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<div><span class="kw">theorem </span><a NAME="T134"><span class="comment"><font color="firebrick">:: GLIB_010:134</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#V9" title="GLIB_010:attr.9">one-to-one</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><br/>  for <font color="Olive" title="b4">W1</font> being  <font color="Olive">b<sub>3</sub></font> <a href="glib_010.html#V25" title="GLIB_010:attr.25">-defined</a>   <a href="glib_001.html#M3" title="GLIB_001:mode.3">Walk</a> of <font color="Olive" title="b1">G1</font>  st <span class="p1">(<span class="default"><font color="Olive" title="b3">F</font> <a href="glib_010.html#K5" title="GLIB_010:func.5">_V</a></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">W1</font> <a href="glib_001.html#K3" title="GLIB_001:func.3">.first()</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">F</font> <a href="glib_010.html#K5" title="GLIB_010:func.5">_V</a></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">W1</font> <a href="glib_001.html#K4" title="GLIB_001:func.4">.last()</a></span>)</span> holds <br/><font color="Olive" title="b4">W1</font> <a href="glib_001.html#K3" title="GLIB_001:func.3">.first()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">W1</font> <a href="glib_001.html#K4" title="GLIB_001:func.4">.last()</a> </div></div>
