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<div>:: <span class="kw">deftheorem </span>   defines <a href="matroid0.html#V5" title="MATROID0:attr.5">cycle</a> <a onclick="hs(this)" href="javascript:()">MATROID0:def 16 : <br/></a><span> for <font color="Olive" title="b1">M</font> being   <a href="matroid0.html#NM1" title="MATROID0:NM.1">SubsetFamilyStr</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 ( <font color="Olive" title="b2">A</font> is  <a href="matroid0.html#NV2" title="MATROID0:NV.2">dependent</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="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Olive" title="b3">e</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> is  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">independent</a>  ) ) );<br/></span></div>
