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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E35">Th38</font></span>: <a NAME="T38"><span class="comment"><font color="firebrick">:: MATROID0:38</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">M</font> being   <a href="matroid0.html#V4" title="MATROID0:attr.4">finite-degree</a>  <a href="matroid0.html#NM2" title="MATROID0:NM.2">Matroid</a><br/>  for <font color="Olive" title="b2">A</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">M</font> holds <br/> ( <font color="Olive" title="b2">A</font> is  <a href="matroid0.html#V5" title="MATROID0:attr.5">cycle</a>  iff (  not <font color="Olive" title="b2">A</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  &amp; (  for <font color="Olive" title="b3">e</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">M</font>  st <font color="Olive" title="b3">e</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">A</font> holds <br/><font color="Olive" title="b2">A</font> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b3">e</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> <a href="matroid0.html#R1" title="MATROID0:pred.1">is_maximal_independent_in</a> <font color="Olive" title="b2">A</font> ) ) )</div></div>
