<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="functor0.html#V17" title="FUNCTOR0:attr.17">faithful</a> <a onclick="hs(this)" href="javascript:()">FUNCTOR0:def 30 : <br/></a><span> for <font color="Olive" title="b1">A</font>, <font color="Olive" title="b2">B</font> being    <a href="altcat_1.html#L1" title="ALTCAT_1:struct.1">AltGraph</a> <br/>  for <font color="Olive" title="b3">F</font> being    <a href="functor0.html#L2" title="FUNCTOR0:struct.2">FunctorStr</a> over <font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">B</font> holds <br/> ( <font color="Olive" title="b3">F</font> is  <a href="functor0.html#V17" title="FUNCTOR0:attr.17">faithful</a>  iff  the <a href="functor0.html#U2" title="FUNCTOR0:sel.2">MorphMap</a> of <font color="Olive" title="b3">F</font> is  <a href="msualg_3.html#V1" title="MSUALG_3:attr.1">"1-1"</a>  );<br/></span></div>
