<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E20">Th16</font></span>: <a NAME="T16"><span class="comment"><font color="firebrick">:: GROUP_22:16</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a><br/>  for <font color="Olive" title="b2">H</font> being    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Olive" title="b1">G</font><br/>  for <font color="Olive" title="b3">phi</font> being   <a href="group_22.html#NM2" title="GROUP_22:NM.2">Automorphism</a> of <font color="Olive" title="b1">G</font>  st (  for <font color="Olive" title="b4">f</font> being   <a href="group_22.html#NM2" title="GROUP_22:NM.2">Automorphism</a> of <font color="Olive" title="b1">G</font> holds   <a href="group_6.html#K10" title="GROUP_6:func.10">Image</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">f</font> <a href="grsolv_1.html#K1" title="GRSOLV_1:func.1">|</a> <font color="Olive" title="b2">H</font></span>)</span> is    <a href="group_6.html#M1" title="GROUP_6:mode.1">Subgroup</a> of <font color="Olive" title="b2">H</font> ) holds <br/> ex <font color="Olive" title="b4">psi</font> being   <a href="group_22.html#NM2" title="GROUP_22:NM.2">Automorphism</a> of <font color="Olive" title="b1">G</font> st <br/>( <font color="Olive" title="b4">psi</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Olive" title="b3">phi</font> <a href="funct_2.html#K2" title="FUNCT_2:func.2">"</a>  &amp;  <a href="group_6.html#K10" title="GROUP_6:func.10">Image</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">phi</font> <a href="grsolv_1.html#K1" title="GRSOLV_1:func.1">|</a> <span class="p2">(<span class="default"><a href="group_6.html#K10" title="GROUP_6:func.10">Image</a> <span class="p3">(<span class="default"><font color="Olive" title="b4">psi</font> <a href="grsolv_1.html#K1" title="GRSOLV_1:func.1">|</a> <font color="Olive" title="b2">H</font></span>)</span></span>)</span></span>)</span> is    <a href="group_6.html#M1" title="GROUP_6:mode.1">Subgroup</a> of  <a href="group_6.html#K10" title="GROUP_6:func.10">Image</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">phi</font> <a href="grsolv_1.html#K1" title="GRSOLV_1:func.1">|</a> <font color="Olive" title="b2">H</font></span>)</span> )</div></div>
