<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">A</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">B</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">A1</font> be  non <a href="xboole_0.html#V1">empty</a> <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">A</font>;<br/><b>let </b><font color="Maroon">A2</font> be  non <a href="xboole_0.html#V1">empty</a> <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">A</font>;<br/><b>let </b><font color="Maroon">A3</font> be  non <a href="xboole_0.html#V1">empty</a> <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">A</font>;<br/><b>let </b><font color="Maroon">A12</font> be  non <a href="xboole_0.html#V1">empty</a> <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">A</font>, <font color="Maroon">A23</font> be  non <a href="xboole_0.html#V1">empty</a> <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">A</font>;<br/>











<b>assume </b><a NAME="E1:10"/><i><font color="Green">E23</font></i>: 
( <font color="Maroon">A12</font> <a href="hidden.html#R1">=</a> <font color="Maroon">A1</font> <a href="subset_1.html#K4">\/</a> <font color="Maroon">A2</font> &amp; <font color="Maroon">A23</font> <a href="hidden.html#R1">=</a> <font color="Maroon">A2</font> <a href="subset_1.html#K4">\/</a> <font color="Maroon">A3</font> )
 ;<br/>

<b>let </b><font color="Maroon">f1</font> be   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">A1</font>,<font color="Maroon">B</font>;<br/><b>let </b><font color="Maroon">f2</font> be   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">A2</font>,<font color="Maroon">B</font>;<br/><b>let </b><font color="Maroon">f3</font> be   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">A3</font>,<font color="Maroon">B</font>;<br/>





<b>assume </b><a NAME="E2:10"/><i><font color="Green">E29</font></i>: 
( <font color="Maroon">f1</font> <a href="partfun1.html#K2">|</a> <span class="p1">(<span class="default"><font color="Maroon">A1</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A2</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">f2</font> <a href="partfun1.html#K2">|</a> <span class="p1">(<span class="default"><font color="Maroon">A1</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A2</font></span>)</span> &amp; <font color="Maroon">f2</font> <a href="partfun1.html#K2">|</a> <span class="p1">(<span class="default"><font color="Maroon">A2</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">f3</font> <a href="partfun1.html#K2">|</a> <span class="p1">(<span class="default"><font color="Maroon">A2</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span> &amp; <font color="Maroon">f1</font> <a href="partfun1.html#K2">|</a> <span class="p1">(<span class="default"><font color="Maroon">A1</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">f3</font> <a href="partfun1.html#K2">|</a> <span class="p1">(<span class="default"><font color="Maroon">A1</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span> )
 ;<br/>

<b>let </b><font color="Maroon">f12</font> be   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">A12</font>,<font color="Maroon">B</font>;<br/><b>let </b><font color="Maroon">f23</font> be   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">A23</font>,<font color="Maroon">B</font>;<br/>



<b>assume </b><a NAME="E3:10"/><i><font color="Green">E35</font></i>: 
( <font color="Maroon">f12</font> <a href="funct_2.html#R1">=</a> <font color="Maroon">f1</font> <a href="tmap_1.html#K1" target="_self">union</a> <font color="Maroon">f2</font> &amp; <font color="Maroon">f23</font> <a href="funct_2.html#R1">=</a> <font color="Maroon">f2</font> <a href="tmap_1.html#K1" target="_self">union</a> <font color="Maroon">f3</font> )
 ;<br/>

<a NAME="E4:10"/>
<font color="Maroon">A1</font> <a href="subset_1.html#K4">\/</a> <font color="Maroon">A23</font> <a href="hidden.html#R1">=</a> <font color="Maroon">A12</font> <a href="subset_1.html#K4">\/</a> <font color="Maroon">A3</font>
 
<b>by </b><i>, <a class="ref" href="xboole_1.html#T4">XBOOLE_1:4</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">f</font> = <font color="Maroon">f12</font> <a href="tmap_1.html#K1" target="_self">union</a> <font color="Maroon">f3</font> as   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">A1</font> <a href="subset_1.html#K4">\/</a> <font color="Maroon">A23</font>,<font color="Maroon">B</font> ;<br/>
<a NAME="E6:10"/><i><font color="Green">E36</font></i>: 
( <font color="Maroon">f12</font> <a href="partfun1.html#K2">|</a> <font color="Maroon">A1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f1</font> &amp; <font color="Maroon">f12</font> <a href="partfun1.html#K2">|</a> <font color="Maroon">A2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f2</font> )
 
<b>by </b><i>, , </i>;<br/>
<a NAME="E7:10"/><i><font color="Green">E38</font></i>: 
( <span class="p1">(<span class="default"><font color="Maroon">f12</font> <a href="partfun1.html#K2">|</a> <font color="Maroon">A1</font></span>)</span> <a href="partfun1.html#K2">|</a> <span class="p1">(<span class="default"><font color="Maroon">A1</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">f1</font> <a href="partfun1.html#K2">|</a> <span class="p1">(<span class="default"><font color="Maroon">A1</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span> &amp; <span class="p1">(<span class="default"><font color="Maroon">f12</font> <a href="partfun1.html#K2">|</a> <font color="Maroon">A2</font></span>)</span> <a href="partfun1.html#K2">|</a> <span class="p1">(<span class="default"><font color="Maroon">A2</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">f2</font> <a href="partfun1.html#K2">|</a> <span class="p1">(<span class="default"><font color="Maroon">A2</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span> &amp; <font color="Maroon">A1</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">A1</font> &amp; <font color="Maroon">A2</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">A2</font> )
 
<b>by </b><i>, , , <a class="ref" href="xboole_1.html#T17">XBOOLE_1:17</a></i>;<br/>
<a NAME="E8:10"/>
<font color="Maroon">A12</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">A12</font>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T17">XBOOLE_1:17</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">F</font> = <font color="Maroon">f12</font> <a href="partfun1.html#K2">|</a> <span class="p1">(<span class="default"><font color="Maroon">A12</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span> as   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">A12</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font>,<font color="Maroon">B</font> <b>by </b><i><a class="ref" href="funct_2.html#T38">FUNCT_2:38</a></i>;<br/>
<a NAME="E10:10"/>
<font color="Maroon">A12</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">A3</font>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T17">XBOOLE_1:17</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">G</font> = <font color="Maroon">f3</font> <a href="partfun1.html#K2">|</a> <span class="p1">(<span class="default"><font color="Maroon">A12</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span> as   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">A12</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font>,<font color="Maroon">B</font> <b>by </b><i><a class="ref" href="funct_2.html#T38">FUNCT_2:38</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="10_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:10_1"/><i><font color="Green">E39</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">A12</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font>
 ;<br/><a NAME="E2:10_1"/><i><font color="Green">E42</font></i>: 
<font color="Maroon">A12</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">A1</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span> <a href="subset_1.html#K4">\/</a> <span class="p1">(<span class="default"><font color="Maroon">A2</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span>
 <b>by </b><i>, <a class="ref" href="xboole_1.html#T23">XBOOLE_1:23</a></i>;<br/><a NAME="E3:10_1"/>
( <font color="Maroon">A1</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">A12</font> &amp; <font color="Maroon">A2</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">A12</font> )
 <b>by </b><i>, <a class="ref" href="xboole_1.html#T7">XBOOLE_1:7</a></i>;<br/><a NAME="E4:10_1"/><b>then </b><i><font color="Green">E43</font></i>: 
( <font color="Maroon">A1</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">A12</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font> &amp; <font color="Maroon">A2</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">A12</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font> )
 <b>by </b><i><a class="ref" href="xboole_1.html#T26">XBOOLE_1:26</a></i>;<br/><div><i><font color="Green">E44</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="10_1_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:10_1_1"/><i><font color="Green">E45</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">A1</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font>
 ;<br/><b>hence </b><font color="Maroon">F</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font> = 
<span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="partfun1.html#K2">|</a> <span class="p2">(<span class="default"><font color="Maroon">A1</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i><a class="ref" href="funct_1.html#T72">FUNCT_1:72</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">f12</font> <a href="partfun1.html#K2">|</a> <span class="p2">(<span class="default"><font color="Maroon">A1</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i>, <a class="ref" href="funct_1.html#T82">FUNCT_1:82</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">f3</font> <a href="partfun1.html#K2">|</a> <span class="p2">(<span class="default"><font color="Maroon">A1</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i>, , <a class="ref" href="funct_1.html#T82">FUNCT_1:82</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="partfun1.html#K2">|</a> <span class="p2">(<span class="default"><font color="Maroon">A1</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i>, <a class="ref" href="funct_1.html#T82">FUNCT_1:82</a></i>
<br/>.= 
<font color="Maroon">G</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i>, <a class="ref" href="funct_1.html#T72">FUNCT_1:72</a></i>
;<br/><br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="10_1_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:10_1_2"/><i><font color="Green">E46</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">A2</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font>
 ;<br/><b>hence </b><font color="Maroon">F</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font> = 
<span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="partfun1.html#K2">|</a> <span class="p2">(<span class="default"><font color="Maroon">A2</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i><a class="ref" href="funct_1.html#T72">FUNCT_1:72</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">f12</font> <a href="partfun1.html#K2">|</a> <span class="p2">(<span class="default"><font color="Maroon">A2</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i>, <a class="ref" href="funct_1.html#T82">FUNCT_1:82</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">f3</font> <a href="partfun1.html#K2">|</a> <span class="p2">(<span class="default"><font color="Maroon">A2</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i>, , <a class="ref" href="funct_1.html#T82">FUNCT_1:82</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="partfun1.html#K2">|</a> <span class="p2">(<span class="default"><font color="Maroon">A2</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i>, <a class="ref" href="funct_1.html#T82">FUNCT_1:82</a></i>
<br/>.= 
<font color="Maroon">G</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i>, <a class="ref" href="funct_1.html#T72">FUNCT_1:72</a></i>
;<br/><br/></div><b>end;</b></div><b>hence </b><a NAME="E7:10_1"/>
<font color="Maroon">F</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">G</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
 <b>by </b><i>, , <a class="ref" href="tmap_1.html#T1" target="_self">Th1</a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/></div><b>end;</b></div>
<a NAME="E13:10"/><b>then </b><i><font color="Green">E47</font></i>: 
<font color="Maroon">f12</font> <a href="partfun1.html#K2">|</a> <span class="p1">(<span class="default"><font color="Maroon">A12</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">f3</font> <a href="partfun1.html#K2">|</a> <span class="p1">(<span class="default"><font color="Maroon">A12</font> <a href="subset_1.html#K9">/\</a> <font color="Maroon">A3</font></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_2.html#T18">FUNCT_2:18</a></i>;<br/>
<a NAME="E14:10"/><b>then </b>
( <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="partfun1.html#K2">|</a> <font color="Maroon">A12</font></span>)</span> <a href="partfun1.html#K2">|</a> <font color="Maroon">A1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f12</font> <a href="partfun1.html#K2">|</a> <font color="Maroon">A1</font> &amp; <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="partfun1.html#K2">|</a> <font color="Maroon">A12</font></span>)</span> <a href="partfun1.html#K2">|</a> <font color="Maroon">A2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f12</font> <a href="partfun1.html#K2">|</a> <font color="Maroon">A2</font> &amp; <font color="Maroon">A1</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">A12</font> &amp; <font color="Maroon">A2</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">A12</font> )
 
<b>by </b><i>, , <a class="ref" href="xboole_1.html#T7">XBOOLE_1:7</a></i>;<br/>
<a NAME="E15:10"/><b>then </b><i><font color="Green">E48</font></i>: 
( <font color="Maroon">f</font> <a href="partfun1.html#K2">|</a> <font color="Maroon">A1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f1</font> &amp; <font color="Maroon">f</font> <a href="partfun1.html#K2">|</a> <font color="Maroon">A2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f2</font> )
 
<b>by </b><i>, <a class="ref" href="funct_1.html#T82">FUNCT_1:82</a></i>;<br/>
<a NAME="E16:10"/>
<font color="Maroon">A23</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">A1</font> <a href="subset_1.html#K4">\/</a> <font color="Maroon">A23</font>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T7">XBOOLE_1:7</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">H</font> = <font color="Maroon">f</font> <a href="partfun1.html#K2">|</a> <font color="Maroon">A23</font> as   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">A23</font>,<font color="Maroon">B</font> <b>by </b><i><a class="ref" href="funct_2.html#T38">FUNCT_2:38</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="10_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:10_2"/><i><font color="Green">E49</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">A23</font>
 ;<br/><div><i><font color="Green">E50</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="10_2_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:10_2_1"/><i><font color="Green">E51</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">A2</font>
 ;<br/><b>thus </b><font color="Maroon">H</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font> = 
<font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i>, <a class="ref" href="funct_1.html#T72">FUNCT_1:72</a></i>
<br/>.= 
<font color="Maroon">f2</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i>, , <a class="ref" href="funct_1.html#T72">FUNCT_1:72</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">f23</font> <a href="partfun1.html#K2">|</a> <font color="Maroon">A2</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i>, , </i>
<br/>.= 
<font color="Maroon">f23</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i>, <a class="ref" href="funct_1.html#T72">FUNCT_1:72</a></i>
;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="10_2_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:10_2_2"/><i><font color="Green">E52</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">A3</font>
 ;<br/><b>thus </b><font color="Maroon">H</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font> = 
<font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i>, <a class="ref" href="funct_1.html#T72">FUNCT_1:72</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="partfun1.html#K2">|</a> <font color="Maroon">A3</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i>, <a class="ref" href="funct_1.html#T72">FUNCT_1:72</a></i>
<br/>.= 
<font color="Maroon">f3</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i>, </i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">f23</font> <a href="partfun1.html#K2">|</a> <font color="Maroon">A3</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i>, , </i>
<br/>.= 
<font color="Maroon">f23</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
<b>by </b><i>, <a class="ref" href="funct_1.html#T72">FUNCT_1:72</a></i>
;<br/></div><b>end;</b></div><b>hence </b><a NAME="E4:10_2"/>
<font color="Maroon">H</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f23</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font>
 <b>by </b><i>, , <a class="ref" href="tmap_1.html#T1" target="_self">Th1</a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/></div><b>end;</b></div>
<a NAME="E19:10"/><b>then </b>
<font color="Maroon">f</font> <a href="partfun1.html#K2">|</a> <font color="Maroon">A23</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f23</font>
 
<b>by </b><i><a class="ref" href="funct_2.html#T18">FUNCT_2:18</a></i>;<br/>
<b>hence </b><a NAME="E20:10"/>
<font color="Maroon">f12</font> <a href="tmap_1.html#K1" target="_self">union</a> <font color="Maroon">f3</font> <a href="funct_2.html#R1">=</a> <font color="Maroon">f1</font> <a href="tmap_1.html#K1" target="_self">union</a> <font color="Maroon">f23</font>
 <b>by </b><i>, </i>;<br/>


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