<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="partfun1.html#V1" title="PARTFUN1:attr.1">total</a> <a onclick="hs(this)" href="javascript:()">PARTFUN1:def 2 : <br/></a><span> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">f</font> being  <font color="Olive">b<sub>1</sub></font> <a href="relat_1.html#V4" title="RELAT_1:attr.4">-defined</a>  <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</a> holds <br/> ( <font color="Olive" title="b2">f</font> is  <a href="partfun1.html#V1" title="PARTFUN1:attr.1">total</a>  iff  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Olive" title="b2">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">X</font> );<br/></span></div>
