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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E23">Th31</font></span>: <a NAME="T31"><span class="comment"><font color="firebrick">:: GLIB_009:31</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">W1</font> being    <a href="glib_001.html#M3" title="GLIB_001:mode.3">Walk</a> of <font color="Olive" title="b1">G1</font><br/>  for <font color="Olive" title="b4">W2</font> being    <a href="glib_001.html#M3" title="GLIB_001:mode.3">Walk</a> of <font color="Olive" title="b2">G2</font>  st <font color="Olive" title="b3">W1</font> <a href="glib_001.html#K11" title="GLIB_001:func.11">.vertexSeq()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">W2</font> <a href="glib_001.html#K11" title="GLIB_001:func.11">.vertexSeq()</a>  holds <br/>( ( <font color="Olive" title="b3">W1</font> is <a href="zfmisc_1.html#V1" title="ZFMISC_1:attr.1">V5</a>() implies  not <font color="Olive" title="b4">W2</font> is <a href="zfmisc_1.html#V1" title="ZFMISC_1:attr.1">V5</a>() ) &amp; ( <font color="Olive" title="b3">W1</font> is  <a href="glib_001.html#V1" title="GLIB_001:attr.1">closed</a>  implies <font color="Olive" title="b4">W2</font> is  <a href="glib_001.html#V1" title="GLIB_001:attr.1">closed</a>  ) )</div></div>
