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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E6">Def8</font></span>   defines <a href="sheffer1.html#K3" title="SHEFFER1:func.3">`#</a> <a onclick="hs(this)" href="javascript:()">SHEFFER1:def 8 : <br/></a><span> for <font color="Olive" title="b1">L</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="lattices.html#L3" title="LATTICES:struct.3">LattStr</a> <br/>  for <font color="Olive" title="b2">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L</font>  st <font color="Olive" title="b1">L</font> is  <a href="sheffer1.html#V4" title="SHEFFER1:attr.4">complemented'</a>  &amp; <font color="Olive" title="b1">L</font> is  <a href="lattices.html#V11" title="LATTICES:attr.11">distributive</a>  &amp; <font color="Olive" title="b1">L</font> is  <a href="sheffer1.html#V1" title="SHEFFER1:attr.1">upper-bounded'</a>  &amp; <font color="Olive" title="b1">L</font> is  <a href="lattices.html#V6" title="LATTICES:attr.6">meet-commutative</a>  holds <br/> for <font color="Olive">b<sub>3</sub></font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">x</font> <a href="sheffer1.html#K3" title="SHEFFER1:func.3">`#</a>  iff <font color="Olive">b<sub>3</sub></font> <a href="sheffer1.html#R1" title="SHEFFER1:pred.1">is_a_complement'_of</a> <font color="Olive" title="b2">x</font> );<br/></span></div>
