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<span class="kw">consider </span><font color="Maroon" title="c2">W</font> being   <a href="trees_1.html#NM1" title="TREES_1:NM.1">Tree</a>;<br/>
<span class="kw">consider </span><font color="Maroon" title="c3">d</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Maroon" title="c1">D</font>;<br/>
<span class="kw">set </span><font color="Maroon" title="c4">f</font> = <font color="Maroon" title="c2">W</font> <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <font color="Maroon" title="c3">d</font>;<br/>
<a NAME="E3:54_1_1"/><span class="lab"><font color="Green" title="E26">A1</font></span>: 
 <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">W</font> <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <font color="Maroon" title="c3">d</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">W</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funcop_1.html#T19" title="FUNCOP_1:th.19">FUNCOP_1:19</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c5">f</font> = <font color="Maroon" title="c2">W</font> <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <font color="Maroon" title="c3">d</font> as   <a href="trees_2.html#NM4" title="TREES_2:NM.4">DecoratedTree</a> <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:54_1_1"><span class="lab"><font color="Green" title="E26">A1</font></span></a>, <a class="ref" href="trees_2.html#D8" target="_self" title="TREES_2:def.8">Def8</a></span>;<br/>
<a NAME="E5:54_1_1"/><span class="lab"><font color="Green" title="E27">A2</font></span>: 
<font color="Maroon" title="c5">f</font> is <font color="Maroon" title="c1">D</font> <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a> 
 
;<br/>
<span class="kw">thus </span><a NAME="E6:54_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a> st <br/>( <font color="Olive">b<sub>1</sub></font> is  <a href="trees_2.html#V3" title="TREES_2:attr.3">DecoratedTree-like</a>  &amp; <font color="Olive">b<sub>1</sub></font> is <font color="Maroon" title="c1">D</font> <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a>  )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:54_1_1"><span class="lab"><font color="Green" title="E27">A2</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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