<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T10"><span class="comment"><font color="firebrick">:: ALTCAT_5:10</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">E</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>   st (  for <font color="Olive" title="b2">I</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">A</font> being   <a href="altcat_5.html#NM1" title="ALTCAT_5:NM.1">ObjectsFamily</a> of <font color="Olive" title="b2">I</font>,<span class="p1">(<span class="default"><a href="altcat_1.html#K7" title="ALTCAT_1:func.7">EnsCat</a> <font color="Olive" title="b1">E</font></span>)</span> holds   <a href="card_3.html#K4" title="CARD_3:func.4">product</a> <font color="Olive" title="b3">A</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">E</font> ) holds <br/> <a href="altcat_1.html#K7" title="ALTCAT_1:func.7">EnsCat</a> <font color="Olive" title="b1">E</font> is  <a href="altcat_5.html#V4" title="ALTCAT_5:attr.4">with_products</a> </div></div>
