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<span class="kw">take </span><font color="Maroon" title="c1">L</font> =  the   <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>  <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</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"> ( <font color="Maroon" title="c1">L</font> is  <a href="latwal_1.html#V1" title="LATWAL_1:attr.1">satisfying_W3</a>  &amp; <font color="Maroon" title="c1">L</font> is  <a href="latwal_1.html#V2" title="LATWAL_1:attr.2">satisfying_W3'</a>  &amp; <font color="Maroon" title="c1">L</font> is  <a href="robbins1.html#V7" title="ROBBINS1:attr.7">join-idempotent</a>  &amp; <font color="Maroon" title="c1">L</font> is  <a href="sheffer1.html#V5" title="SHEFFER1:attr.5">meet-idempotent</a>  &amp; <font color="Maroon" title="c1">L</font> is  <a href="lattices.html#V4" title="LATTICES:attr.4">join-commutative</a>  &amp; <font color="Maroon" title="c1">L</font> is  <a href="lattices.html#V6" title="LATTICES:attr.6">meet-commutative</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E1:13_1_1"/>
( <font color="Maroon" title="c1">L</font> is  <a href="latwal_1.html#V1" title="LATWAL_1:attr.1">satisfying_W3</a>  &amp; <font color="Maroon" title="c1">L</font> is  <a href="latwal_1.html#V2" title="LATWAL_1:attr.2">satisfying_W3'</a>  &amp; <font color="Maroon" title="c1">L</font> is  <a href="robbins1.html#V7" title="ROBBINS1:attr.7">join-idempotent</a>  &amp; <font color="Maroon" title="c1">L</font> is  <a href="sheffer1.html#V5" title="SHEFFER1:attr.5">meet-idempotent</a>  &amp; <font color="Maroon" title="c1">L</font> is  <a href="lattices.html#V4" title="LATTICES:attr.4">join-commutative</a>  &amp; <font color="Maroon" title="c1">L</font> is  <a href="lattices.html#V6" title="LATTICES:attr.6">meet-commutative</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="struct_0.html#D10" onmouseover="rs('struct_0/D10')" onmouseout="rh()">STRUCT_0:def 10</a></span>; <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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