<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E40">Def24</font></span>   defines <a href="armstrng.html#K12" title="ARMSTRNG:func.12">Dependency-closure</a> <a onclick="hs(this)" href="javascript:()">ARMSTRNG:def 24 : <br/></a><span> for <font color="Olive" title="b1">X</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">F</font> being   <a href="armstrng.html#NM2" title="ARMSTRNG:NM.2">Dependency-set</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive">b<sub>3</sub></font> being   <a href="armstrng.html#NM5" title="ARMSTRNG:NM.5">Full-family</a> of <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="armstrng.html#K12" title="ARMSTRNG:func.12">Dependency-closure</a> <font color="Olive" title="b2">F</font> iff ( <font color="Olive" title="b2">F</font> <a href="relset_1.html#R1" title="RELSET_1:pred.1">c=</a> <font color="Olive">b<sub>3</sub></font> &amp; (  for <font color="Olive" title="b4">G</font> being   <a href="armstrng.html#NM2" title="ARMSTRNG:NM.2">Dependency-set</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b2">F</font> <a href="relset_1.html#R1" title="RELSET_1:pred.1">c=</a> <font color="Olive" title="b4">G</font> &amp; <font color="Olive" title="b4">G</font> is  <a href="armstrng.html#V6" title="ARMSTRNG:attr.6">full_family</a>  holds <br/><font color="Olive">b<sub>3</sub></font> <a href="relset_1.html#R1" title="RELSET_1:pred.1">c=</a> <font color="Olive" title="b4">G</font> ) ) );<br/></span></div>
