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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E19">Th23</font></span>: <a NAME="T29"><span class="comment"><font color="firebrick">:: CAT_2:29</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">C</font>, <font color="Olive" title="b2">D</font> being   <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a><br/>  for <font color="Olive" title="b3">f</font>, <font color="Olive" title="b4">f9</font> being   <a href="cat_1.html#NM2" title="CAT_1:NM.2">Morphism</a> of <font color="Olive" title="b1">C</font><br/>  for <font color="Olive" title="b5">g</font>, <font color="Olive" title="b6">g9</font> being   <a href="cat_1.html#NM2" title="CAT_1:NM.2">Morphism</a> of <font color="Olive" title="b2">D</font>  st  <a href="graph_1.html#K3" title="GRAPH_1:func.3">dom</a> <font color="Olive" title="b4">f9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="graph_1.html#K4" title="GRAPH_1:func.4">cod</a> <font color="Olive" title="b3">f</font> &amp;  <a href="graph_1.html#K3" title="GRAPH_1:func.3">dom</a> <font color="Olive" title="b6">g9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="graph_1.html#K4" title="GRAPH_1:func.4">cod</a> <font color="Olive" title="b5">g</font> holds <br/><span class="p1"><a href="cat_2.html#K8" title="CAT_2:func.8">[</a><span class="default"><font color="Olive" title="b4">f9</font>,<font color="Olive" title="b6">g9</font></span><a href="cat_2.html#K8" title="CAT_2:func.8">]</a></span> <a href="cat_1.html#K1" title="CAT_1:func.1">(*)</a> <span class="p1"><a href="cat_2.html#K8" title="CAT_2:func.8">[</a><span class="default"><font color="Olive" title="b3">f</font>,<font color="Olive" title="b5">g</font></span><a href="cat_2.html#K8" title="CAT_2:func.8">]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="cat_2.html#K8" title="CAT_2:func.8">[</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b4">f9</font> <a href="cat_1.html#K1" title="CAT_1:func.1">(*)</a> <font color="Olive" title="b3">f</font></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b6">g9</font> <a href="cat_1.html#K1" title="CAT_1:func.1">(*)</a> <font color="Olive" title="b5">g</font></span>)</span></span><a href="cat_2.html#K8" title="CAT_2:func.8">]</a></span></div></div>
