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<div><span class="kw">theorem </span><a NAME="T37"><span class="comment"><font color="firebrick">:: RVSUM_1:37</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">i</font> being   <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a>   <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">Number</a> <br/>  for <font color="Olive" title="b2">R</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of <font color="Olive" title="b1">i</font> <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> holds  <font color="Olive" title="b2">R</font> <a href="rvsum_1.html#K9" title="RVSUM_1:func.9">-</a> <font color="Olive" title="b2">R</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">i</font> <a href="finseq_2.html#K5" title="FINSEQ_2:func.5">|-&gt;</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <span class="kw">by</span> <span class="lab"><a class="ref" href="rvsum_1.html#T8" target="_self" onmouseover="rs('rvsum_1/T8')" onmouseout="rh()">Th8</a>, <a class="ref" href="rvsum_1.html#T9" target="_self" onmouseover="rs('rvsum_1/T9')" onmouseout="rh()">Th9</a>, <a class="ref" href="binop_2.html#T2" onmouseover="rs('binop_2/T2')" onmouseout="rh()">BINOP_2:2</a>, <a class="ref" href="finseqop.html#T73" onmouseover="rs('finseqop/T73')" onmouseout="rh()">FINSEQOP:73</a></span>;<br/></div></div>
