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<div><span class="kw">theorem </span><a NAME="T14"><span class="comment"><font color="firebrick">:: MMLQUER2:14</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <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">O</font> being   <a href="mmlquery.html#NM2" title="MMLQUERY:NM.2">Operation</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">y</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive" title="b3">x</font>,<font color="Olive" title="b4">y</font> <a href="mmlquery.html#R1" title="MMLQUERY:pred.1">in</a>  <a href="mmlquer2.html#K3" title="MMLQUER2:func.3">value_of</a> <span class="p1">(<span class="default"><a href="mmlquer2.html#K4" title="MMLQUER2:func.4">number_of</a> <font color="Olive" title="b2">O</font></span>)</span> iff  <a href="card_1.html#K4" title="CARD_1:func.4">card</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">x</font> <a href="mmlquery.html#K1" title="MMLQUERY:func.1">.</a> <font color="Olive" title="b2">O</font></span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a>  <a href="card_1.html#K4" title="CARD_1:func.4">card</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">y</font> <a href="mmlquery.html#K1" title="MMLQUERY:func.1">.</a> <font color="Olive" title="b2">O</font></span>)</span> )</div></div>
