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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E8">Def6</font></span>   defines <a href="matroid0.html#V4" title="MATROID0:attr.4">finite-degree</a> <a onclick="hs(this)" href="javascript:()">MATROID0:def 7 : <br/></a><span> for <font color="Olive" title="b1">M</font> being   <a href="matroid0.html#NM1" title="MATROID0:NM.1">SubsetFamilyStr</a> holds <br/> ( <font color="Olive" title="b1">M</font> is  <a href="matroid0.html#V4" title="MATROID0:attr.4">finite-degree</a>  iff ( <font color="Olive" title="b1">M</font> is  <a href="matroid0.html#V3" title="MATROID0:attr.3">finite-membered</a>  &amp;  ex <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <br/> for <font color="Olive" title="b3">A</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">M</font>  st <font color="Olive" title="b3">A</font> is  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">independent</a>  holds <br/> <a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Olive" title="b3">A</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b2">n</font> ) );<br/></span></div>
