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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E5">Th3</font></span>: <a NAME="T3"><span class="comment"><font color="firebrick">:: FILTER_1:3</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">RD</font> being   <a href="eqrel_1.html#NM2" title="EQREL_1:NM.2">Equivalence_Relation</a> of <font color="Olive" title="b1">D</font><br/>  for <font color="Olive" title="b3">a</font>, <font color="Olive" title="b4">b</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">D</font><br/>  for <font color="Olive" title="b5">F</font> being    <a href="filter_1.html#M2" title="FILTER_1:mode.2">BinOp</a> of <font color="Olive" title="b1">D</font>,<font color="Olive" title="b2">RD</font> holds  <span class="p1">(<span class="default"><font color="Olive" title="b5">F</font> <a href="filter_1.html#K3" title="FILTER_1:func.3">/\/</a> <font color="Olive" title="b2">RD</font></span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<span class="p1">(<span class="default"><a href="eqrel_1.html#K6" title="EQREL_1:func.6">Class</a> (<font color="Olive" title="b2">RD</font>,<font color="Olive" title="b3">a</font>)</span>)</span>,<span class="p1">(<span class="default"><a href="eqrel_1.html#K6" title="EQREL_1:func.6">Class</a> (<font color="Olive" title="b2">RD</font>,<font color="Olive" title="b4">b</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="eqrel_1.html#K6" title="EQREL_1:func.6">Class</a> (<font color="Olive" title="b2">RD</font>,<span class="p1">(<span class="default"><font color="Olive" title="b5">F</font> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> (<font color="Olive" title="b3">a</font>,<font color="Olive" title="b4">b</font>)</span>)</span>)</div></div>
