<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E25">Th19</font></span>: <a NAME="T24"><span class="comment"><font color="firebrick">:: GROUP_23:24</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> holds <br/> (  <a href="group_23.html#K8" title="GROUP_23:func.8">incl</a> (<font color="Olive" title="b2">H</font>,<font color="Olive" title="b1">G</font>) is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  &amp;  <a href="group_6.html#K10" title="GROUP_6:func.10">Image</a> <span class="p1">(<span class="default"><a href="group_23.html#K8" title="GROUP_23:func.8">incl</a> (<font color="Olive" title="b2">H</font>,<font color="Olive" title="b1">G</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="algstr_0.html#G3" title="ALGSTR_0:aggr.3">multMagma</a>(#  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">H</font>, the <a href="algstr_0.html#U2" title="ALGSTR_0:sel.2">multF</a> of <font color="Olive" title="b2">H</font> #) )</div></div>
