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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E33">Th29</font></span>: <a NAME="T29"><span class="comment"><font color="firebrick">:: HUFFMAN1:29</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">SOURCE</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="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">p</font> being    <a href="prob_1.html#M2" title="PROB_1:mode.2">Probability</a> of  <a href="random_1.html#K1" title="RANDOM_1:func.1">Trivial-SigmaField</a> <font color="Olive" title="b1">SOURCE</font><br/>  for <font color="Olive" title="b3">Tseq</font> being    <a href="trees_4.html#M1" title="TREES_4:mode.1">FinSequence</a> of  <a href="huffman1.html#K3" title="HUFFMAN1:func.3">BoolBinFinTrees</a> <a href="huffman1.html#K1" title="HUFFMAN1:func.1">IndexedREAL</a><br/>  for <font color="Olive" title="b4">q</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>   st <font color="Olive" title="b3">Tseq</font>,<font color="Olive" title="b4">q</font>,<font color="Olive" title="b2">p</font> <a href="huffman1.html#R1" title="HUFFMAN1:pred.1">is_constructingBinHuffmanTree</a>  holds <br/> for <font color="Olive" title="b5">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b6">T</font>, <font color="Olive" title="b7">S</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="b6">T</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">Tseq</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">i</font> &amp; <font color="Olive" title="b7">S</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">Tseq</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">i</font> &amp; <font color="Olive" title="b6">T</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b7">S</font> holds <br/><span class="p1">(<span class="default"><a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b6">T</font></span>)</span> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <span class="p1">(<span class="default"><a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b7">S</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </div></div>
