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<div><span class="kw">theorem </span><a NAME="T40"><span class="comment"><font color="firebrick">:: GLIB_011:40</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#V6" title="GLIB_000:attr.6">non-Dmulti</a>  <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a><br/>  for <font color="Olive" title="b3">f</font> being   <a href="glib_011.html#V1" title="GLIB_011:attr.1">directed</a>   <a href="glib_011.html#M1" title="GLIB_011:mode.1">PVertexMapping</a> of <font color="Olive" title="b1">G1</font>,<font color="Olive" title="b2">G2</font>  st <font color="Olive" title="b3">f</font> is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  holds <br/>(  <a href="glib_011.html#K4" title="GLIB_011:func.4">DPVM2PGM</a> <font color="Olive" title="b3">f</font> is  <a href="glib_010.html#V13" title="GLIB_010:attr.13">semi-Dcontinuous</a>  &amp;  <a href="glib_011.html#K4" title="GLIB_011:func.4">DPVM2PGM</a> <font color="Olive" title="b3">f</font> is  <a href="glib_010.html#V11" title="GLIB_010:attr.11">semi-continuous</a>  )</div></div>
