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<div><span class="kw">theorem </span><a NAME="T16"><span class="comment"><font color="firebrick">:: FUNCTOR1:16</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">C1</font>, <font color="Olive" title="b2">C2</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="b3">F</font> being   <a href="functor0.html#V10" title="FUNCTOR0:attr.10">Covariant</a>   <a href="functor0.html#L2" title="FUNCTOR0:struct.2">FunctorStr</a> over <font color="Olive" title="b1">C1</font>,<font color="Olive" title="b2">C2</font> holds <br/> ( <font color="Olive" title="b3">F</font> is  <a href="functor0.html#V17" title="FUNCTOR0:attr.17">faithful</a>  iff  for <font color="Olive" title="b4">o1</font>, <font color="Olive" title="b5">o2</font> being   <a href="altcat_1.html#NM1" title="ALTCAT_1:NM.1">Object</a> of <font color="Olive" title="b1">C1</font> holds   <a href="functor0.html#K4" title="FUNCTOR0:func.4">Morph-Map</a> (<font color="Olive" title="b3">F</font>,<font color="Olive" title="b4">o1</font>,<font color="Olive" title="b5">o2</font>) is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  )</div></div>
