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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E33">Th23</font></span>: <a NAME="T23"><span class="comment"><font color="firebrick">:: GRAPHSP:23</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="graph_1.html#V2" title="GRAPH_1:attr.2">oriented</a>  <a href="graph_1.html#NM3" title="GRAPH_1:NM.3">Graph</a><br/>  for <font color="Olive" title="b2">v1</font>, <font color="Olive" title="b3">v2</font> being   <a href="graph_1.html#NM1" title="GRAPH_1:NM.1">Vertex</a> of <font color="Olive" title="b1">G</font><br/>  for <font color="Olive" title="b4">W</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Olive" title="b1">G</font>,<a href="graph_5.html#K8" title="GRAPH_5:func.8">Real&gt;=0</a> holds <br/> (  <a href="graphsp.html#K11" title="GRAPHSP:func.11">Weight</a> (<font color="Olive" title="b2">v1</font>,<font color="Olive" title="b3">v2</font>,<font color="Olive" title="b4">W</font>) <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  iff  ex <font color="Olive" title="b5">e</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  st <br/>( <font color="Olive" title="b5">e</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Olive" title="b1">G</font> &amp; <font color="Olive" title="b5">e</font> <a href="graph_4.html#R1" title="GRAPH_4:pred.1">orientedly_joins</a> <font color="Olive" title="b2">v1</font>,<font color="Olive" title="b3">v2</font> ) )</div></div>
