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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E17">Def3</font></span>   defines <a href="zmodul03.html#V1" title="ZMODUL03:attr.1">finite-rank</a> <a onclick="hs(this)" href="javascript:()">ZMODUL03:def 3 : <br/></a><span> for <font color="Olive" title="b1">IT</font> being   <a href="vectsp_7.html#V3" title="VECTSP_7:attr.3">free</a>  <a href="zmodul01.html#NM1" title="ZMODUL01:NM.1">Z_Module</a> holds <br/> ( <font color="Olive" title="b1">IT</font> is  <a href="zmodul03.html#V1" title="ZMODUL03:attr.1">finite-rank</a>  iff  ex <font color="Olive" title="b2">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">IT</font> st <font color="Olive" title="b2">A</font> is   <a href="zmodul03.html#NM1" title="ZMODUL03:NM.1">Basis</a> of <font color="Olive" title="b1">IT</font> );<br/></span></div>
