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<div><span class="kw">theorem </span><a NAME="T24"><span class="comment"><font color="firebrick">:: GRAPHSP:24</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="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1 iff  for <font color="Olive" title="b5">e</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   holds <br/>(  not <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> or  not <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> ) ) <span class="kw">by</span> <span class="lab"><a class="ref" href="graphsp.html#D7" target="_self" onmouseover="rs('graphsp/D7')" onmouseout="rh()">Def7</a>, <a class="ref" href="graphsp.html#T23" target="_self" onmouseover="rs('graphsp/T23')" onmouseout="rh()">Th23</a></span>;<br/></div></div>
