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<div><span class="kw">theorem </span><a NAME="T129"><span class="comment"><font color="firebrick">:: GLIBPRE1:129</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="glib_000.html#V3" title="GLIB_000:attr.3">loopless</a>  <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a><br/>  for <font color="Olive" title="b2">T</font> being   <a href="glib_001.html#V1" title="GLIB_001:attr.1">closed</a>  <a href="glib_001.html#NM4" title="GLIB_001:NM.4">Trail</a> of <font color="Olive" title="b1">G</font>  st <font color="Olive" title="b2">T</font> is <a href="zfmisc_1.html#V1" title="ZFMISC_1:attr.1">V5</a>() holds <br/>( <font color="Olive" title="b2">T</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 2 <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">T</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> <font color="Olive" title="b2">T</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1</span>)</span> &amp; <span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b2">T</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 2</span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b2">T</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b2">T</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1</span>)</span></span>)</span></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">T</font> <a href="glib_001.html#K3" title="GLIB_001:func.3">.first()</a></span>)</span> <a href="glib_000.html#K28" title="GLIB_000:func.28">.edgesInOut()</a>  &amp; 2 <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">T</font> <a href="glib_001.html#K3" title="GLIB_001:func.3">.first()</a></span>)</span> <a href="glib_000.html#K34" title="GLIB_000:func.34">.degree()</a>  )</div></div>
