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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E17">Def6</font></span>   defines <a href="euclid_7.html#V4" title="EUCLID_7:attr.4">complete</a> <a onclick="hs(this)" href="javascript:()">EUCLID_7:def 6 : <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">B0</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 <br/> ( <font color="Olive" title="b2">B0</font> is  <a href="euclid_7.html#V4" title="EUCLID_7:attr.4">complete</a>  iff  for <font color="Olive" title="b3">B</font> being   <a href="euclid_7.html#V3" title="EUCLID_7:attr.3">R-orthonormal</a>  <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>  st <font color="Olive" title="b2">B0</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b3">B</font> holds <br/><font color="Olive" title="b3">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">B0</font> );<br/></span></div>
