<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E35">Def5</font></span>   defines <a href="msafree4.html#V4" title="MSAFREE4:attr.4">-Image</a> <a onclick="hs(this)" href="javascript:()">MSAFREE4:def 5 : <br/></a><span> for <font color="Olive" title="b1">S</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   non  <a href="struct_0.html#V11" title="STRUCT_0:attr.11">void</a>   <a href="msualg_1.html#L1" title="MSUALG_1:struct.1">ManySortedSign</a> <br/>  for <font color="Olive" title="b2">A</font>, <font color="Olive" title="b3">C</font> being   <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>   <a href="msualg_1.html#L3" title="MSUALG_1:struct.3">MSAlgebra</a> over <font color="Olive" title="b1">S</font> holds <br/> ( <font color="Olive" title="b3">C</font> is <font color="Olive" title="b2">A</font> <a href="msafree4.html#V4" title="MSAFREE4:attr.4">-Image</a>  iff  ex <font color="Olive" title="b4">h</font> being   <a href="msualg_3.html#NM1" title="MSUALG_3:NM.1">ManySortedFunction</a> of <font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">C</font> st <font color="Olive" title="b4">h</font> <a href="msualg_3.html#R2" title="MSUALG_3:pred.2">is_epimorphism</a> <font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">C</font> );<br/></span></div>
