<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T49"><span class="comment"><font color="firebrick">:: GROUP_2:49</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   <a href="group_1.html#K3" title="GROUP_1:func.3">inverse_op</a> <font color="Olive" title="b2">H</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="group_1.html#K3" title="GROUP_1:func.3">inverse_op</a> <font color="Olive" title="b1">G</font></span>)</span> <a href="relset_1.html#K5" title="RELSET_1:func.5">|</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">H</font></div></div>
