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<div class="add">

<b>let </b><font color="Maroon" title="c1">L</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> <a href="lattice3.html#V3" title="LATTICE3:attr.3">complete</a> <a href="orders_2.html#NM1" title="ORDERS_2:NM.1">Poset</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">X</font> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>  holds <br/> (  <a href="yellow_0.html#K1" title="YELLOW_0:func.1">"\/"</a> <font color="Olive" title="b1">X</font>,<font color="Maroon" title="c1">L</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lattice3.html#K15" title="LATTICE3:func.15">"\/"</a> <font color="Olive" title="b1">X</font>,<span class="p1">(<span class="default"><a href="lattice3.html#K14" title="LATTICE3:func.14">latt</a> <font color="Maroon" title="c1">L</font></span>)</span> &amp;  <a href="yellow_0.html#K2" title="YELLOW_0:func.2">"/\"</a> <font color="Olive" title="b1">X</font>,<font color="Maroon" title="c1">L</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lattice3.html#K16" title="LATTICE3:func.16">"/\"</a> <font color="Olive" title="b1">X</font>,<span class="p1">(<span class="default"><a href="lattice3.html#K14" title="LATTICE3:func.14">latt</a> <font color="Maroon" title="c1">L</font></span>)</span> )</span><br/><b>let </b><font color="Maroon" title="c2">X</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> (  <a href="yellow_0.html#K1" title="YELLOW_0:func.1">"\/"</a> <font color="Maroon" title="c2">X</font>,<font color="Maroon" title="c1">L</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lattice3.html#K15" title="LATTICE3:func.15">"\/"</a> <font color="Maroon" title="c2">X</font>,<span class="p1">(<span class="default"><a href="lattice3.html#K14" title="LATTICE3:func.14">latt</a> <font color="Maroon" title="c1">L</font></span>)</span> &amp;  <a href="yellow_0.html#K2" title="YELLOW_0:func.2">"/\"</a> <font color="Maroon" title="c2">X</font>,<font color="Maroon" title="c1">L</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lattice3.html#K16" title="LATTICE3:func.16">"/\"</a> <font color="Maroon" title="c2">X</font>,<span class="p1">(<span class="default"><a href="lattice3.html#K14" title="LATTICE3:func.14">latt</a> <font color="Maroon" title="c1">L</font></span>)</span> )</span><br/>



<a NAME="E1:41"/><i><font color="Green" title="E28">A1</font></i>: 
 <a href="orders_2.html#G1" title="ORDERS_2:aggr.1">RelStr</a>(# the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">L</font>,the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Maroon" title="c1">L</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lattice3.html#K3" title="LATTICE3:func.3">LattPOSet</a> <span class="p1">(<span class="default"><a href="lattice3.html#K14" title="LATTICE3:func.14">latt</a> <font color="Maroon" title="c1">L</font></span>)</span>
 
<b>by </b><i><a class="ref" href="lattice3.html#D15" title="LATTICE3:def.15">LATTICE3:def 15</a></i>;<br/>
<b>then reconsider </b><font color="Maroon" title="c3">x</font> =  <a href="yellow_0.html#K1" title="YELLOW_0:func.1">"\/"</a> <font color="Maroon" title="c2">X</font>,<font color="Maroon" title="c1">L</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="lattice3.html#K3" title="LATTICE3:func.3">LattPOSet</a> <span class="p2">(<span class="default"><a href="lattice3.html#K14" title="LATTICE3:func.14">latt</a> <font color="Maroon" title="c1">L</font></span>)</span></span>)</span> ;<br/>
<b>consider </b><font color="Maroon" title="c4">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font><b> such that </b><br/><a NAME="E4:41"/><i><font color="Green" title="E29">A2</font></i>: 
<font color="Maroon" title="c2">X</font> <a href="lattice3.html#R2" title="LATTICE3:pred.2">is_&lt;=_than</a> <font color="Maroon" title="c4">a</font>
 <b>and </b><br/><a NAME="E5:41"/><i><font color="Green" title="E30">A3</font></i>: 
for <font color="Olive" title="b1">b</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font>  st <font color="Maroon" title="c2">X</font> <a href="lattice3.html#R2" title="LATTICE3:pred.2">is_&lt;=_than</a> <font color="Olive" title="b1">b</font> holds <br/><font color="Maroon" title="c4">a</font> <a href="orders_2.html#R3" title="ORDERS_2:pred.3">&lt;=</a> <font color="Olive" title="b1">b</font>
 <b>by </b><i><a class="ref" href="lattice3.html#D12" title="LATTICE3:def.12">LATTICE3:def 12</a></i>;<br/>
<a NAME="E6:41"/><i><font color="Green" title="E31">A4</font></i>: 
 <a href="yellow_0.html#R1" title="YELLOW_0:pred.1">ex_sup_of</a> <font color="Maroon" title="c2">X</font>,<font color="Maroon" title="c1">L</font>
 
<b>by </b><i><a class="txt" href="#E4:41"><i><font color="Green" title="E29">A2</font></i></a>, <a class="txt" href="#E5:41"><i><font color="Green" title="E30">A3</font></i></a>, <a class="ref" href="yellow_0.html#T15" target="_self" title="YELLOW_0:th.15">Th15</a></i>;<br/>
<a NAME="E7:41"/><b>then </b>
<font color="Maroon" title="c2">X</font> <a href="lattice3.html#R2" title="LATTICE3:pred.2">is_&lt;=_than</a>  <a href="yellow_0.html#K1" title="YELLOW_0:func.1">"\/"</a> <font color="Maroon" title="c2">X</font>,<font color="Maroon" title="c1">L</font>
 
<b>by </b><i><a class="ref" href="yellow_0.html#D9" target="_self" title="YELLOW_0:def.9">Def9</a></i>;<br/>
<a NAME="E8:41"/><b>then </b>
<font color="Maroon" title="c2">X</font> <a href="lattice3.html#R2" title="LATTICE3:pred.2">is_&lt;=_than</a> <font color="Maroon" title="c3">x</font>
 
<b>by </b><i><a class="txt" href="#E1:41"><i><font color="Green" title="E28">A1</font></i></a>, <a class="ref" href="yellow_0.html#T2" target="_self" title="YELLOW_0:th.2">Th2</a></i>;<br/>
<a NAME="E9:41"/><b>then </b><i><font color="Green" title="E32">A5</font></i>: 
<font color="Maroon" title="c2">X</font> <a href="lattice3.html#R4" title="LATTICE3:pred.4">is_less_than</a>  <a href="lattice3.html#K5" title="LATTICE3:func.5">%</a> <font color="Maroon" title="c3">x</font>
 
<b>by </b><i><a class="ref" href="lattice3.html#T31" title="LATTICE3:th.31">LATTICE3:31</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="41_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c5">a</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="lattice3.html#K14" title="LATTICE3:func.14">latt</a> <font color="Maroon" title="c1">L</font></span>)</span>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">X</font> <a href="lattice3.html#R4" title="LATTICE3:pred.4">is_less_than</a> <font color="Maroon" title="c5">a</font> implies  <a href="lattice3.html#K5" title="LATTICE3:func.5">%</a> <font color="Maroon" title="c3">x</font> <a href="lattices.html#R1" title="LATTICES:pred.1">[=</a> <font color="Maroon" title="c5">a</font> )</span><br/><b>reconsider </b><font color="Maroon" title="c6">a'</font> = <font color="Maroon" title="c5">a</font> <a href="lattice3.html#K4" title="LATTICE3:func.4">%</a>  as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font> <b>by </b><i><a class="txt" href="#E1:41"><i><font color="Green" title="E28">A1</font></i></a></i>;<br/><b>assume </b><a NAME="E2:41_1"/>
<font color="Maroon" title="c2">X</font> <a href="lattice3.html#R4" title="LATTICE3:pred.4">is_less_than</a> <font color="Maroon" title="c5">a</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="lattice3.html#K5" title="LATTICE3:func.5">%</a> <font color="Maroon" title="c3">x</font> <a href="lattices.html#R1" title="LATTICES:pred.1">[=</a> <font color="Maroon" title="c5">a</font></span><br/><a NAME="E3:41_1"/><b>then </b>
<font color="Maroon" title="c2">X</font> <a href="lattice3.html#R2" title="LATTICE3:pred.2">is_&lt;=_than</a> <font color="Maroon" title="c5">a</font> <a href="lattice3.html#K4" title="LATTICE3:func.4">%</a> 
 <b>by </b><i><a class="ref" href="lattice3.html#T30" title="LATTICE3:th.30">LATTICE3:30</a></i>;<br/><a NAME="E4:41_1"/><b>then </b>
<font color="Maroon" title="c2">X</font> <a href="lattice3.html#R2" title="LATTICE3:pred.2">is_&lt;=_than</a> <font color="Maroon" title="c6">a'</font>
 <b>by </b><i><a class="txt" href="#E1:41"><i><font color="Green" title="E28">A1</font></i></a>, <a class="ref" href="yellow_0.html#T2" target="_self" title="YELLOW_0:th.2">Th2</a></i>;<br/><a NAME="E5:41_1"/><b>then </b>
 <a href="yellow_0.html#K1" title="YELLOW_0:func.1">"\/"</a> <font color="Maroon" title="c2">X</font>,<font color="Maroon" title="c1">L</font> <a href="orders_2.html#R3" title="ORDERS_2:pred.3">&lt;=</a> <font color="Maroon" title="c6">a'</font>
 <b>by </b><i><a class="txt" href="#E6:41"><i><font color="Green" title="E31">A4</font></i></a>, <a class="ref" href="yellow_0.html#D9" target="_self" title="YELLOW_0:def.9">Def9</a></i>;<br/><a NAME="E6:41_1"/><b>then </b>
( <font color="Maroon" title="c3">x</font> <a href="orders_2.html#R3" title="ORDERS_2:pred.3">&lt;=</a> <font color="Maroon" title="c5">a</font> <a href="lattice3.html#K4" title="LATTICE3:func.4">%</a>  &amp; <span class="p1">(<span class="default"><a href="lattice3.html#K5" title="LATTICE3:func.5">%</a> <font color="Maroon" title="c3">x</font></span>)</span> <a href="lattice3.html#K4" title="LATTICE3:func.4">%</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lattice3.html#K5" title="LATTICE3:func.5">%</a> <font color="Maroon" title="c3">x</font> &amp;  <a href="lattice3.html#K5" title="LATTICE3:func.5">%</a> <font color="Maroon" title="c3">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">x</font> )
 <b>by </b><i><a class="txt" href="#E1:41"><i><font color="Green" title="E28">A1</font></i></a>, <a class="ref" href="yellow_0.html#T1" target="_self" title="YELLOW_0:th.1">Th1</a></i>;<br/><b>hence </b><a NAME="E7:41_1"/>
 <a href="lattice3.html#K5" title="LATTICE3:func.5">%</a> <font color="Maroon" title="c3">x</font> <a href="lattices.html#R1" title="LATTICES:pred.1">[=</a> <font color="Maroon" title="c5">a</font>
 <b>by </b><i><a class="ref" href="lattice3.html#T7" title="LATTICE3:th.7">LATTICE3:7</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/></div><b>end;</b></div>
<b>hence </b><a NAME="E11:41"/>
 <a href="yellow_0.html#K1" title="YELLOW_0:func.1">"\/"</a> <font color="Maroon" title="c2">X</font>,<font color="Maroon" title="c1">L</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lattice3.html#K15" title="LATTICE3:func.15">"\/"</a> <font color="Maroon" title="c2">X</font>,<span class="p1">(<span class="default"><a href="lattice3.html#K14" title="LATTICE3:func.14">latt</a> <font color="Maroon" title="c1">L</font></span>)</span>
 <b>by </b><i><a class="txt" href="#E9:41"><i><font color="Green" title="E32">A5</font></i></a>, <a class="ref" href="lattice3.html#D21" title="LATTICE3:def.21">LATTICE3:def 21</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="yellow_0.html#K2" title="YELLOW_0:func.2">"/\"</a> <font color="Maroon" title="c2">X</font>,<font color="Maroon" title="c1">L</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lattice3.html#K16" title="LATTICE3:func.16">"/\"</a> <font color="Maroon" title="c2">X</font>,<span class="p1">(<span class="default"><a href="lattice3.html#K14" title="LATTICE3:func.14">latt</a> <font color="Maroon" title="c1">L</font></span>)</span></span><br/>

<b>reconsider </b><font color="Maroon" title="c5">y</font> =  <a href="lattice3.html#K16" title="LATTICE3:func.16">"/\"</a> <font color="Maroon" title="c2">X</font>,<span class="p1">(<span class="default"><a href="lattice3.html#K14" title="LATTICE3:func.14">latt</a> <font color="Maroon" title="c1">L</font></span>)</span> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font> <b>by </b><i><a class="txt" href="#E1:41"><i><font color="Green" title="E28">A1</font></i></a></i>;<br/>
<a NAME="E13:41"/>
 <a href="lattice3.html#K16" title="LATTICE3:func.16">"/\"</a> <font color="Maroon" title="c2">X</font>,<span class="p1">(<span class="default"><a href="lattice3.html#K14" title="LATTICE3:func.14">latt</a> <font color="Maroon" title="c1">L</font></span>)</span> <a href="lattice3.html#R3" title="LATTICE3:pred.3">is_less_than</a> <font color="Maroon" title="c2">X</font>
 
<b>by </b><i><a class="ref" href="lattice3.html#T34" title="LATTICE3:th.34">LATTICE3:34</a></i>;<br/>
<a NAME="E14:41"/><b>then </b>
( <span class="p1">(<span class="default"><a href="lattice3.html#K16" title="LATTICE3:func.16">"/\"</a> <font color="Maroon" title="c2">X</font>,<span class="p2">(<span class="default"><a href="lattice3.html#K14" title="LATTICE3:func.14">latt</a> <font color="Maroon" title="c1">L</font></span>)</span></span>)</span> <a href="lattice3.html#K4" title="LATTICE3:func.4">%</a>  <a href="lattice3.html#R1" title="LATTICE3:pred.1">is_&lt;=_than</a> <font color="Maroon" title="c2">X</font> &amp; <span class="p1">(<span class="default"><a href="lattice3.html#K16" title="LATTICE3:func.16">"/\"</a> <font color="Maroon" title="c2">X</font>,<span class="p2">(<span class="default"><a href="lattice3.html#K14" title="LATTICE3:func.14">latt</a> <font color="Maroon" title="c1">L</font></span>)</span></span>)</span> <a href="lattice3.html#K4" title="LATTICE3:func.4">%</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">y</font> )
 
<b>by </b><i><a class="ref" href="lattice3.html#T28" title="LATTICE3:th.28">LATTICE3:28</a></i>;<br/>
<a NAME="E15:41"/><b>then </b><i><font color="Green" title="E33">A6</font></i>: 
<font color="Maroon" title="c5">y</font> <a href="lattice3.html#R1" title="LATTICE3:pred.1">is_&lt;=_than</a> <font color="Maroon" title="c2">X</font>
 
<b>by </b><i><a class="txt" href="#E1:41"><i><font color="Green" title="E28">A1</font></i></a>, <a class="ref" href="yellow_0.html#T2" target="_self" title="YELLOW_0:th.2">Th2</a></i>;<br/>
<div><i><font color="Green" title="E34">A7</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="41_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon" title="c6">a</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c6">a</font> <a href="lattice3.html#R1" title="LATTICE3:pred.1">is_&lt;=_than</a> <font color="Maroon" title="c2">X</font> implies <font color="Maroon" title="c6">a</font> <a href="orders_2.html#R3" title="ORDERS_2:pred.3">&lt;=</a> <font color="Maroon" title="c5">y</font> )</span><br/><b>reconsider </b><font color="Maroon" title="c7">a'</font> = <font color="Maroon" title="c6">a</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="lattice3.html#K3" title="LATTICE3:func.3">LattPOSet</a> <span class="p2">(<span class="default"><a href="lattice3.html#K14" title="LATTICE3:func.14">latt</a> <font color="Maroon" title="c1">L</font></span>)</span></span>)</span> <b>by </b><i><a class="txt" href="#E1:41"><i><font color="Green" title="E28">A1</font></i></a></i>;<br/><b>assume </b><a NAME="E2:41_2"/>
<font color="Maroon" title="c6">a</font> <a href="lattice3.html#R1" title="LATTICE3:pred.1">is_&lt;=_than</a> <font color="Maroon" title="c2">X</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c6">a</font> <a href="orders_2.html#R3" title="ORDERS_2:pred.3">&lt;=</a> <font color="Maroon" title="c5">y</font></span><br/><a NAME="E3:41_2"/><b>then </b>
<font color="Maroon" title="c7">a'</font> <a href="lattice3.html#R1" title="LATTICE3:pred.1">is_&lt;=_than</a> <font color="Maroon" title="c2">X</font>
 <b>by </b><i><a class="txt" href="#E1:41"><i><font color="Green" title="E28">A1</font></i></a>, <a class="ref" href="yellow_0.html#T2" target="_self" title="YELLOW_0:th.2">Th2</a></i>;<br/><a NAME="E4:41_2"/><b>then </b>
 <a href="lattice3.html#K5" title="LATTICE3:func.5">%</a> <font color="Maroon" title="c7">a'</font> <a href="lattice3.html#R3" title="LATTICE3:pred.3">is_less_than</a> <font color="Maroon" title="c2">X</font>
 <b>by </b><i><a class="ref" href="lattice3.html#T29" title="LATTICE3:th.29">LATTICE3:29</a></i>;<br/><a NAME="E5:41_2"/><b>then </b>
(  <a href="lattice3.html#K5" title="LATTICE3:func.5">%</a> <font color="Maroon" title="c7">a'</font> <a href="lattices.html#R1" title="LATTICES:pred.1">[=</a>  <a href="lattice3.html#K16" title="LATTICE3:func.16">"/\"</a> <font color="Maroon" title="c2">X</font>,<span class="p1">(<span class="default"><a href="lattice3.html#K14" title="LATTICE3:func.14">latt</a> <font color="Maroon" title="c1">L</font></span>)</span> &amp;  <a href="lattice3.html#K5" title="LATTICE3:func.5">%</a> <font color="Maroon" title="c7">a'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">a'</font> &amp; <span class="p1">(<span class="default"><a href="lattice3.html#K5" title="LATTICE3:func.5">%</a> <font color="Maroon" title="c7">a'</font></span>)</span> <a href="lattice3.html#K4" title="LATTICE3:func.4">%</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lattice3.html#K5" title="LATTICE3:func.5">%</a> <font color="Maroon" title="c7">a'</font> )
 <b>by </b><i><a class="ref" href="lattice3.html#T34" title="LATTICE3:th.34">LATTICE3:34</a></i>;<br/><a NAME="E6:41_2"/><b>then </b>
( <font color="Maroon" title="c7">a'</font> <a href="orders_2.html#R3" title="ORDERS_2:pred.3">&lt;=</a> <span class="p1">(<span class="default"><a href="lattice3.html#K16" title="LATTICE3:func.16">"/\"</a> <font color="Maroon" title="c2">X</font>,<span class="p2">(<span class="default"><a href="lattice3.html#K14" title="LATTICE3:func.14">latt</a> <font color="Maroon" title="c1">L</font></span>)</span></span>)</span> <a href="lattice3.html#K4" title="LATTICE3:func.4">%</a>  &amp; <span class="p1">(<span class="default"><a href="lattice3.html#K16" title="LATTICE3:func.16">"/\"</a> <font color="Maroon" title="c2">X</font>,<span class="p2">(<span class="default"><a href="lattice3.html#K14" title="LATTICE3:func.14">latt</a> <font color="Maroon" title="c1">L</font></span>)</span></span>)</span> <a href="lattice3.html#K4" title="LATTICE3:func.4">%</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">y</font> )
 <b>by </b><i><a class="ref" href="lattice3.html#T7" title="LATTICE3:th.7">LATTICE3:7</a></i>;<br/><b>hence </b><a NAME="E7:41_2"/>
<font color="Maroon" title="c6">a</font> <a href="orders_2.html#R3" title="ORDERS_2:pred.3">&lt;=</a> <font color="Maroon" title="c5">y</font>
 <b>by </b><i><a class="txt" href="#E1:41"><i><font color="Green" title="E28">A1</font></i></a>, <a class="ref" href="yellow_0.html#T1" target="_self" title="YELLOW_0:th.1">Th1</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/></div><b>end;</b></div>
<a NAME="E17:41"/><b>then </b>
 <a href="yellow_0.html#R2" title="YELLOW_0:pred.2">ex_inf_of</a> <font color="Maroon" title="c2">X</font>,<font color="Maroon" title="c1">L</font>
 
<b>by </b><i><a class="txt" href="#E15:41"><i><font color="Green" title="E33">A6</font></i></a>, <a class="ref" href="yellow_0.html#T16" target="_self" title="YELLOW_0:th.16">Th16</a></i>;<br/>
<b>hence </b><a NAME="E18:41"/>
 <a href="yellow_0.html#K2" title="YELLOW_0:func.2">"/\"</a> <font color="Maroon" title="c2">X</font>,<font color="Maroon" title="c1">L</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lattice3.html#K16" title="LATTICE3:func.16">"/\"</a> <font color="Maroon" title="c2">X</font>,<span class="p1">(<span class="default"><a href="lattice3.html#K14" title="LATTICE3:func.14">latt</a> <font color="Maroon" title="c1">L</font></span>)</span>
 <b>by </b><i><a class="txt" href="#E15:41"><i><font color="Green" title="E33">A6</font></i></a>, <a class="txt" href="#E16:41"><i><font color="Green" title="E34">A7</font></i></a>, <a class="ref" href="yellow_0.html#D10" target="_self" title="YELLOW_0:def.10">Def10</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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