<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="waybel_0.html#V20" title="WAYBEL_0:attr.20">join-preserving</a> <a onclick="hs(this)" href="javascript:()">WAYBEL_0:def 35 : <br/></a><span> for <font color="Olive" title="b1">L1</font>, <font color="Olive" title="b2">L2</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive" title="b3">f</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">L1</font>,<font color="Olive" title="b2">L2</font> holds <br/> ( <font color="Olive" title="b3">f</font> is  <a href="waybel_0.html#V20" title="WAYBEL_0:attr.20">join-preserving</a>  iff  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 <font color="Olive" title="b1">L1</font> holds  <font color="Olive" title="b3">f</font> <a href="waybel_0.html#R4" title="WAYBEL_0:pred.4">preserves_sup_of</a> <span class="p1"><a href="domain_1.html#K7" title="DOMAIN_1:func.7">{</a><span class="default"><font color="Olive" title="b4">x</font>,<font color="Olive" title="b5">y</font></span><a href="domain_1.html#K7" title="DOMAIN_1:func.7">}</a></span> );<br/></span></div>
