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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E34">Th22</font></span>: <a NAME="T22"><span class="comment"><font color="firebrick">:: SIN_COS:22</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">seq</font> being   <a href="comseq_1.html#NM1" title="COMSEQ_1:NM.1">Complex_Sequence</a>  st (  for <font color="Olive" title="b4">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <font color="Olive" title="b3">seq</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b4">k</font> <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#K12" title="SIN_COS:func.12">Conj</a> (<font color="Olive" title="b4">k</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="b4">k</font> ) holds <br/>( <font color="Olive" title="b3">seq</font> is  <a href="comseq_2.html#V2" title="COMSEQ_2:attr.2">convergent</a>  &amp;  <a href="comseq_2.html#K3" title="COMSEQ_2:func.3">lim</a> <font color="Olive" title="b3">seq</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  )</div></div>
