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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E15">Th11</font></span>: <a NAME="T11"><span class="comment"><font color="firebrick">:: ARMSTRNG:11</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">P</font>, <font color="Olive" title="b3">Q</font> being   <a href="armstrng.html#NM3" title="ARMSTRNG:NM.3">Dependency</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b2">P</font> <a href="armstrng.html#NR6" title="ARMSTRNG:NR.6">&lt;=</a> <font color="Olive" title="b3">Q</font> &amp; <font color="Olive" title="b3">Q</font> <a href="armstrng.html#NR6" title="ARMSTRNG:NR.6">&lt;=</a> <font color="Olive" title="b2">P</font> holds <br/><font color="Olive" title="b2">P</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">Q</font></div></div>
