<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="altcat_3.html#V1" title="ALTCAT_3:attr.1">retraction</a> <a onclick="hs(this)" href="javascript:()">ALTCAT_3:def 2 : <br/></a><span> for <font color="Olive" title="b1">C</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="altcat_1.html#V12" title="ALTCAT_1:attr.12">with_units</a>   <a href="altcat_1.html#L2" title="ALTCAT_1:struct.2">AltCatStr</a> <br/>  for <font color="Olive" title="b2">o1</font>, <font color="Olive" title="b3">o2</font> being   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">Object</a> of <font color="Olive" title="b1">C</font><br/>  for <font color="Olive" title="b4">A</font> being   <a href="altcat_1.html#NM2" title="ALTCAT_1:NM.2">Morphism</a> of <font color="Olive" title="b2">o1</font>,<font color="Olive" title="b3">o2</font> holds <br/> ( <font color="Olive" title="b4">A</font> is  <a href="altcat_3.html#V1" title="ALTCAT_3:attr.1">retraction</a>  iff  ex <font color="Olive" title="b5">B</font> being   <a href="altcat_1.html#NM2" title="ALTCAT_1:NM.2">Morphism</a> of <font color="Olive" title="b3">o2</font>,<font color="Olive" title="b2">o1</font> st <font color="Olive" title="b5">B</font> <a href="altcat_3.html#NR2" title="ALTCAT_3:NR.2">is_right_inverse_of</a> <font color="Olive" title="b4">A</font> );<br/></span></div>
