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<div><span class="kw">theorem </span><a NAME="T33"><span class="comment"><font color="firebrick">:: CAT_7:33</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="cat_6.html#NM2" title="CAT_6:NM.2">category</a><br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font> being   <a href="cat_6.html#NM3" title="CAT_6:NM.3">Object</a> of <font color="Olive" title="b1">C</font><br/>  for <font color="Olive" title="b4">f</font> being    <a href="cat_7.html#M1" title="CAT_7:mode.1">Morphism</a> of <font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>  st <font color="Olive" title="b4">f</font> is  <a href="cat_7.html#V5" title="CAT_7:attr.5">isomorphism</a>  holds <br/>( <font color="Olive" title="b4">f</font> is  <a href="cat_7.html#V1" title="CAT_7:attr.1">monomorphism</a>  &amp; <font color="Olive" title="b4">f</font> is  <a href="cat_7.html#V2" title="CAT_7:attr.2">epimorphism</a>  )</div></div>
