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<div>:: <span class="kw">deftheorem </span>   defines <a href="euclid_7.html#K3" title="EUCLID_7:func.3">L_Span</a> <a onclick="hs(this)" href="javascript:()">EUCLID_7:def 9 : <br/></a><span> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">X</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <font color="Olive" title="b1">n</font></span>)</span> holds   <a href="euclid_7.html#K3" title="EUCLID_7:func.3">L_Span</a> <font color="Olive" title="b2">X</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="setfam_1.html#K1" title="SETFAM_1:func.1">meet</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b3">Y</font> where <font color="Olive" title="b3">Y</font> is   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <font color="Olive" title="b1">n</font></span>)</span> : ( <font color="Olive" title="b3">Y</font> is  <a href="euclid_7.html#V6" title="EUCLID_7:attr.6">linear_manifold</a>  &amp; <font color="Olive" title="b2">X</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b3">Y</font> ) </span> } </span> ;<br/></span></div>
