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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E50">Th55</font></span>: <a NAME="T55"><span class="comment"><font color="firebrick">:: CAT_8:55</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">C1</font>, <font color="Olive" title="b2">C2</font> being   <a href="cat_6.html#NM2" title="CAT_6:NM.2">category</a><br/>  for <font color="Olive" title="b3">f1</font>, <font color="Olive" title="b4">g1</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="b5">f2</font>, <font color="Olive" title="b6">g2</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="b3">f1</font> <a href="cat_6.html#NR2" title="CAT_6:NR.2">|&gt;</a> <font color="Olive" title="b4">g1</font> &amp; <font color="Olive" title="b5">f2</font> <a href="cat_6.html#NR2" title="CAT_6:NR.2">|&gt;</a> <font color="Olive" title="b6">g2</font> holds <br/><span class="p1"><a href="cat_8.html#K12" title="CAT_8:func.12">[</a><span class="default"><font color="Olive" title="b3">f1</font>,<font color="Olive" title="b5">f2</font></span><a href="cat_8.html#K12" title="CAT_8:func.12">]</a></span> <a href="cat_6.html#K2" title="CAT_6:func.2">(*)</a> <span class="p1"><a href="cat_8.html#K12" title="CAT_8:func.12">[</a><span class="default"><font color="Olive" title="b4">g1</font>,<font color="Olive" title="b6">g2</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="b3">f1</font> <a href="cat_6.html#K2" title="CAT_6:func.2">(*)</a> <font color="Olive" title="b4">g1</font></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b5">f2</font> <a href="cat_6.html#K2" title="CAT_6:func.2">(*)</a> <font color="Olive" title="b6">g2</font></span>)</span></span><a href="cat_8.html#K12" title="CAT_8:func.12">]</a></span></div></div>
