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<div>:: <span class="kw">deftheorem </span>   defines <a href="bkmodel3.html#K7" title="BKMODEL3:func.7">BK-model-Betweenness</a> <a onclick="hs(this)" href="javascript:()">BKMODEL3:def 7 : <br/></a><span> for <font color="Olive">b<sub>1</sub></font> being   <a href="relset_1.html#NM1" title="RELSET_1:NM.1">Relation</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><a href="bkmodel2.html#K1" title="BKMODEL2:func.1">BK_model</a>,<a href="bkmodel2.html#K1" title="BKMODEL2:func.1">BK_model</a></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<a href="bkmodel2.html#K1" title="BKMODEL2:func.1">BK_model</a> holds <br/> ( <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="bkmodel3.html#K7" title="BKMODEL3:func.7">BK-model-Betweenness</a>  iff  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font>, <font color="Olive" title="b4">c</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="bkmodel2.html#K1" title="BKMODEL2:func.1">BK_model</a>  holds <br/> ( <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>,<font color="Olive" title="b4">c</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive">b<sub>1</sub></font> iff  <a href="bkmodel2.html#K2" title="BKMODEL2:func.2">BK_to_REAL2</a> <font color="Olive" title="b3">b</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="rltopsp1.html#K1" title="RLTOPSP1:func.1">LSeg</a> (<span class="p1">(<span class="default"><a href="bkmodel2.html#K2" title="BKMODEL2:func.2">BK_to_REAL2</a> <font color="Olive" title="b2">a</font></span>)</span>,<span class="p1">(<span class="default"><a href="bkmodel2.html#K2" title="BKMODEL2:func.2">BK_to_REAL2</a> <font color="Olive" title="b4">c</font></span>)</span>) ) );<br/></span></div>
