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<div><span class="kw">theorem </span><a NAME="T44"><span class="comment"><font color="firebrick">:: MMLQUERY:44</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>, <font color="Olive" title="b3">O1</font>, <font color="Olive" title="b4">O2</font> being   <a href="mmlquery.html#NM2" title="MMLQUERY:NM.2">Operation</a> of <font color="Olive" title="b1">X</font>  st  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive" title="b3">O1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">X</font> &amp;  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive" title="b4">O2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">X</font> holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b3">O1</font> <a href="mmlquery.html#K20" title="MMLQUERY:func.20">OR</a> <font color="Olive" title="b4">O2</font></span>)</span> <a href="mmlquery.html#K23" title="MMLQUERY:func.23">\&amp;</a> <font color="Olive" title="b2">O</font> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">O1</font> <a href="mmlquery.html#K23" title="MMLQUERY:func.23">\&amp;</a> <font color="Olive" title="b2">O</font></span>)</span> <a href="mmlquery.html#K19" title="MMLQUERY:func.19">AND</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">O2</font> <a href="mmlquery.html#K23" title="MMLQUERY:func.23">\&amp;</a> <font color="Olive" title="b2">O</font></span>)</span></div></div>
