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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E36">Th30</font></span>: <a NAME="T30"><span class="comment"><font color="firebrick">:: CLOPBAN4:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="clopban2.html#NM3" title="CLOPBAN2:NM.3">Complex_Banach_Algebra</a><br/>  for <font color="Olive" title="b2">w</font>, <font color="Olive" title="b3">z</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b4">k</font>, <font color="Olive" title="b5">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <span class="p1"><a href="complex1.html#K9" title="COMPLEX1:func.9">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="series_1.html#K3" title="SERIES_1:func.3">Partial_Sums</a> <span class="p4"><a href="normsp_0.html#K5" title="NORMSP_0:func.5">||.</a><span class="default"><span class="p5">(<span class="default"><a href="clopban4.html#K5" title="CLOPBAN4:func.5">Conj</a> (<font color="Olive" title="b4">k</font>,<font color="Olive" title="b3">z</font>,<font color="Olive" title="b2">w</font>)</span>)</span></span><a href="normsp_0.html#K5" title="NORMSP_0:func.5">.||</a></span></span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b5">n</font></span>)</span></span><a href="complex1.html#K9" title="COMPLEX1:func.9">.|</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="series_1.html#K3" title="SERIES_1:func.3">Partial_Sums</a> <span class="p2"><a href="normsp_0.html#K5" title="NORMSP_0:func.5">||.</a><span class="default"><span class="p3">(<span class="default"><a href="clopban4.html#K5" title="CLOPBAN4:func.5">Conj</a> (<font color="Olive" title="b4">k</font>,<font color="Olive" title="b3">z</font>,<font color="Olive" title="b2">w</font>)</span>)</span></span><a href="normsp_0.html#K5" title="NORMSP_0:func.5">.||</a></span></span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b5">n</font></div></div>
