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<div><span class="kw">theorem </span><a NAME="T68"><span class="comment"><font color="firebrick">:: MOEBIUS3:68</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <span class="p1">(<span class="default"><a href="series_1.html#K3" title="SERIES_1:func.3">Partial_Sums</a> <span class="p2">(<span class="default"><a href="basel_1.html#K2" title="BASEL_1:func.2">rseq</a> (<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,1,1,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">n</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="series_1.html#K3" title="SERIES_1:func.3">Partial_Sums</a> <a href="moebius3.html#K8" title="MOEBIUS3:func.8">Reci-Sqf</a></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">n</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="series_1.html#K3" title="SERIES_1:func.3">Partial_Sums</a> <a href="moebius3.html#K9" title="MOEBIUS3:func.9">Reci-TSq</a></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">n</font></span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="series_3.html#T39" onmouseover="rs('series_3/T39')" onmouseout="rh()">SERIES_3:39</a>, <a class="ref" href="moebius3.html#T65" target="_self" onmouseover="rs('moebius3/T65')" onmouseout="rh()">Seqs1</a>, <a class="ref" href="moebius3.html#T66" target="_self" onmouseover="rs('moebius3/T66')" onmouseout="rh()">Seqs4</a>, <a class="ref" href="moebius3.html#T64" target="_self" onmouseover="rs('moebius3/T64')" onmouseout="rh()">Core1</a></span>;<br/></div></div>
