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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E19">Th28</font></span>: <a NAME="T28"><span class="comment"><font color="firebrick">:: TREES_4:28</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">D1</font>, <font color="Olive" title="b2">D2</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">d1</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">D1</font><br/>  for <font color="Olive" title="b4">d2</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b2">D2</font><br/>  for <font color="Olive" title="b5">F</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="trees_3.html#NM3" title="TREES_3:NM.3">DTree-set</a> of <font color="Olive" title="b1">D1</font>,<font color="Olive" title="b2">D2</font><br/>  for <font color="Olive" title="b6">F2</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="trees_3.html#M1" title="TREES_3:mode.1">DTree-set</a> of <font color="Olive" title="b2">D2</font><br/>  for <font color="Olive" title="b7">p</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Olive" title="b5">F</font><br/>  for <font color="Olive" title="b8">p2</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Olive" title="b6">F2</font>  st  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b8">p2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b7">p</font> &amp; (  for <font color="Olive" title="b9">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b9">i</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b7">p</font> holds <br/> for <font color="Olive" title="b10">T</font> being   <a href="trees_3.html#NM2" title="TREES_3:NM.2">DecoratedTree</a> of <font color="Olive" title="b1">D1</font>,<font color="Olive" title="b2">D2</font>  st <font color="Olive" title="b10">T</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b7">p</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b9">i</font> holds <br/><font color="Olive" title="b8">p2</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b9">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b10">T</font> <a href="trees_3.html#K9" title="TREES_3:func.9">`2</a>  ) holds <br/><span class="p1">(<span class="default"><span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b3">d1</font>,<font color="Olive" title="b4">d2</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span> <a href="trees_4.html#K4" title="TREES_4:func.4">-tree</a> <font color="Olive" title="b7">p</font></span>)</span> <a href="trees_3.html#K9" title="TREES_3:func.9">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">d2</font> <a href="trees_4.html#K4" title="TREES_4:func.4">-tree</a> <font color="Olive" title="b8">p2</font></div></div>
