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<div><span class="kw">theorem </span><a NAME="T90"><span class="comment"><font color="firebrick">:: CAT_1:90</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">T</font> being    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Olive" title="b1">C</font>,<font color="Olive" title="b2">D</font> holds <br/> ( <font color="Olive" title="b3">T</font> is  <a href="cat_1.html#V14" title="CAT_1:attr.14">faithful</a>  iff  for <font color="Olive" title="b4">c</font>, <font color="Olive" title="b5">c9</font> being   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Olive" title="b1">C</font> holds   <a href="cat_1.html#K11" title="CAT_1:func.11">hom</a> (<font color="Olive" title="b3">T</font>,<font color="Olive" title="b4">c</font>,<font color="Olive" title="b5">c9</font>) is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  )</div></div>
