<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="zmodlat1.html#V7" title="ZMODLAT1:attr.7">0-preserving</a> <a onclick="hs(this)" href="javascript:()">ZMODLAT1:def 23 : <br/></a><span> for <font color="Olive" title="b1">V</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="vectsp_1.html#L1" title="VECTSP_1:struct.1">ModuleStr</a> over  <a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a> <br/>  for <font color="Olive" title="b2">F</font> being   <a href="zmodlat1.html#NM4" title="ZMODLAT1:NM.4">FrFunctional</a> of <font color="Olive" title="b1">V</font> holds <br/> ( <font color="Olive" title="b2">F</font> is  <a href="zmodlat1.html#V7" title="ZMODLAT1:attr.7">0-preserving</a>  iff <font color="Olive" title="b2">F</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">V</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a> );<br/></span></div>
