<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T50"><span class="comment"><font color="firebrick">:: LATTAD_1:50</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="lattad_1.html#NM2" title="LATTAD_1:NM.2">GAD_Lattice</a><br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L</font><br/>  for <font color="Olive" title="b4">x</font>, <font color="Olive" title="b5">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="lattad_1.html#K7" title="LATTAD_1:func.7">LatRelStr</a> <font color="Olive" title="b1">L</font></span>)</span>  st <font color="Olive" title="b2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">x</font> &amp; <font color="Olive" title="b3">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">y</font> holds <br/>( <font color="Olive" title="b4">x</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Olive" title="b5">y</font> iff <font color="Olive" title="b2">a</font> <a href="lattices.html#R1" title="LATTICES:pred.1">[=</a> <font color="Olive" title="b3">b</font> ) <span class="kw">by</span> <span class="lab"><a class="ref" href="lattad_1.html#T27" target="_self" onmouseover="rs('lattad_1/T27')" onmouseout="rh()">OrdLat</a>, <a class="ref" href="orders_2.html#D5" onmouseover="rs('orders_2/D5')" onmouseout="rh()">ORDERS_2:def 5</a></span>;<br/></div></div>
