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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E28">Th18</font></span>: <a NAME="T18"><span class="comment"><font color="firebrick">:: LOPBAN_4:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="lopban_2.html#NM3" title="LOPBAN_2:NM.3">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">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds   <a href="lopban_4.html#K6" title="LOPBAN_4:func.6">Expan_e</a> (<font color="Olive" title="b4">n</font>,<font color="Olive" title="b3">z</font>,<font color="Olive" title="b2">w</font>) <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default">1 <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <span class="p2">(<span class="default"><font color="Olive" title="b4">n</font> <a href="newton.html#K2" title="NEWTON:func.2">!</a></span>)</span></span>)</span> <a href="normsp_1.html#K4" title="NORMSP_1:func.4">*</a> <span class="p1">(<span class="default"><a href="lopban_4.html#K5" title="LOPBAN_4:func.5">Expan</a> (<font color="Olive" title="b4">n</font>,<font color="Olive" title="b3">z</font>,<font color="Olive" title="b2">w</font>)</span>)</span></div></div>
