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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E20">Th24</font></span>: <a NAME="T24"><span class="comment"><font color="firebrick">:: HELLY:24</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="glib_000.html#V5" title="GLIB_000:attr.5">non-multi</a>  <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a><br/>  for <font color="Olive" title="b2">W1</font>, <font color="Olive" title="b3">W2</font> being    <a href="glib_001.html#M3" title="GLIB_001:mode.3">Walk</a> of <font color="Olive" title="b1">G</font>  st <font color="Olive" title="b2">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="b3">W2</font> <a href="glib_001.html#K3" title="GLIB_001:func.3">.first()</a>  &amp;  not <font color="Olive" title="b2">W1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">is_a_prefix_of</a> <font color="Olive" title="b3">W2</font> &amp;  not <font color="Olive" title="b3">W2</font> <a href="tarski.html#R1" title="TARSKI:pred.1">is_a_prefix_of</a> <font color="Olive" title="b2">W1</font> holds <br/><font color="Olive" title="b2">W1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p3">(<span class="default"><a href="helly.html#K1" title="HELLY:func.1">maxPrefix</a> (<font color="Olive" title="b2">W1</font>,<font color="Olive" title="b3">W2</font>)</span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 2</span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">W2</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p3">(<span class="default"><a href="helly.html#K1" title="HELLY:func.1">maxPrefix</a> (<font color="Olive" title="b2">W1</font>,<font color="Olive" title="b3">W2</font>)</span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 2</span>)</span></div></div>
