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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E4">Def10</font></span>   defines <a href="huffman1.html#M1" title="HUFFMAN1:mode.1">MinValueTree</a> <a onclick="hs(this)" href="javascript:()">HUFFMAN1:def 10 : <br/></a><span> for <font color="Olive" title="b1">X</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="huffman1.html#K2" title="HUFFMAN1:func.2">BinFinTrees</a> <a href="huffman1.html#K1" title="HUFFMAN1:func.1">IndexedREAL</a></span>)</span><br/>  for <font color="Olive">b<sub>2</sub></font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="bintree1.html#V2" title="BINTREE1:attr.2">binary</a>  <a href="trees_2.html#NM5" title="TREES_2:NM.5">DecoratedTree</a> of  <a href="huffman1.html#K1" title="HUFFMAN1:func.1">IndexedREAL</a>  holds <br/> ( <font color="Olive">b<sub>2</sub></font> is    <a href="huffman1.html#M1" title="HUFFMAN1:mode.1">MinValueTree</a> of <font color="Olive" title="b1">X</font> iff ( <font color="Olive">b<sub>2</sub></font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">X</font> &amp; (  for <font color="Olive" title="b3">q</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="bintree1.html#V2" title="BINTREE1:attr.2">binary</a>  <a href="trees_2.html#NM5" title="TREES_2:NM.5">DecoratedTree</a> of  <a href="huffman1.html#K1" title="HUFFMAN1:func.1">IndexedREAL</a>   st <font color="Olive" title="b3">q</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">X</font> holds <br/> <a href="huffman1.html#K5" title="HUFFMAN1:func.5">Vrootr</a> <font color="Olive">b<sub>2</sub></font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="huffman1.html#K5" title="HUFFMAN1:func.5">Vrootr</a> <font color="Olive" title="b3">q</font> ) ) );<br/></span></div>
