<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="cat_6.html#V17" title="CAT_6:attr.17">contravariant</a> <a onclick="hs(this)" href="javascript:()">CAT_6:def 26 : <br/></a><span> for <font color="Olive" title="b1">C</font>, <font color="Olive" title="b2">D</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="b3">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> holds <br/> ( <font color="Olive" title="b3">F</font> is  <a href="cat_6.html#V17" title="CAT_6:attr.17">contravariant</a>  iff ( <font color="Olive" title="b3">F</font> is  <a href="cat_6.html#V13" title="CAT_6:attr.13">identity-preserving</a>  &amp; <font color="Olive" title="b3">F</font> is  <a href="cat_6.html#V15" title="CAT_6:attr.15">antimultiplicative</a>  ) );<br/></span></div>
