<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="waybel21.html#V1" title="WAYBEL21:attr.1">lim_infs-preserving</a> <a onclick="hs(this)" href="javascript:()">WAYBEL21:def 4 : <br/></a><span> for <font color="Olive" title="b1">S</font>, <font color="Olive" title="b2">T</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">S</font>,<font color="Olive" title="b2">T</font> holds <br/> ( <font color="Olive" title="b3">f</font> is  <a href="waybel21.html#V1" title="WAYBEL21:attr.1">lim_infs-preserving</a>  iff  for <font color="Olive" title="b4">N</font> being   <a href="waybel_0.html#NM2" title="WAYBEL_0:NM.2">net</a> of <font color="Olive" title="b1">S</font> holds  <font color="Olive" title="b3">f</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><a href="waybel11.html#K1" title="WAYBEL11:func.1">lim_inf</a> <font color="Olive" title="b4">N</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="waybel11.html#K1" title="WAYBEL11:func.1">lim_inf</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">f</font> <a href="waybel_9.html#K6" title="WAYBEL_9:func.6">*</a> <font color="Olive" title="b4">N</font></span>)</span> );<br/></span></div>
