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<div><span class="kw">theorem </span><a NAME="T11"><span class="comment"><font color="firebrick">:: FILTER_1:11</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">F</font>, <font color="Olive" title="b4">G</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>  st <font color="Olive" title="b3">F</font> <a href="binop_1.html#R6" title="BINOP_1:pred.6">is_distributive_wrt</a> <font color="Olive" title="b4">G</font> holds <br/><font color="Olive" title="b3">F</font> <a href="filter_1.html#K3" title="FILTER_1:func.3">/\/</a> <font color="Olive" title="b2">RD</font> <a href="binop_1.html#R6" title="BINOP_1:pred.6">is_distributive_wrt</a> <font color="Olive" title="b4">G</font> <a href="filter_1.html#K3" title="FILTER_1:func.3">/\/</a> <font color="Olive" title="b2">RD</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="filter_1.html#T9" target="_self" onmouseover="rs('filter_1/T9')" onmouseout="rh()">Th9</a>, <a class="ref" href="filter_1.html#T10" target="_self" onmouseover="rs('filter_1/T10')" onmouseout="rh()">Th10</a></span>;<br/></div></div>
