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<b>let </b><font color="Maroon">L</font> be  non <a href="struct_0.html#V3">empty</a> <a href="lattices.html#V4">join-commutative</a> <a href="lattices.html#V6">meet-commutative</a> <a href="lattices.html#V11">distributive</a> <a href="robbins1.html#V6">join-idempotent</a> <a href="sheffer1.html#V1" target="_self">upper-bounded'</a> <a href="sheffer1.html#V2" target="_self">lower-bounded'</a> <a href="sheffer1.html#V3" target="_self">distributive'</a> <a href="sheffer1.html#V4" target="_self">complemented'</a>  <a href="lattices.html#L3">LattStr</a> ;<br/>

<a NAME="E1:28"/><i><font color="Green">E22</font></i>: 
<font color="Maroon">L</font> is <a href="lattices.html#V14">upper-bounded</a>
 
<b>by </b><i/>;<br/>
<b>set </b><font color="Maroon">Y</font> =  <a href="sheffer1.html#K1" target="_self">Top'</a> <font color="Maroon">L</font>;<br/>
<a NAME="E2:28"/>
for <font color="Olive">a</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font> holds <br/> ( <span class="p1">(<span class="default"><a href="sheffer1.html#K1" target="_self">Top'</a> <font color="Maroon">L</font></span>)</span> <a href="lattices.html#K3">"\/"</a> <font color="Olive">a</font> <a href="hidden.html#R1">=</a>  <a href="sheffer1.html#K1" target="_self">Top'</a> <font color="Maroon">L</font> &amp; <font color="Olive">a</font> <a href="lattices.html#K3">"\/"</a> <span class="p1">(<span class="default"><a href="sheffer1.html#K1" target="_self">Top'</a> <font color="Maroon">L</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="sheffer1.html#K1" target="_self">Top'</a> <font color="Maroon">L</font> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:28"/>
 <a href="lattices.html#K6">Top</a> <font color="Maroon">L</font> <a href="hidden.html#R1">=</a>  <a href="sheffer1.html#K1" target="_self">Top'</a> <font color="Maroon">L</font>
 <b>by </b><i><a class="ref" href="sheffer1.html#D3" target="_self">Def3</a>, <a class="ref" href="lattices.html#D17">LATTICES:def 17</a></i>;<br/>


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