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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E52">Th107</font></span>: <a NAME="T104"><span class="comment"><font color="firebrick">:: GLIBPRE1:104</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><br/>  for <font color="Olive" title="b4">H2</font> being    <a href="glib_000.html#M1" title="GLIB_000:mode.1">Subgraph</a> of  <a href="glib_010.html#K9" title="GLIB_010:func.9">rng</a> <font color="Olive" title="b3">F</font><br/>  for <font color="Olive" title="b5">H1</font> being    <a href="glib_000.html#M2" title="GLIB_000:mode.2">inducedSubgraph</a> of <font color="Olive" title="b1">G1</font>,<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="relset_1.html#K8" title="RELSET_1:func.8">"</a> <span class="p1">(<span class="default"><a href="glib_000.html#K24" title="GLIB_000:func.24">the_Vertices_of</a> <font color="Olive" title="b4">H2</font></span>)</span>,<span class="p1">(<span class="default"><font color="Olive" title="b3">F</font> <a href="glib_010.html#K6" title="GLIB_010:func.6">_E</a></span>)</span> <a href="relset_1.html#K8" title="RELSET_1:func.8">"</a> <span class="p1">(<span class="default"><a href="glib_000.html#K25" title="GLIB_000:func.25">the_Edges_of</a> <font color="Olive" title="b4">H2</font></span>)</span><br/>  for <font color="Olive" title="b6">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 <font color="Olive" title="b6">W1</font> is    <a href="glib_001.html#M3" title="GLIB_001:mode.3">Walk</a> of <font color="Olive" title="b5">H1</font> holds <br/><font color="Olive" title="b3">F</font> <a href="glib_010.html#K15" title="GLIB_010:func.15">.:</a> <font color="Olive" title="b6">W1</font> is    <a href="glib_001.html#M3" title="GLIB_001:mode.3">Walk</a> of <font color="Olive" title="b4">H2</font></div></div>
