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<b>let </b><font color="Maroon" title="c2">A</font> be  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">independent</a> <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">M</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">A</font> is <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a></span><br/>

<a NAME="E1:37_1_1"/>
( <font color="Maroon" title="c2">A</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="matroid0.html#K1" title="MATROID0:func.1">the_family_of</a> <font color="Maroon" title="c1">M</font> &amp;  <a href="matroid0.html#K1" title="MATROID0:func.1">the_family_of</a> <font color="Maroon" title="c1">M</font> is <a href="lexbfs.html#V1" title="LEXBFS:attr.1">finite-membered</a> )
 
<b>by </b><i><a class="ref" href="matroid0.html#D6" target="_self" title="MATROID0:def.6">Def7</a>, <a class="ref" href="matroid0.html#D2" target="_self" title="MATROID0:def.2">Def8</a></i>;<br/>
<b>hence </b><a NAME="E2:37_1_1"/>
<font color="Maroon" title="c2">A</font> is <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>
 <b>by </b><i><a class="ref" href="matroid0.html#D5" target="_self" title="MATROID0:def.5">Def6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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