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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E19">Th45</font></span>: <a NAME="T45"><span class="comment"><font color="firebrick">:: MMLQUERY:45</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">O</font> being   <a href="mmlquery.html#NM2" title="MMLQUERY:NM.2">Operation</a> of <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive" title="b2">O</font> is  <a href="mmlquery.html#V1" title="MMLQUERY:attr.1">filtering</a>  iff <font color="Olive" title="b2">O</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="relat_1.html#K4" title="RELAT_1:func.4">id</a> <span class="p1">(<span class="default"><a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive" title="b2">O</font></span>)</span> )</div></div>
