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<a NAME="E1:62_2_1"/>
<font color="Maroon">c<sub>2</sub></font> <a href="trees_2.html#K5" target="_self">|</a> <font color="Maroon">c<sub>3</sub></font> is    <a href="trees_2.html#M3" target="_self">ParametrizedSubset</a> of <font color="Maroon">c<sub>1</sub></font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="62_2_1_1"><b>proof </b></a><div class="add">

<a NAME="E1:62_2_1_1"/>
(  <a href="relat_1.html#K2">rng</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="trees_2.html#K5" target="_self">|</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K2">rng</a> <font color="Maroon">c<sub>2</sub></font> &amp;  <a href="relat_1.html#K2">rng</a> <font color="Maroon">c<sub>2</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>1</sub></font> )
 
<b>by </b><i><a class="ref" href="trees_2.html#D9" target="_self">Def9</a>, <a class="ref" href="trees_2.html#T34" target="_self">Th34</a></i>;<br/>
<b>hence </b><a NAME="E2:62_2_1_1"/>
 <a href="relat_1.html#K2">rng</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="trees_2.html#K5" target="_self">|</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="trees_2.html#D9" target="_self">TREES_2:def 9</a><br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E2:62_2_1"/>
<font color="Maroon">c<sub>2</sub></font> <a href="trees_2.html#K5" target="_self">|</a> <font color="Maroon">c<sub>3</sub></font> is   <a href="trees_2.html#NM6">DecoratedTree</a> of <font color="Maroon">c<sub>1</sub></font>
 ;<br/>


</div>
