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

<b>let </b><font color="Maroon">S</font> be  <a href="yellow_0.html#V1">lower-bounded</a> <a href="waybel_0.html#NM8">LATTICE</a>, <font color="Maroon">T</font> be  <a href="yellow_0.html#V1">lower-bounded</a> <a href="waybel_0.html#NM8">LATTICE</a>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:84"/><i><font color="Green">E18</font></i>: 
<span class="p1"><a href="yellow_3.html#K3">[:</a><span class="default"><font color="Maroon">S</font>,<font color="Maroon">T</font></span><a href="yellow_3.html#K3">:]</a></span> is <a href="waybel_8.html#V2">algebraic</a>
 <b>and </b><br/><a NAME="E2:84"/><i><font color="Green">E20</font></i>: 
 <a href="waybel_8.html#K1">CompactSublatt</a> <span class="p1"><a href="yellow_3.html#K3">[:</a><span class="default"><font color="Maroon">S</font>,<font color="Maroon">T</font></span><a href="yellow_3.html#K3">:]</a></span> is <a href="yellow_0.html#V5">meet-inheriting</a>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_8.html#D5">WAYBEL_8:def 5</a><br/>

<a NAME="E3:84"/>
<span class="p1"><a href="yellow_3.html#K3">[:</a><span class="default"><font color="Maroon">S</font>,<font color="Maroon">T</font></span><a href="yellow_3.html#K3">:]</a></span> is <a href="waybel_0.html#V24">up-complete</a>
 
<b>by </b><i>, <a class="ref" href="waybel_8.html#D4">WAYBEL_8:def 4</a></i>;<br/>
<a NAME="E4:84"/><b>then </b><i><font color="Green">E21</font></i>: 
( <font color="Maroon">S</font> is <a href="waybel_0.html#V24">up-complete</a> &amp; <font color="Maroon">T</font> is <a href="waybel_0.html#V24">up-complete</a> )
 
<b>by </b><i><a class="ref" href="waybel_2.html#T11">WAYBEL_2:11</a></i>;<br/>
<div><b>hereby </b> <i><font color="Red">:: according to </font></i><a class="ref" href="yellow_0.html#D16">YELLOW_0:def 16</a>,<a class="ref" href="waybel_8.html#D5">WAYBEL_8:def 5</a>
<div class="add"><b>thus </b><a NAME="E1:84_1"/>
<font color="Maroon">S</font> is <a href="waybel_8.html#V2">algebraic</a>
 <b>by </b><i>, </i>;<br/><b>let </b><font color="Maroon">x</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">S</font>, <font color="Maroon">y</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">S</font>;<br/><b>assume </b><b>that </b><br/><a NAME="E2:84_1"/><i><font color="Green">E23</font></i>: 
( <font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="waybel_8.html#K1">CompactSublatt</a> <font color="Maroon">S</font></span>)</span> &amp; <font color="Maroon">y</font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="waybel_8.html#K1">CompactSublatt</a> <font color="Maroon">S</font></span>)</span> )
 <b>and </b><br/><a NAME="E3:84_1"/>
 <a href="yellow_0.html#R2">ex_inf_of</a> <span class="p1"><a href="domain_1.html#K7">{</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="domain_1.html#K7">}</a></span>,<font color="Maroon">S</font>
 ;<br/><a NAME="E4:84_1"/><i><font color="Green">E31</font></i>: 
 <a href="yellow_0.html#R2">ex_inf_of</a> <span class="p1"><a href="domain_1.html#K7">{</a><span class="default"><span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">x</font>,<span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span>,<span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">y</font>,<span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span></span><a href="domain_1.html#K7">}</a></span>,<span class="p1"><a href="yellow_3.html#K3">[:</a><span class="default"><font color="Maroon">S</font>,<font color="Maroon">T</font></span><a href="yellow_3.html#K3">:]</a></span>
 <b>by </b><i><a class="ref" href="yellow_0.html#T21">YELLOW_0:21</a></i>;<br/><a NAME="E5:84_1"/><i><font color="Green">E32</font></i>: 
 <a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font> is <a href="waybel_3.html#V1">compact</a>
 <b>by </b><i><a class="ref" href="waybel_3.html#T15">WAYBEL_3:15</a></i>;<br/><a NAME="E6:84_1"/><i><font color="Green">E36</font></i>: 
( <span class="p1"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">x</font>,<span class="p2">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span> <a href="yellow_3.html#K8">`1</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">x</font> &amp; <span class="p1"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">y</font>,<span class="p2">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span> <a href="yellow_3.html#K8">`1</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">y</font> &amp; <span class="p1"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">x</font>,<span class="p2">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span> <a href="yellow_3.html#K9">`2</a>  <a href="hidden.html#R1">=</a>  <a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font> &amp; <span class="p1"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">y</font>,<span class="p2">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span> <a href="yellow_3.html#K9">`2</a>  <a href="hidden.html#R1">=</a>  <a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font> )
 <b>by </b><i><a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/><a NAME="E7:84_1"/>
( <font color="Maroon">x</font> is <a href="waybel_3.html#V1">compact</a> &amp; <font color="Maroon">y</font> is <a href="waybel_3.html#V1">compact</a> )
 <b>by </b><i>, <a class="ref" href="waybel_8.html#D1">WAYBEL_8:def 1</a></i>;<br/><a NAME="E8:84_1"/><b>then </b>
( <span class="p1"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">x</font>,<span class="p2">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span> is <a href="waybel_3.html#V1">compact</a> &amp; <span class="p1"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">y</font>,<span class="p2">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span> is <a href="waybel_3.html#V1">compact</a> )
 <b>by </b><i><a class="txt" href="yellow10.html#E5:84_1"><i><font color="Green">E32</font></i></a>, , <a class="txt" href="yellow10.html#E6:84_1"><i><font color="Green">E36</font></i></a>, </i>;<br/><a NAME="E9:84_1"/><b>then </b>
( <span class="p1"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">x</font>,<span class="p2">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="waybel_8.html#K1">CompactSublatt</a> <span class="p2"><a href="yellow_3.html#K3">[:</a><span class="default"><font color="Maroon">S</font>,<font color="Maroon">T</font></span><a href="yellow_3.html#K3">:]</a></span></span>)</span> &amp; <span class="p1"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">y</font>,<span class="p2">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="waybel_8.html#K1">CompactSublatt</a> <span class="p2"><a href="yellow_3.html#K3">[:</a><span class="default"><font color="Maroon">S</font>,<font color="Maroon">T</font></span><a href="yellow_3.html#K3">:]</a></span></span>)</span> )
 <b>by </b><i><a class="ref" href="waybel_8.html#D1">WAYBEL_8:def 1</a></i>;<br/><a NAME="E10:84_1"/><b>then </b>
 <a href="yellow_0.html#NK4" target="_self">inf</a> <span class="p1"><a href="domain_1.html#K7">{</a><span class="default"><span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">x</font>,<span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span>,<span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">y</font>,<span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span></span><a href="domain_1.html#K7">}</a></span> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="waybel_8.html#K1">CompactSublatt</a> <span class="p2"><a href="yellow_3.html#K3">[:</a><span class="default"><font color="Maroon">S</font>,<font color="Maroon">T</font></span><a href="yellow_3.html#K3">:]</a></span></span>)</span>
 <b>by </b><i><a class="txt" href="yellow10.html#E4:84_1"><i><font color="Green">E31</font></i></a>, <a class="ref" href="yellow10.html#T13" target="_self">Th13</a>, <a class="ref" href="yellow_0.html#D16">YELLOW_0:def 16</a></i>;<br/><a NAME="E11:84_1"/><b>then </b><i><font color="Green">E45</font></i>: 
 <a href="yellow_0.html#NK4" target="_self">inf</a> <span class="p1"><a href="domain_1.html#K7">{</a><span class="default"><span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">x</font>,<span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span>,<span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">y</font>,<span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span></span><a href="domain_1.html#K7">}</a></span> is <a href="waybel_3.html#V1">compact</a>
 <b>by </b><i><a class="ref" href="waybel_8.html#D1">WAYBEL_8:def 1</a></i>;<br/><span class="p1">(<span class="default"><a href="yellow_0.html#NK4" target="_self">inf</a> <span class="p2"><a href="domain_1.html#K7">{</a><span class="default"><span class="p3"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">x</font>,<span class="p4">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span>,<span class="p3"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">y</font>,<span class="p4">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span></span><a href="domain_1.html#K7">}</a></span></span>)</span> <a href="yellow_3.html#K8">`1</a>  = 
<span class="p1">(<span class="default"><span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">x</font>,<span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span> <a href="lattice3.html#K12">"/\"</a> <span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">y</font>,<span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span></span>)</span> <a href="yellow_3.html#K8">`1</a> 
<b>by </b><i><a class="ref" href="yellow_0.html#T40">YELLOW_0:40</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">x</font>,<span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span> <a href="yellow_3.html#K8">`1</a> </span>)</span> <a href="lattice3.html#K12">"/\"</a> <span class="p1">(<span class="default"><span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">y</font>,<span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span> <a href="yellow_3.html#K8">`1</a> </span>)</span>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">x</font> <a href="lattice3.html#K12">"/\"</a> <span class="p1">(<span class="default"><span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><font color="Maroon">y</font>,<span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">T</font></span>)</span></span><a href="yellow_3.html#K7">]</a></span> <a href="yellow_3.html#K8">`1</a> </span>)</span>
<b>by </b><i><a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>
<br/>.= 
<font color="Maroon">x</font> <a href="lattice3.html#K12">"/\"</a> <font color="Maroon">y</font>
<b>by </b><i><a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>
;<br/><a NAME="E13:84_1"/><b>then </b>
<font color="Maroon">x</font> <a href="lattice3.html#K12">"/\"</a> <font color="Maroon">y</font> is <a href="waybel_3.html#V1">compact</a>
 <b>by </b><i><a class="txt" href="yellow10.html#E5:84_1"><i><font color="Green">E32</font></i></a>, <a class="ref" href="yellow10.html#T14" target="_self">Th14</a>, </i>;<br/><a NAME="E14:84_1"/><b>then </b>
 <a href="yellow_0.html#NK4" target="_self">inf</a> <span class="p1"><a href="domain_1.html#K7">{</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="domain_1.html#K7">}</a></span> is <a href="waybel_3.html#V1">compact</a>
 <b>by </b><i><a class="ref" href="yellow_0.html#T40">YELLOW_0:40</a></i>;<br/><b>hence </b><a NAME="E15:84_1"/>
 <a href="yellow_0.html#NK4" target="_self">inf</a> <span class="p1"><a href="domain_1.html#K7">{</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="domain_1.html#K7">}</a></span> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="waybel_8.html#K1">CompactSublatt</a> <font color="Maroon">S</font></span>)</span>
 <b>by </b><i><a class="ref" href="waybel_8.html#D1">WAYBEL_8:def 1</a></i>;<br/></div>
<b>end;</b></div>

<b>thus </b><a NAME="E6:84"/>
<font color="Maroon">T</font> is <a href="waybel_8.html#V2">algebraic</a>
 <b>by </b><i>, </i>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_8.html#D5">WAYBEL_8:def 5</a><br/>

<b>let </b><font color="Maroon">x</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">T</font>, <font color="Maroon">y</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">T</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="yellow_0.html#D16">YELLOW_0:def 16</a><br/>

<b>assume </b><b>that </b><br/><a NAME="E7:84"/><i><font color="Green">E54</font></i>: 
( <font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="waybel_8.html#K1">CompactSublatt</a> <font color="Maroon">T</font></span>)</span> &amp; <font color="Maroon">y</font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="waybel_8.html#K1">CompactSublatt</a> <font color="Maroon">T</font></span>)</span> )
 <b>and </b><br/><a NAME="E8:84"/>
 <a href="yellow_0.html#R2">ex_inf_of</a> <span class="p1"><a href="domain_1.html#K7">{</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="domain_1.html#K7">}</a></span>,<font color="Maroon">T</font>
 ;<br/>

<a NAME="E9:84"/><i><font color="Green">E56</font></i>: 
 <a href="yellow_0.html#R2">ex_inf_of</a> <span class="p1"><a href="domain_1.html#K7">{</a><span class="default"><span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">x</font></span><a href="yellow_3.html#K7">]</a></span>,<span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">y</font></span><a href="yellow_3.html#K7">]</a></span></span><a href="domain_1.html#K7">}</a></span>,<span class="p1"><a href="yellow_3.html#K3">[:</a><span class="default"><font color="Maroon">S</font>,<font color="Maroon">T</font></span><a href="yellow_3.html#K3">:]</a></span>
 
<b>by </b><i><a class="ref" href="yellow_0.html#T21">YELLOW_0:21</a></i>;<br/>
<a NAME="E10:84"/><i><font color="Green">E58</font></i>: 
 <a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font> is <a href="waybel_3.html#V1">compact</a>
 
<b>by </b><i><a class="ref" href="waybel_3.html#T15">WAYBEL_3:15</a></i>;<br/>
<a NAME="E11:84"/><i><font color="Green">E59</font></i>: 
( <span class="p1"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p2">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">x</font></span><a href="yellow_3.html#K7">]</a></span> <a href="yellow_3.html#K9">`2</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">x</font> &amp; <span class="p1"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p2">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">y</font></span><a href="yellow_3.html#K7">]</a></span> <a href="yellow_3.html#K9">`2</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">y</font> &amp; <span class="p1"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p2">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">x</font></span><a href="yellow_3.html#K7">]</a></span> <a href="yellow_3.html#K8">`1</a>  <a href="hidden.html#R1">=</a>  <a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font> &amp; <span class="p1"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p2">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">y</font></span><a href="yellow_3.html#K7">]</a></span> <a href="yellow_3.html#K8">`1</a>  <a href="hidden.html#R1">=</a>  <a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font> )
 
<b>by </b><i><a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/>
<a NAME="E12:84"/>
( <font color="Maroon">x</font> is <a href="waybel_3.html#V1">compact</a> &amp; <font color="Maroon">y</font> is <a href="waybel_3.html#V1">compact</a> )
 
<b>by </b><i>, <a class="ref" href="waybel_8.html#D1">WAYBEL_8:def 1</a></i>;<br/>
<a NAME="E13:84"/><b>then </b>
( <span class="p1"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p2">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">x</font></span><a href="yellow_3.html#K7">]</a></span> is <a href="waybel_3.html#V1">compact</a> &amp; <span class="p1"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p2">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">y</font></span><a href="yellow_3.html#K7">]</a></span> is <a href="waybel_3.html#V1">compact</a> )
 
<b>by </b><i>, , , </i>;<br/>
<a NAME="E14:84"/><b>then </b>
( <span class="p1"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p2">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">x</font></span><a href="yellow_3.html#K7">]</a></span> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="waybel_8.html#K1">CompactSublatt</a> <span class="p2"><a href="yellow_3.html#K3">[:</a><span class="default"><font color="Maroon">S</font>,<font color="Maroon">T</font></span><a href="yellow_3.html#K3">:]</a></span></span>)</span> &amp; <span class="p1"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p2">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">y</font></span><a href="yellow_3.html#K7">]</a></span> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="waybel_8.html#K1">CompactSublatt</a> <span class="p2"><a href="yellow_3.html#K3">[:</a><span class="default"><font color="Maroon">S</font>,<font color="Maroon">T</font></span><a href="yellow_3.html#K3">:]</a></span></span>)</span> )
 
<b>by </b><i><a class="ref" href="waybel_8.html#D1">WAYBEL_8:def 1</a></i>;<br/>
<a NAME="E15:84"/><b>then </b>
 <a href="yellow_0.html#NK4" target="_self">inf</a> <span class="p1"><a href="domain_1.html#K7">{</a><span class="default"><span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">x</font></span><a href="yellow_3.html#K7">]</a></span>,<span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">y</font></span><a href="yellow_3.html#K7">]</a></span></span><a href="domain_1.html#K7">}</a></span> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="waybel_8.html#K1">CompactSublatt</a> <span class="p2"><a href="yellow_3.html#K3">[:</a><span class="default"><font color="Maroon">S</font>,<font color="Maroon">T</font></span><a href="yellow_3.html#K3">:]</a></span></span>)</span>
 
<b>by </b><i>, <a class="ref" href="yellow10.html#T13" target="_self">Th13</a>, <a class="ref" href="yellow_0.html#D16">YELLOW_0:def 16</a></i>;<br/>
<a NAME="E16:84"/><b>then </b><i><font color="Green">E60</font></i>: 
 <a href="yellow_0.html#NK4" target="_self">inf</a> <span class="p1"><a href="domain_1.html#K7">{</a><span class="default"><span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">x</font></span><a href="yellow_3.html#K7">]</a></span>,<span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">y</font></span><a href="yellow_3.html#K7">]</a></span></span><a href="domain_1.html#K7">}</a></span> is <a href="waybel_3.html#V1">compact</a>
 
<b>by </b><i><a class="ref" href="waybel_8.html#D1">WAYBEL_8:def 1</a></i>;<br/>
<span class="p1">(<span class="default"><a href="yellow_0.html#NK4" target="_self">inf</a> <span class="p2"><a href="domain_1.html#K7">{</a><span class="default"><span class="p3"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p4">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">x</font></span><a href="yellow_3.html#K7">]</a></span>,<span class="p3"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p4">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">y</font></span><a href="yellow_3.html#K7">]</a></span></span><a href="domain_1.html#K7">}</a></span></span>)</span> <a href="yellow_3.html#K9">`2</a>  = 
<span class="p1">(<span class="default"><span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">x</font></span><a href="yellow_3.html#K7">]</a></span> <a href="lattice3.html#K12">"/\"</a> <span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">y</font></span><a href="yellow_3.html#K7">]</a></span></span>)</span> <a href="yellow_3.html#K9">`2</a> 
<b>by </b><i><a class="ref" href="yellow_0.html#T40">YELLOW_0:40</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">x</font></span><a href="yellow_3.html#K7">]</a></span> <a href="yellow_3.html#K9">`2</a> </span>)</span> <a href="lattice3.html#K12">"/\"</a> <span class="p1">(<span class="default"><span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">y</font></span><a href="yellow_3.html#K7">]</a></span> <a href="yellow_3.html#K9">`2</a> </span>)</span>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">x</font> <a href="lattice3.html#K12">"/\"</a> <span class="p1">(<span class="default"><span class="p2"><a href="yellow_3.html#K7">[</a><span class="default"><span class="p3">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">y</font></span><a href="yellow_3.html#K7">]</a></span> <a href="yellow_3.html#K9">`2</a> </span>)</span>
<b>by </b><i><a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>
<br/>.= 
<font color="Maroon">x</font> <a href="lattice3.html#K12">"/\"</a> <font color="Maroon">y</font>
<b>by </b><i><a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>
;<br/>
<a NAME="E18:84"/><b>then </b>
<font color="Maroon">x</font> <a href="lattice3.html#K12">"/\"</a> <font color="Maroon">y</font> is <a href="waybel_3.html#V1">compact</a>
 
<b>by </b><i>, <a class="ref" href="yellow10.html#T14" target="_self">Th14</a>, </i>;<br/>
<a NAME="E19:84"/><b>then </b>
 <a href="yellow_0.html#NK4" target="_self">inf</a> <span class="p1"><a href="domain_1.html#K7">{</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="domain_1.html#K7">}</a></span> is <a href="waybel_3.html#V1">compact</a>
 
<b>by </b><i><a class="ref" href="yellow_0.html#T40">YELLOW_0:40</a></i>;<br/>
<b>hence </b><a NAME="E20:84"/>
 <a href="yellow_0.html#NK4" target="_self">inf</a> <span class="p1"><a href="domain_1.html#K7">{</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="domain_1.html#K7">}</a></span> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="waybel_8.html#K1">CompactSublatt</a> <font color="Maroon">T</font></span>)</span>
 <b>by </b><i><a class="ref" href="waybel_8.html#D1">WAYBEL_8:def 1</a></i>;<br/>


</div>
