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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E52">Th57</font></span>: <a NAME="T57"><span class="comment"><font color="firebrick">:: CAT_8:57</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">C1</font>, <font color="Olive" title="b2">C2</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="b3">D1</font>, <font color="Olive" title="b4">D2</font> being   <a href="cat_6.html#NM2" title="CAT_6:NM.2">category</a><br/>  for <font color="Olive" title="b5">F1</font> being   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Olive" title="b1">C1</font>,<font color="Olive" title="b3">D1</font><br/>  for <font color="Olive" title="b6">F2</font> being   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Olive" title="b2">C2</font>,<font color="Olive" title="b4">D2</font><br/>  for <font color="Olive" title="b7">c1</font> being   <a href="cat_6.html#NM1" title="CAT_6:NM.1">morphism</a> of <font color="Olive" title="b1">C1</font><br/>  for <font color="Olive" title="b8">c2</font> being   <a href="cat_6.html#NM1" title="CAT_6:NM.1">morphism</a> of <font color="Olive" title="b2">C2</font>  st <font color="Olive" title="b5">F1</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <font color="Olive" title="b6">F2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b5">F1</font> <a href="cat_8.html#K11" title="CAT_8:func.11">[x]</a> <font color="Olive" title="b6">F2</font></span>)</span> <a href="cat_6.html#K9" title="CAT_6:func.9">.</a> <span class="p1"><a href="cat_8.html#K12" title="CAT_8:func.12">[</a><span class="default"><font color="Olive" title="b7">c1</font>,<font color="Olive" title="b8">c2</font></span><a href="cat_8.html#K12" title="CAT_8:func.12">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="cat_8.html#K12" title="CAT_8:func.12">[</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b5">F1</font> <a href="cat_6.html#K9" title="CAT_6:func.9">.</a> <font color="Olive" title="b7">c1</font></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b6">F2</font> <a href="cat_6.html#K9" title="CAT_6:func.9">.</a> <font color="Olive" title="b8">c2</font></span>)</span></span><a href="cat_8.html#K12" title="CAT_8:func.12">]</a></span></div></div>
