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<div><span class="kw">theorem </span><a NAME="T46"><span class="comment"><font color="firebrick">:: ARMSTRNG:46</font></span><br/></a><div class="add"> 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#NM5" title="ARMSTRNG:NM.5">Full-family</a> of <font color="Olive" title="b1">X</font>  ex <font color="Olive" title="b3">R</font> being    <a href="armstrng.html#L1" title="ARMSTRNG:struct.1">DB-Rel</a>  st <br/>(  the <a href="armstrng.html#U1" title="ARMSTRNG:sel.1">Attributes</a> of <font color="Olive" title="b3">R</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">X</font> &amp; (  for <font color="Olive" title="b4">a</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">X</font> holds   the <a href="armstrng.html#U2" title="ARMSTRNG:sel.2">Domains</a> of <font color="Olive" title="b3">R</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a>  ) &amp; <font color="Olive" title="b2">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="armstrng.html#K5" title="ARMSTRNG:func.5">Dependency-str</a> <font color="Olive" title="b3">R</font> )</div></div>
