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<div><span class="kw">theorem </span><a NAME="T56"><span class="comment"><font color="firebrick">:: GLIB_010:56</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G1</font>, <font color="Olive" title="b2">G2</font> being   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a><br/>  for <font color="Olive" title="b3">F</font> being   non  <a href="glib_010.html#V6" title="GLIB_010:attr.6">empty</a>   <a href="glib_010.html#M1" title="GLIB_010:mode.1">PGraphMapping</a> of <font color="Olive" title="b1">G1</font>,<font color="Olive" title="b2">G2</font> holds <br/> ( <font color="Olive" title="b3">F</font> is  <a href="glib_010.html#V8" title="GLIB_010:attr.8">onto</a>  iff  <a href="glib_010.html#K9" title="GLIB_010:func.9">rng</a> <font color="Olive" title="b3">F</font> <a href="glib_000.html#R5" title="GLIB_000:pred.5">==</a> <font color="Olive" title="b2">G2</font> )</div></div>
