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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E49">Th52</font></span>: <a NAME="T52"><span class="comment"><font color="firebrick">:: CAT_7:52</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">C</font>, <font color="Olive" title="b2">C1</font>, <font color="Olive" title="b3">C2</font> being   <a href="cat_6.html#NM2" title="CAT_6:NM.2">category</a><br/>  for <font color="Olive" title="b4">F1</font> being   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Olive" title="b2">C1</font>,<font color="Olive" title="b1">C</font><br/>  for <font color="Olive" title="b5">F2</font> being   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <font color="Olive" title="b3">C2</font>,<font color="Olive" title="b1">C</font>  st <font color="Olive" title="b4">F1</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <font color="Olive" title="b5">F2</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  holds <br/>(  <a href="cat_7.html#K9" title="CAT_7:func.9">pr1</a> (<font color="Olive" title="b4">F1</font>,<font color="Olive" title="b5">F2</font>) is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp;  <a href="cat_7.html#K10" title="CAT_7:func.10">pr2</a> (<font color="Olive" title="b4">F1</font>,<font color="Olive" title="b5">F2</font>) is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <span class="p1"><a href="cat_7.html#K8" title="CAT_7:func.8">[|</a><span class="default"><font color="Olive" title="b4">F1</font>,<font color="Olive" title="b5">F2</font></span><a href="cat_7.html#K8" title="CAT_7:func.8">|]</a></span>, <a href="cat_7.html#K9" title="CAT_7:func.9">pr1</a> (<font color="Olive" title="b4">F1</font>,<font color="Olive" title="b5">F2</font>), <a href="cat_7.html#K10" title="CAT_7:func.10">pr2</a> (<font color="Olive" title="b4">F1</font>,<font color="Olive" title="b5">F2</font>) <a href="cat_7.html#R3" title="CAT_7:pred.3">is_pullback_of</a> <font color="Olive" title="b4">F1</font>,<font color="Olive" title="b5">F2</font> )</div></div>
