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<div><span class="kw">theorem </span><a NAME="T4"><span class="comment"><font color="firebrick">:: YONEDA_1:4</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being   <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a><br/>  for <font color="Olive" title="b2">F</font> being    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Olive" title="b1">A</font>, <a href="nattra_1.html#K9" title="NATTRA_1:func.9">Functors</a> (<font color="Olive" title="b1">A</font>,<span class="p1">(<span class="default"><a href="yoneda_1.html#K1" title="YONEDA_1:func.1">EnsHom</a> <font color="Olive" title="b1">A</font></span>)</span>)  st  <a href="cat_1.html#K7" title="CAT_1:func.7">Obj</a> <font color="Olive" title="b2">F</font> is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  &amp; <font color="Olive" title="b2">F</font> is  <a href="cat_1.html#V14" title="CAT_1:attr.14">faithful</a>  holds <br/><font color="Olive" title="b2">F</font> is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a> </div></div>
