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<span class="kw">set </span><font color="Maroon" title="c1">X</font> =  the    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> ;<br/>
<a NAME="E1:57_1_1"/>
(  <a href="lattice3.html#K1" title="LATTICE3:func.1">BooleLatt</a>  the    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  is  <a href="lattice3.html#V4" title="LATTICE3:attr.4">complete</a>  &amp;  <a href="lattice3.html#K1" title="LATTICE3:func.1">BooleLatt</a>  the    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  is  <a href="lattice3.html#V5" title="LATTICE3:attr.5">\/-distributive</a>  &amp;  <a href="lattice3.html#K1" title="LATTICE3:func.1">BooleLatt</a>  the    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  is  <a href="lattice3.html#V6" title="LATTICE3:attr.6">/\-distributive</a>  )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="lattice3.html#T26" target="_self" onmouseover="rs('lattice3/T26')" onmouseout="rh()">Th26</a>, <a class="ref" href="lattice3.html#T27" target="_self" onmouseover="rs('lattice3/T27')" onmouseout="rh()">Th27</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:57_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being   <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a> st <br/>( <font color="Olive">b<sub>1</sub></font> is  <a href="lattice3.html#V4" title="LATTICE3:attr.4">complete</a>  &amp; <font color="Olive">b<sub>1</sub></font> is  <a href="lattice3.html#V5" title="LATTICE3:attr.5">\/-distributive</a>  &amp; <font color="Olive">b<sub>1</sub></font> is  <a href="lattice3.html#V6" title="LATTICE3:attr.6">/\-distributive</a>  &amp; <font color="Olive">b<sub>1</sub></font> is  <a href="lattices.html#V3" title="LATTICES:attr.3">strict</a>  )
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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