<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E10">Def11</font></span>   defines <a href="lattice3.html#V2" title="LATTICE3:attr.2">with_infima</a> <a onclick="hs(this)" href="javascript:()">LATTICE3:def 11 : <br/></a><span> for <font color="Olive" title="b1">IT</font> being    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a>  holds <br/> ( <font color="Olive" title="b1">IT</font> is  <a href="lattice3.html#V2" title="LATTICE3:attr.2">with_infima</a>  iff  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">IT</font>  ex <font color="Olive" title="b4">z</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">IT</font> st <br/>( <font color="Olive" title="b4">z</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Olive" title="b2">x</font> &amp; <font color="Olive" title="b4">z</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Olive" title="b3">y</font> &amp; (  for <font color="Olive" title="b5">z9</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">IT</font>  st <font color="Olive" title="b5">z9</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Olive" title="b2">x</font> &amp; <font color="Olive" title="b5">z9</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Olive" title="b3">y</font> holds <br/><font color="Olive" title="b5">z9</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Olive" title="b4">z</font> ) ) );<br/></span></div>
