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<div>:: <span class="kw">deftheorem </span>   defines <a href="functor0.html#V18" title="FUNCTOR0:attr.18">full</a> <a onclick="hs(this)" href="javascript:()">FUNCTOR0:def 32 : <br/></a><span> for <font color="Olive" title="b1">A</font> being    <a href="altcat_1.html#L1" title="ALTCAT_1:struct.1">AltGraph</a> <br/>  for <font color="Olive" title="b2">B</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <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#V18" title="FUNCTOR0:attr.18">full</a>  iff  ex <font color="Olive" title="b4">f</font> being    <a href="pboole.html#M2" title="PBOOLE:mode.2">ManySortedFunction</a> of  the <a href="altcat_1.html#U1" title="ALTCAT_1:sel.1">Arrows</a> of <font color="Olive" title="b1">A</font>, the <a href="altcat_1.html#U1" title="ALTCAT_1:sel.1">Arrows</a> of <font color="Olive" title="b2">B</font> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a>  the <a href="functor0.html#U1" title="FUNCTOR0:sel.1">ObjectMap</a> of <font color="Olive" title="b3">F</font> st <br/>( <font color="Olive" title="b4">f</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  the <a href="functor0.html#U2" title="FUNCTOR0:sel.2">MorphMap</a> of <font color="Olive" title="b3">F</font> &amp; <font color="Olive" title="b4">f</font> is  <a href="msualg_3.html#V2" title="MSUALG_3:attr.2">"onto"</a>  ) );<br/></span></div>
