<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="group_23.html#K14" title="GROUP_23:func.14">product</a> <a onclick="hs(this)" href="javascript:()">GROUP_23:def 15 : <br/></a><span> for <font color="Olive" title="b1">I</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">F</font> being   <a href="group_19.html#NM1" title="GROUP_19:NM.1">Group-Family</a> of <font color="Olive" title="b1">I</font><br/>  for <font color="Olive" title="b3">S</font> being   <a href="group_23.html#NM2" title="GROUP_23:NM.2">Subgroup-Family</a> of <font color="Olive" title="b2">F</font> holds   <a href="group_23.html#K14" title="GROUP_23:func.14">product</a> <font color="Olive" title="b3">S</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="group_7.html#K2" title="GROUP_7:func.2">product</a> <font color="Olive" title="b3">S</font>;<br/></span></div>
