<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="group_10.html#V2" title="GROUP_10:attr.2">-group</a> <a onclick="hs(this)" href="javascript:()">GROUP_10:def 17 : <br/></a><span> for <font color="Olive" title="b1">p</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">G</font> being   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a> holds <br/> ( <font color="Olive" title="b2">G</font> is <font color="Olive" title="b1">p</font> <a href="group_10.html#V2" title="GROUP_10:attr.2">-group</a>  iff  ex <font color="Olive" title="b3">r</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st  <a href="struct_0.html#K7" title="STRUCT_0:func.7">card</a> <font color="Olive" title="b2">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">p</font> <a href="newton.html#K1" title="NEWTON:func.1">|^</a> <font color="Olive" title="b3">r</font> );<br/></span></div>
