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<div><span class="kw">theorem </span><a NAME="T9"><span class="comment"><font color="firebrick">:: ALTCAT_4:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">C</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="altcat_1.html#L2" title="ALTCAT_1:struct.2">AltCatStr</a> <br/>  for <font color="Olive" title="b2">O</font>, <font color="Olive" title="b3">A</font> being   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">Object</a> of <font color="Olive" title="b1">C</font><br/>  for <font color="Olive" title="b4">M</font> being   <a href="altcat_1.html#NM2" title="ALTCAT_1:NM.2">Morphism</a> of <font color="Olive" title="b3">A</font>,<font color="Olive" title="b2">O</font>  st <font color="Olive" title="b2">O</font> is  <a href="altcat_3.html#V6" title="ALTCAT_3:attr.6">initial</a>  holds <br/><font color="Olive" title="b4">M</font> is  <a href="altcat_3.html#V5" title="ALTCAT_3:attr.5">epi</a> </div></div>
