<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E32">Def9</font></span>   defines <a href="prvect_1.html#V2" title="PRVECT_1:attr.2">AbGroup-yielding</a> <a onclick="hs(this)" href="javascript:()">PRVECT_1:def 10 : <br/></a><span> for <font color="Olive" title="b1">F</font> being   <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</a> holds <br/> ( <font color="Olive" title="b1">F</font> is  <a href="prvect_1.html#V2" title="PRVECT_1:attr.2">AbGroup-yielding</a>  iff  for <font color="Olive" title="b2">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b2">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">rng</a> <font color="Olive" title="b1">F</font> holds <br/><font color="Olive" title="b2">x</font> is   <a href="vectsp_1.html#NM2" title="VECTSP_1:NM.2">AbGroup</a> );<br/></span></div>
