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<div>:: <span class="kw">deftheorem </span>   defines <a href="glib_010.html#K16" title="GLIB_010:func.16">"</a> <a onclick="hs(this)" href="javascript:()">GLIB_010:def 39 : <br/></a><span> 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">W2</font> being  <font color="Olive">b<sub>3</sub></font> <a href="glib_010.html#V26" title="GLIB_010:attr.26">-valued</a>   <a href="glib_001.html#M3" title="GLIB_001:mode.3">Walk</a> of <font color="Olive" title="b2">G2</font><br/>  for <font color="Olive">b<sub>5</sub></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> holds <br/> ( <font color="Olive">b<sub>5</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">F</font> <a href="glib_010.html#K16" title="GLIB_010:func.16">"</a> <font color="Olive" title="b4">W2</font> iff ( <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="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>5</sub></font> <a href="glib_001.html#K11" title="GLIB_001:func.11">.vertexSeq()</a></span>)</span> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <font color="Olive" title="b4">W2</font> <a href="glib_001.html#K11" title="GLIB_001:func.11">.vertexSeq()</a>  &amp; <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="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>5</sub></font> <a href="glib_001.html#K12" title="GLIB_001:func.12">.edgeSeq()</a></span>)</span> <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <font color="Olive" title="b4">W2</font> <a href="glib_001.html#K12" title="GLIB_001:func.12">.edgeSeq()</a>  ) );<br/></span></div>
