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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E3">Th5</font></span>: <a NAME="T5"><span class="comment"><font color="firebrick">:: FILTER_2:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">D</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">S</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Olive" title="b1">D</font><br/>  for <font color="Olive" title="b3">f1</font>, <font color="Olive" title="b4">f2</font> being   <a href="binop_1.html#NM2" title="BINOP_1:NM.2">BinOp</a> of <font color="Olive" title="b1">D</font><br/>  for <font color="Olive" title="b5">g1</font>, <font color="Olive" title="b6">g2</font> being   <a href="binop_1.html#NM2" title="BINOP_1:NM.2">BinOp</a> of <font color="Olive" title="b2">S</font>  st <font color="Olive" title="b5">g1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">f1</font> <a href="realset1.html#K1" title="REALSET1:func.1">||</a> <font color="Olive" title="b2">S</font> &amp; <font color="Olive" title="b6">g2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">f2</font> <a href="realset1.html#K1" title="REALSET1:func.1">||</a> <font color="Olive" title="b2">S</font> &amp; <font color="Olive" title="b3">f1</font> <a href="lattice2.html#R1" title="LATTICE2:pred.1">absorbs</a> <font color="Olive" title="b4">f2</font> holds <br/><font color="Olive" title="b5">g1</font> <a href="lattice2.html#R1" title="LATTICE2:pred.1">absorbs</a> <font color="Olive" title="b6">g2</font></div></div>
