouseover="rs('rvsum_4/T16')" onmouseout="rh()">RSC</a></span>;<br/>
<a NAME="E2:123_1_1"/>
 <a href="comseq_3.html#K10" title="COMSEQ_3:func.10">Partial_Sums</a> <font color="Maroon" title="c2">h</font> is  <a href="comseq_2.html#V2" title="COMSEQ_2:attr.2">convergent</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="series_1.html#D2" onmouseover="rs('series_1/D2')" onmouseout="rh()">SERIES_1:def 2</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:123_1_1"/>
 <a href="comseq_3.html#K3" title="COMSEQ_3:func.3">Re</a> <font color="Maroon" title="c1">f</font> is   <a href="valued_0.html#V3" title="VALUED_0:attr.3">real-valued</a>   <a href="comseq_3.html#V1" title="COMSEQ_3:attr.1">summable</a>  <a href="comseq_1.html#NM1" title="COMSEQ_1:NM.1">Complex_Sequence</a>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="comseq_3.html#D8" onmouseover="rs('comseq_3/D8')" onmouseout="rh()">COMSEQ_3:def 8</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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