<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="quantal1.html#V15" title="QUANTAL1:attr.15">\/-distributive</a> <a onclick="hs(this)" href="javascript:()">QUANTAL1:def 13 : <br/></a><span> for <font color="Olive" title="b1">L</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> <br/>  for <font color="Olive" title="b2">IT</font> being   <a href="struct_0.html#NM14" title="STRUCT_0:NM.14">UnOp</a> of <font color="Olive" title="b1">L</font> holds <br/> ( <font color="Olive" title="b2">IT</font> is  <a href="quantal1.html#V15" title="QUANTAL1:attr.15">\/-distributive</a>  iff  for <font color="Olive" title="b3">X</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">L</font> holds  <font color="Olive" title="b2">IT</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><a href="lattice3.html#NK17" title="LATTICE3:NK.17">"\/"</a> <font color="Olive" title="b3">X</font></span>)</span> <a href="lattices.html#R1" title="LATTICES:pred.1">[=</a>  <a href="lattice3.html#K15" title="LATTICE3:func.15">"\/"</a> (<span class="p1"> { <span class="default"> <span class="p2">(<span class="default"><font color="Olive" title="b2">IT</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b4">a</font></span>)</span> where <font color="Olive" title="b4">a</font> is   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L</font> : <font color="Olive" title="b4">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">X</font> </span> } </span> ,<font color="Olive" title="b1">L</font>) );<br/></span></div>
