<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E20">Th8</font></span>: <a NAME="T8"><span class="comment"><font color="firebrick">:: SIN_COS:8</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">w</font>, <font color="Olive" title="b2">z</font> being   <a href="xcmplx_0.html#NM1" title="XCMPLX_0:NM.1">Complex</a><br/>  for <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b2">z</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b1">w</font></span>)</span> <a href="comseq_3.html#K2" title="COMSEQ_3:func.2">|^</a> <font color="Olive" title="b3">n</font></span>)</span> <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">n</font> <a href="newton.html#K2" title="NEWTON:func.2">!</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="comseq_3.html#K10" title="COMSEQ_3:func.10">Partial_Sums</a> <span class="p2">(<span class="default"><a href="sin_cos.html#K9" title="SIN_COS:func.9">Expan_e</a> (<font color="Olive" title="b3">n</font>,<font color="Olive" title="b2">z</font>,<font color="Olive" title="b1">w</font>)</span>)</span></span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b3">n</font></div></div>
