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<span class="kw">consider </span><font color="Maroon" title="c1">A</font> being  non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="orders_2.html#V1" title="ORDERS_2:attr.1">strict</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>;<br/>
<span class="kw">take </span>
<font color="Maroon" title="c1">A</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">A</font> is  <a href="lattice3.html#V3" title="LATTICE3:attr.3">complete</a>  &amp; <font color="Maroon" title="c1">A</font> is  <a href="lattice3.html#V1" title="LATTICE3:attr.1">with_suprema</a>  &amp; <font color="Maroon" title="c1">A</font> is  <a href="lattice3.html#V2" title="LATTICE3:attr.2">with_infima</a>  &amp; <font color="Maroon" title="c1">A</font> is  <a href="orders_2.html#V1" title="ORDERS_2:attr.1">strict</a>  &amp; not <font color="Maroon" title="c1">A</font> is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E2:33_1_1"/>
( <font color="Maroon" title="c1">A</font> is  <a href="lattice3.html#V3" title="LATTICE3:attr.3">complete</a>  &amp; <font color="Maroon" title="c1">A</font> is  <a href="lattice3.html#V1" title="LATTICE3:attr.1">with_suprema</a>  &amp; <font color="Maroon" title="c1">A</font> is  <a href="lattice3.html#V2" title="LATTICE3:attr.2">with_infima</a>  &amp; <font color="Maroon" title="c1">A</font> is  <a href="orders_2.html#V1" title="ORDERS_2:attr.1">strict</a>  &amp; not <font color="Maroon" title="c1">A</font> is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="lattice3.html#T12" target="_self" title="LATTICE3:th.12">Th12</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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