<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T39"><span class="comment"><font color="firebrick">:: LOPBAN_4:39</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">z</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">X</font> holds <br/> (  <a href="lopban_4.html#K10" title="LOPBAN_4:func.10">exp</a> <font color="Olive" title="b2">z</font> is  <a href="algstr_0.html#V25" title="ALGSTR_0:attr.25">invertible</a>  &amp; <span class="p1">(<span class="default"><a href="lopban_4.html#K10" title="LOPBAN_4:func.10">exp</a> <font color="Olive" title="b2">z</font></span>)</span> <a href="algstr_0.html#K9" title="ALGSTR_0:func.9">"</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lopban_4.html#K10" title="LOPBAN_4:func.10">exp</a> <span class="p1">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Olive" title="b2">z</font></span>)</span> &amp;  <a href="lopban_4.html#K10" title="LOPBAN_4:func.10">exp</a> <span class="p1">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Olive" title="b2">z</font></span>)</span> is  <a href="algstr_0.html#V25" title="ALGSTR_0:attr.25">invertible</a>  &amp; <span class="p1">(<span class="default"><a href="lopban_4.html#K10" title="LOPBAN_4:func.10">exp</a> <span class="p2">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Olive" title="b2">z</font></span>)</span></span>)</span> <a href="algstr_0.html#K9" title="ALGSTR_0:func.9">"</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lopban_4.html#K10" title="LOPBAN_4:func.10">exp</a> <font color="Olive" title="b2">z</font> )</div></div>
