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<div><span class="kw">theorem </span><a NAME="T31"><span class="comment"><font color="firebrick">:: FLEXARY1:31</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>  ex <font color="Olive" title="b2">f</font> being   <a href="valued_0.html#V4" title="VALUED_0:attr.4">natural-valued</a>   <a href="valued_0.html#V5" title="VALUED_0:attr.5">increasing</a>  <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a> st <font color="Olive" title="b1">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">2 <a href="flexary1.html#K4" title="FLEXARY1:func.4">|^</a> <font color="Olive" title="b2">f</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default">(<span class="p2">(<span class="default">2 <a href="flexary1.html#K4" title="FLEXARY1:func.4">|^</a> <font color="Olive" title="b2">f</font></span>)</span>,2) <a href="flexary1.html#K3" title="FLEXARY1:func.3">+...</a></span>)</span></div></div>
