<?xml version="1.0"?>
<div class="add">

<span class="kw">let </span><font color="Maroon" title="c1">L</font> be    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</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="lattice3.html#V2" title="LATTICE3:attr.2">with_infima</a>  iff <font color="Maroon" title="c1">L</font> <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a>  is  <a href="lattice3.html#V1" title="LATTICE3:attr.1">with_suprema</a>  )</span><br/>

<a NAME="E1:20"/>
( <font color="Maroon" title="c1">L</font> is  <a href="lattice3.html#V2" title="LATTICE3:attr.2">with_infima</a>  iff <span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a></span>)</span> <a href="lattice3.html#K7" title="LATTICE3:func.7">~</a>  is  <a href="lattice3.html#V2" title="LATTICE3:attr.2">with_infima</a>  )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="yellow_7.html#T14" target="_self" onmouseover="rs('yellow_7/T14')" onmouseout="rh()">Th14</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:20"/>
( <font color="Maroon" title="c1">L</font> is  <a href="lattice3.html#V2" title="LATTICE3:attr.2">with_infima</a>  iff <font color="Maroon" title="c1">L</font> <a href="yellow_7.html#NK1" title="YELLOW_7:NK.1">opp</a>  is  <a href="lattice3.html#V1" title="LATTICE3:attr.1">with_suprema</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="lattice3.html#T10" onmouseover="rs('lattice3/T10')" onmouseout="rh()">LATTICE3:10</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/>


</div>
