<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T78"><span class="comment"><font color="firebrick">:: CAT_3:78</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">C</font> being   <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a><br/>  for <font color="Olive" title="b2">c</font> being   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Olive" title="b1">C</font><br/>  for <font color="Olive" title="b3">p1</font>, <font color="Olive" title="b4">p2</font> being   <a href="cat_1.html#NM2" title="CAT_1:NM.2">Morphism</a> of <font color="Olive" title="b1">C</font> holds <br/> ( <font color="Olive" title="b2">c</font> <a href="cat_3.html#R2" title="CAT_3:pred.2">is_a_product_wrt</a> <font color="Olive" title="b3">p1</font>,<font color="Olive" title="b4">p2</font> iff <font color="Olive" title="b2">c</font> <a href="oppcat_1.html#K2" title="OPPCAT_1:func.2">opp</a>  <a href="cat_3.html#R4" title="CAT_3:pred.4">is_a_coproduct_wrt</a> <font color="Olive" title="b3">p1</font> <a href="oppcat_1.html#K4" title="OPPCAT_1:func.4">opp</a> ,<font color="Olive" title="b4">p2</font> <a href="oppcat_1.html#K4" title="OPPCAT_1:func.4">opp</a>  )</div></div>
