<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E24">Th18</font></span>: <a NAME="T18"><span class="comment"><font color="firebrick">:: GLIB_004:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="glib_003.html#V7" title="GLIB_003:attr.7">real-weighted</a>  <a href="glib_003.html#NM1" title="GLIB_003:NM.1">WGraph</a><br/>  for <font color="Olive" title="b2">src</font> being   <a href="glib_000.html#NM10" title="GLIB_000:NM.10">Vertex</a> of <font color="Olive" title="b1">G</font><br/>  for <font color="Olive" title="b3">i</font>, <font color="Olive" title="b4">j</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b4">j</font> holds <br/>(  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="glib_004.html#K10" title="GLIB_004:func.10">DIJK:CompSeq</a> <font color="Olive" title="b2">src</font></span>)</span> <a href="glib_004.html#K9" title="GLIB_004:func.9">.</a> <font color="Olive" title="b3">i</font></span>)</span> <a href="glib_004.html#K5" title="GLIB_004:func.5">`1</a></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="glib_004.html#K10" title="GLIB_004:func.10">DIJK:CompSeq</a> <font color="Olive" title="b2">src</font></span>)</span> <a href="glib_004.html#K9" title="GLIB_004:func.9">.</a> <font color="Olive" title="b4">j</font></span>)</span> <a href="glib_004.html#K5" title="GLIB_004:func.5">`1</a></span>)</span> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="glib_004.html#K10" title="GLIB_004:func.10">DIJK:CompSeq</a> <font color="Olive" title="b2">src</font></span>)</span> <a href="glib_004.html#K9" title="GLIB_004:func.9">.</a> <font color="Olive" title="b3">i</font></span>)</span> <a href="domain_1.html#K3" title="DOMAIN_1:func.3">`2</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="glib_004.html#K10" title="GLIB_004:func.10">DIJK:CompSeq</a> <font color="Olive" title="b2">src</font></span>)</span> <a href="glib_004.html#K9" title="GLIB_004:func.9">.</a> <font color="Olive" title="b4">j</font></span>)</span> <a href="domain_1.html#K3" title="DOMAIN_1:func.3">`2</a>  )</div></div>
