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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E53">Th56</font></span>: <a NAME="T56"><span class="comment"><font color="firebrick">:: WAYBEL_2:56</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">H</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="lattice3.html#V3" title="LATTICE3:attr.3">complete</a>  <a href="orders_2.html#NM1" title="ORDERS_2:NM.1">Poset</a> holds <br/> ( <font color="Olive" title="b1">H</font> is  <a href="waybel_1.html#V9" title="WAYBEL_1:attr.9">Heyting</a>  iff ( <font color="Olive" title="b1">H</font> is  <a href="waybel_2.html#V2" title="WAYBEL_2:attr.2">meet-continuous</a>  &amp; <font color="Olive" title="b1">H</font> is  <a href="waybel_1.html#V2" title="WAYBEL_1:attr.2">distributive</a>  ) )</div></div>
