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<div><span class="kw">theorem </span><a NAME="T16"><span class="comment"><font color="firebrick">:: LATTICE7:16</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  <a href="waybel_0.html#NM8" title="WAYBEL_0:NM.8">LATTICE</a> holds <br/> ( <font color="Olive" title="b1">L</font> is  <a href="waybel_1.html#V2" title="WAYBEL_1:attr.2">distributive</a>  iff  ex <font color="Olive" title="b2">X</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="lattice7.html#M2" title="LATTICE7:mode.2">Ring_of_sets</a>  st <font color="Olive" title="b1">L</font>, <a href="yellow_1.html#K1" title="YELLOW_1:func.1">InclPoset</a> <font color="Olive" title="b2">X</font> <a href="waybel_1.html#R5" title="WAYBEL_1:pred.5">are_isomorphic</a>  )</div></div>
