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

<b>let </b><font color="Maroon">L</font> be  non <a href="struct_0.html#V3">empty</a> <a href="orders_2.html#NM1">Poset</a>;<br/><b>let </b><font color="Maroon">R</font> be  <a href="waybel_4.html#V1">auxiliary(i)</a> <a href="waybel_4.html#V2">auxiliary(ii)</a> <a href="alg_1.html#NM1">Relation</a> of <font color="Maroon">L</font>;<br/><b>let </b><font color="Maroon">C</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="waybel35.html#M1" target="_self">strict_chain</a> of <font color="Maroon">R</font>;<br/><b>let </b><font color="Maroon">X</font> be   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">C</font>;<br/>







<b>set </b><font color="Maroon">s</font> =  <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font>;<br/>
<b>set </b><font color="Maroon">x</font> =  <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<span class="p1">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">C</font></span>)</span>;<br/>
<b>set </b><font color="Maroon">U</font> =  <a href="waybel_0.html#K6">uparrow</a> <span class="p1">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span>;<br/>
<b>assume </b><b>that </b><br/><a NAME="E1:34"/><i><font color="Green">E30</font></i>: 
 <a href="yellow_0.html#R2">ex_inf_of</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K6">uparrow</a> <span class="p2">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span></span>)</span> <a href="subset_1.html#K9">/\</a> <font color="Maroon">C</font>,<font color="Maroon">L</font>
 <b>and </b><br/><a NAME="E2:34"/><i><font color="Green">E31</font></i>: 
 <a href="yellow_0.html#R1">ex_sup_of</a> <font color="Maroon">X</font>,<font color="Maroon">L</font>
 <b>and </b><br/><a NAME="E3:34"/><i><font color="Green">E32</font></i>: 
<font color="Maroon">C</font> is <a href="waybel35.html#V2" target="_self">maximal</a>
 ;<br/>

<a NAME="E4:34"/><i><font color="Green">E46</font></i>: 
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">C</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">C</font>
 
<b>by </b><i><a class="ref" href="yellow_0.html#D15">YELLOW_0:def 15</a></i>;<br/>
<a NAME="E5:34"/><i><font color="Green">E60</font></i>: 
 <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font> <a href="orders_2.html#R3">&lt;=</a>  <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font>
 
;<br/>
<b>reconsider </b><font color="Maroon">x1</font> =  <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<span class="p1">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">C</font></span>)</span> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font> <b>by </b><i><a class="ref" href="yellow_0.html#T59">YELLOW_0:59</a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="34_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:34_1"/>
(  <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font> <a href="hidden.html#R2">in</a> <font color="Maroon">C</font> or  not  <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font> <a href="hidden.html#R2">in</a> <font color="Maroon">C</font> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="34_1_1"><b>suppose </b></a><a NAME="E1:34_1_1"/><i><font color="Green">E61</font></i>: 
 <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font> <a href="hidden.html#R2">in</a> <font color="Maroon">C</font>
 ;<br/><div class="add"><a NAME="E2:34_1_1"/><b>then </b><i><font color="Green">E64</font></i>: 
 <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font> <a href="hidden.html#R1">=</a>  <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<span class="p1">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">C</font></span>)</span>
 <b>by </b><i>, , <a class="ref" href="yellow_0.html#T65">YELLOW_0:65</a></i>;<br/><a NAME="E3:34_1_1"/><i><font color="Green">E65</font></i>: 
<span class="p1">(<span class="default"><a href="waybel_0.html#K6">uparrow</a> <span class="p2">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span></span>)</span> <a href="subset_1.html#K9">/\</a> <font color="Maroon">C</font> <a href="lattice3.html#NR3" target="_self">is_&gt;=_than</a> <font color="Maroon">x1</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="34_1_1_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">b</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="lattice3.html#D8">LATTICE3:def 8</a><br/>

<b>assume </b><a NAME="E1:34_1_1_1"/>
<font color="Maroon">b</font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K6">uparrow</a> <span class="p2">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span></span>)</span> <a href="subset_1.html#K9">/\</a> <font color="Maroon">C</font>
 ;<br/>

<a NAME="E2:34_1_1_1"/><b>then </b>
<font color="Maroon">b</font> <a href="hidden.html#R2">in</a>  <a href="waybel_0.html#K6">uparrow</a> <span class="p1">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span>
 
<b>by </b><i><a class="ref" href="xboole_0.html#D3">XBOOLE_0:def 3</a></i>;<br/>
<b>hence </b><a NAME="E3:34_1_1_1"/>
<font color="Maroon">x1</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">b</font>
 <b>by </b><i>, <a class="ref" href="waybel_0.html#T18">WAYBEL_0:18</a></i>;<br/>


</div><b>end;</b></div><a NAME="E4:34_1_1"/>
for <font color="Olive">a</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>  st <span class="p1">(<span class="default"><a href="waybel_0.html#K6">uparrow</a> <span class="p2">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span></span>)</span> <a href="subset_1.html#K9">/\</a> <font color="Maroon">C</font> <a href="lattice3.html#NR3" target="_self">is_&gt;=_than</a> <font color="Olive">a</font> holds <br/><font color="Olive">a</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">x1</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="34_1_1_2"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>;<br/>

<b>assume </b><a NAME="E1:34_1_1_2"/><i><font color="Green">E67</font></i>: 
<span class="p1">(<span class="default"><a href="waybel_0.html#K6">uparrow</a> <span class="p2">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span></span>)</span> <a href="subset_1.html#K9">/\</a> <font color="Maroon">C</font> <a href="lattice3.html#NR3" target="_self">is_&gt;=_than</a> <font color="Maroon">a</font>
 ;<br/>

<a NAME="E2:34_1_1_2"/>
 <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font> <a href="hidden.html#R2">in</a>  <a href="waybel_0.html#K6">uparrow</a> <span class="p1">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span>
 
<b>by </b><i>, <a class="ref" href="waybel_0.html#T18">WAYBEL_0:18</a></i>;<br/>
<a NAME="E3:34_1_1_2"/><b>then </b>
<font color="Maroon">x1</font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K6">uparrow</a> <span class="p2">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span></span>)</span> <a href="subset_1.html#K9">/\</a> <font color="Maroon">C</font>
 
<b>by </b><i><a class="txt" href="waybel35.html#E1"><i><font color="Green">Lemma22</font></i></a>, , <a class="ref" href="xboole_0.html#D3">XBOOLE_0:def 3</a></i>;<br/>
<b>hence </b><a NAME="E4:34_1_1_2"/>
<font color="Maroon">a</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">x1</font>
 <b>by </b><i>, <a class="ref" href="lattice3.html#D8">LATTICE3:def 8</a></i>;<br/>


</div><b>end;</b></div><b>hence </b><a NAME="E5:34_1_1"/>
(  <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<span class="p1">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">C</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="yellow_0.html#K2">"/\"</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="waybel_0.html#K6">uparrow</a> <span class="p3">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span></span>)</span> <a href="subset_1.html#K9">/\</a> <font color="Maroon">C</font></span>)</span>,<font color="Maroon">L</font> &amp; ( not  <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font> <a href="hidden.html#R2">in</a> <font color="Maroon">C</font> implies  <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font> <a href="orders_2.html#R2">&lt;</a>  <a href="yellow_0.html#K2">"/\"</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="waybel_0.html#K6">uparrow</a> <span class="p3">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span></span>)</span> <a href="subset_1.html#K9">/\</a> <font color="Maroon">C</font></span>)</span>,<font color="Maroon">L</font> ) )
 <b>by </b><i>, <a class="txt" href="waybel35.html#E1"><i><font color="Green">Lemma22</font></i></a>, , <a class="ref" href="yellow_0.html#D10">YELLOW_0:def 10</a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="34_1_2"><b>suppose </b></a><a NAME="E1:34_1_2"/>
not  <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font> <a href="hidden.html#R2">in</a> <font color="Maroon">C</font>
 ;<br/><div class="add"><b>then consider </b><font color="Maroon">cs</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font><b> such that </b><br/><a NAME="E3:34_1_2"/><i><font color="Green">E68</font></i>: 
<font color="Maroon">cs</font> <a href="hidden.html#R2">in</a> <font color="Maroon">C</font>
 <b>and </b><br/><a NAME="E4:34_1_2"/><i><font color="Green">E69</font></i>: 
 <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font> <a href="orders_2.html#R2">&lt;</a> <font color="Maroon">cs</font>
 <b>and </b><br/><a NAME="E5:34_1_2"/><i><font color="Green">E71</font></i>: 
not <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span>,<font color="Maroon">cs</font></span><a href="domain_1.html#K1">]</a></span> <a href="hidden.html#R2">in</a> <font color="Maroon">R</font>
 <b>and </b><br/><a NAME="E6:34_1_2"/><i><font color="Green">E72</font></i>: 
 ex <font color="Olive">cs1</font> being  <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">C</font></span>)</span> st <br/>( <font color="Maroon">cs</font> <a href="hidden.html#R1">=</a> <font color="Olive">cs1</font> &amp; <font color="Maroon">X</font> <a href="lattice3.html#R2">is_&lt;=_than</a> <font color="Olive">cs1</font> &amp; ( for <font color="Olive">a</font> being  <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">C</font></span>)</span>  st <font color="Maroon">X</font> <a href="lattice3.html#R2">is_&lt;=_than</a> <font color="Olive">a</font> holds <br/><font color="Olive">cs1</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Olive">a</font> ) )
 <b>by </b><i>, , </i>;<br/><a NAME="E7:34_1_2"/><i><font color="Green">E73</font></i>: 
<font color="Maroon">cs</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">cs</font>
 ;<br/><a NAME="E8:34_1_2"/><i><font color="Green">E74</font></i>: 
 <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">cs</font>
 <b>by </b><i>, <a class="ref" href="orders_2.html#D10">ORDERS_2:def 10</a></i>;<br/><a NAME="E9:34_1_2"/>
 <a href="yellow_0.html#R1">ex_sup_of</a> <font color="Maroon">X</font>, <a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">C</font>
 <b>by </b><i>, , </i>;<br/><a NAME="E10:34_1_2"/><b>then </b><i><font color="Green">E75</font></i>: 
<font color="Maroon">cs</font> <a href="hidden.html#R1">=</a>  <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<span class="p1">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">C</font></span>)</span>
 <b>by </b><i>, <a class="ref" href="yellow_0.html#D9">YELLOW_0:def 9</a></i>;<br/><a NAME="E11:34_1_2"/><i><font color="Green">E76</font></i>: 
<span class="p1">(<span class="default"><a href="waybel_0.html#K6">uparrow</a> <span class="p2">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span></span>)</span> <a href="subset_1.html#K9">/\</a> <font color="Maroon">C</font> <a href="lattice3.html#NR3" target="_self">is_&gt;=_than</a> <font color="Maroon">cs</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="34_1_2_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">b</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="lattice3.html#D8">LATTICE3:def 8</a><br/>

<b>assume </b><a NAME="E1:34_1_2_1"/><i><font color="Green">E77</font></i>: 
<font color="Maroon">b</font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K6">uparrow</a> <span class="p2">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span></span>)</span> <a href="subset_1.html#K9">/\</a> <font color="Maroon">C</font>
 ;<br/>

<a NAME="E2:34_1_2_1"/><b>then </b>
<font color="Maroon">b</font> <a href="hidden.html#R2">in</a>  <a href="waybel_0.html#K6">uparrow</a> <span class="p1">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span>
 
<b>by </b><i><a class="ref" href="xboole_0.html#D3">XBOOLE_0:def 3</a></i>;<br/>
<a NAME="E3:34_1_2_1"/><b>then </b><i><font color="Green">E78</font></i>: 
 <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">b</font>
 
<b>by </b><i><a class="ref" href="waybel_0.html#T18">WAYBEL_0:18</a></i>;<br/>
<a NAME="E4:34_1_2_1"/>
<font color="Maroon">b</font> <a href="hidden.html#R2">in</a> <font color="Maroon">C</font>
 
<b>by </b><i><a class="txt" href="waybel35.html#E1:34"><i><font color="Green">E30</font></i></a>, <a class="ref" href="xboole_0.html#D3">XBOOLE_0:def 3</a></i>;<br/>
<a NAME="E5:34_1_2_1"/><b>then </b>
( <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">b</font>,<font color="Maroon">cs</font></span><a href="domain_1.html#K1">]</a></span> <a href="hidden.html#R2">in</a> <font color="Maroon">R</font> or <font color="Maroon">b</font> <a href="hidden.html#R1">=</a> <font color="Maroon">cs</font> or <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">cs</font>,<font color="Maroon">b</font></span><a href="domain_1.html#K1">]</a></span> <a href="hidden.html#R2">in</a> <font color="Maroon">R</font> )
 
<b>by </b><i><a class="txt" href="waybel35.html#E1"><i><font color="Green">Lemma22</font></i></a>, </i>;<br/>
<b>hence </b><a NAME="E6:34_1_2_1"/>
<font color="Maroon">cs</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">b</font>
 <b>by </b><i>, <a class="txt" href="waybel35.html#E2"><i><font color="Green">Lemma26</font></i></a>, <a class="txt" href="waybel35.html#E2:34"><i><font color="Green">E31</font></i></a>, <a class="ref" href="waybel_4.html#D4">WAYBEL_4:def 4</a>, <a class="ref" href="waybel_4.html#D5">WAYBEL_4:def 5</a></i>;<br/>


</div><b>end;</b></div><a NAME="E12:34_1_2"/>
for <font color="Olive">a</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>  st <span class="p1">(<span class="default"><a href="waybel_0.html#K6">uparrow</a> <span class="p2">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span></span>)</span> <a href="subset_1.html#K9">/\</a> <font color="Maroon">C</font> <a href="lattice3.html#NR3" target="_self">is_&gt;=_than</a> <font color="Olive">a</font> holds <br/><font color="Olive">a</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">cs</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="34_1_2_2"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>;<br/>

<b>assume </b><a NAME="E1:34_1_2_2"/><i><font color="Green">E79</font></i>: 
<span class="p1">(<span class="default"><a href="waybel_0.html#K6">uparrow</a> <span class="p2">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span></span>)</span> <a href="subset_1.html#K9">/\</a> <font color="Maroon">C</font> <a href="lattice3.html#NR3" target="_self">is_&gt;=_than</a> <font color="Maroon">a</font>
 ;<br/>

<a NAME="E2:34_1_2_2"/>
<font color="Maroon">cs</font> <a href="hidden.html#R2">in</a>  <a href="waybel_0.html#K6">uparrow</a> <span class="p1">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span>
 
<b>by </b><i>, <a class="ref" href="waybel_0.html#T18">WAYBEL_0:18</a></i>;<br/>
<a NAME="E3:34_1_2_2"/><b>then </b>
<font color="Maroon">cs</font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K6">uparrow</a> <span class="p2">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span></span>)</span> <a href="subset_1.html#K9">/\</a> <font color="Maroon">C</font>
 
<b>by </b><i><a class="txt" href="waybel35.html#E1"><i><font color="Green">Lemma22</font></i></a>, <a class="ref" href="xboole_0.html#D3">XBOOLE_0:def 3</a></i>;<br/>
<b>hence </b><a NAME="E4:34_1_2_2"/>
<font color="Maroon">a</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">cs</font>
 <b>by </b><i><a class="txt" href="waybel35.html#E1:34"><i><font color="Green">E30</font></i></a>, <a class="ref" href="lattice3.html#D8">LATTICE3:def 8</a></i>;<br/>


</div><b>end;</b></div><b>hence </b><a NAME="E13:34_1_2"/>
(  <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<span class="p1">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">C</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="yellow_0.html#K2">"/\"</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="waybel_0.html#K6">uparrow</a> <span class="p3">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span></span>)</span> <a href="subset_1.html#K9">/\</a> <font color="Maroon">C</font></span>)</span>,<font color="Maroon">L</font> &amp; ( not  <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font> <a href="hidden.html#R2">in</a> <font color="Maroon">C</font> implies  <a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font> <a href="orders_2.html#R2">&lt;</a>  <a href="yellow_0.html#K2">"/\"</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="waybel_0.html#K6">uparrow</a> <span class="p3">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <font color="Maroon">X</font>,<font color="Maroon">L</font></span>)</span></span>)</span> <a href="subset_1.html#K9">/\</a> <font color="Maroon">C</font></span>)</span>,<font color="Maroon">L</font> ) )
 <b>by </b><i>, , , , <a class="ref" href="yellow_0.html#D10">YELLOW_0:def 10</a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div>
