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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E38">Def16</font></span>   defines <a href="cat_7.html#K7" title="CAT_7:func.7">MORPHISM</a> <a onclick="hs(this)" href="javascript:()">CAT_7:def 16 : <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="cat_6.html#NM2" title="CAT_6:NM.2">category</a><br/>  for <font color="Olive" title="b2">f</font> being   <a href="cat_6.html#NM1" title="CAT_6:NM.1">morphism</a> of <font color="Olive" title="b1">C</font><br/>  for <font color="Olive">b<sub>3</sub></font> being   <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <span class="p1">(<span class="default"><a href="cat_7.html#K6" title="CAT_7:func.6">OrdC</a> 2</span>)</span>,<font color="Olive" title="b1">C</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="cat_7.html#K7" title="CAT_7:func.7">MORPHISM</a> <font color="Olive" title="b2">f</font> iff  for <font color="Olive" title="b4">g</font> being   <a href="cat_6.html#NM1" title="CAT_6:NM.1">morphism</a> of <span class="p1">(<span class="default"><a href="cat_7.html#K6" title="CAT_7:func.6">OrdC</a> 2</span>)</span>  st  not <font color="Olive" title="b4">g</font> is  <a href="cat_6.html#V11" title="CAT_6:attr.11">identity</a>  holds <br/><font color="Olive">b<sub>3</sub></font> <a href="cat_6.html#K9" title="CAT_6:func.9">.</a> <font color="Olive" title="b4">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">f</font> );<br/></span></div>
