<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E25">Def6</font></span>   defines <a href="filter_0.html#V3" title="FILTER_0:attr.3">implicative</a> <a onclick="hs(this)" href="javascript:()">FILTER_0:def 6 : <br/></a><span> for <font color="Olive" title="b1">IT</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="lattices.html#L3" title="LATTICES:struct.3">LattStr</a>  holds <br/> ( <font color="Olive" title="b1">IT</font> is  <a href="filter_0.html#V3" title="FILTER_0:attr.3">implicative</a>  iff  for <font color="Olive" title="b2">p</font>, <font color="Olive" title="b3">q</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">r</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="b2">p</font> <a href="lattices.html#K2" title="LATTICES:func.2">"/\"</a> <font color="Olive" title="b4">r</font> <a href="lattices.html#R1" title="LATTICES:pred.1">[=</a> <font color="Olive" title="b3">q</font> &amp; (  for <font color="Olive" title="b5">r1</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="b2">p</font> <a href="lattices.html#K2" title="LATTICES:func.2">"/\"</a> <font color="Olive" title="b5">r1</font> <a href="lattices.html#R1" title="LATTICES:pred.1">[=</a> <font color="Olive" title="b3">q</font> holds <br/><font color="Olive" title="b5">r1</font> <a href="lattices.html#R1" title="LATTICES:pred.1">[=</a> <font color="Olive" title="b4">r</font> ) ) );<br/></span></div>
