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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E46">Def27</font></span>   defines <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <a onclick="hs(this)" href="javascript:()">CAT_6:def 27 : <br/></a><span> for <font color="Olive" title="b1">C</font>, <font color="Olive" title="b2">D</font>, <font color="Olive" title="b3">E</font> being   <a href="cat_6.html#V10" title="CAT_6:attr.10">with_identities</a>   <a href="cat_6.html#L1" title="CAT_6:struct.1">CategoryStr</a> <br/>  for <font color="Olive" title="b4">F</font> being   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Olive" title="b1">C</font>,<font color="Olive" title="b2">D</font><br/>  for <font color="Olive" title="b5">G</font> being   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Olive" title="b2">D</font>,<font color="Olive" title="b3">E</font>  st ( <font color="Olive" title="b4">F</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  or <font color="Olive" title="b4">F</font> is  <a href="cat_6.html#V17" title="CAT_6:attr.17">contravariant</a>  ) &amp; ( <font color="Olive" title="b5">G</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  or <font color="Olive" title="b5">G</font> is  <a href="cat_6.html#V17" title="CAT_6:attr.17">contravariant</a>  ) holds <br/><font color="Olive" title="b5">G</font> <a href="cat_6.html#K11" title="CAT_6:func.11">(*)</a> <font color="Olive" title="b4">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">F</font> <a href="relset_1.html#K4" title="RELSET_1:func.4">*</a> <font color="Olive" title="b5">G</font>;<br/></span></div>
