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<b>let </b><font color="Maroon" title="c1">L1</font>, <font color="Maroon" title="c2">L2</font> be    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> ;<br/>

<b>assume </b><a NAME="E1:40"/><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">L1</font>,the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Maroon" title="c1">L1</font> #) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <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="c2">L2</font>,the <a href="orders_2.html#U1" title="ORDERS_2:sel.1">InternalRel</a> of <font color="Maroon" title="c2">L2</font> #)
 ;<br/>

<b>let </b><font color="Maroon" title="c3">X</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>

<b>assume </b><a NAME="E2:40"/><i><font color="Green" title="E29">A2</font></i>: 
 <a href="yellow_0.html#R2" title="YELLOW_0:pred.2">ex_inf_of</a> <font color="Maroon" title="c3">X</font>,<font color="Maroon" title="c1">L1</font>
 ;<br/>

<a NAME="E3:40"/><b>then </b><i><font color="Green" title="E30">A3</font></i>: 
 <a href="yellow_0.html#R2" title="YELLOW_0:pred.2">ex_inf_of</a> <font color="Maroon" title="c3">X</font>,<font color="Maroon" title="c2">L2</font>
 
<b>by </b><i><a class="txt" href="yellow_0.html#E1:40"><i><font color="Green" title="E28">A1</font></i></a>, <a class="ref" href="yellow_0.html#T14" target="_self" title="YELLOW_0:th.14">Th14</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c4">c</font> =  <a href="yellow_0.html#K2" title="YELLOW_0:func.2">"/\"</a> <font color="Maroon" title="c3">X</font>,<font color="Maroon" title="c1">L1</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c2">L2</font> <b>by </b><i><a class="txt" href="yellow_0.html#E1:40"><i><font color="Green" title="E28">A1</font></i></a></i>;<br/>
<a NAME="E5:40"/>
<font color="Maroon" title="c3">X</font> <a href="lattice3.html#NR3" title="LATTICE3:NR.3">is_&gt;=_than</a>  <a href="yellow_0.html#K2" title="YELLOW_0:func.2">"/\"</a> <font color="Maroon" title="c3">X</font>,<font color="Maroon" title="c1">L1</font>
 
<b>by </b><i><a class="txt" href="yellow_0.html#E2:40"><i><font color="Green" title="E29">A2</font></i></a>, <a class="ref" href="yellow_0.html#D10" target="_self" title="YELLOW_0:def.10">Def10</a></i>;<br/>
<a NAME="E6:40"/><b>then </b><i><font color="Green" title="E31">A4</font></i>: 
<font color="Maroon" title="c3">X</font> <a href="lattice3.html#NR3" title="LATTICE3:NR.3">is_&gt;=_than</a> <font color="Maroon" title="c4">c</font>
 
<b>by </b><i><a class="txt" href="yellow_0.html#E1:40"><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><a class="txt" onclick="hs2(this)" href="javascript:()" title="40_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 <font color="Maroon" title="c2">L2</font>;<br/><b>reconsider </b><font color="Maroon" title="c6">b</font> = <font color="Maroon" title="c5">a</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L1</font> <b>by </b><i><a class="txt" href="yellow_0.html#E1:40"><i><font color="Green" title="E28">A1</font></i></a></i>;<br/><b>assume </b><a NAME="E2:40_1"/>
<font color="Maroon" title="c3">X</font> <a href="lattice3.html#NR3" title="LATTICE3:NR.3">is_&gt;=_than</a> <font color="Maroon" title="c5">a</font>
 ;<br/><a NAME="E3:40_1"/><b>then </b>
<font color="Maroon" title="c3">X</font> <a href="lattice3.html#NR3" title="LATTICE3:NR.3">is_&gt;=_than</a> <font color="Maroon" title="c6">b</font>
 <b>by </b><i><a class="txt" href="yellow_0.html#E1:40"><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="E4:40_1"/><b>then </b>
<font color="Maroon" title="c6">b</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a>  <a href="yellow_0.html#K2" title="YELLOW_0:func.2">"/\"</a> <font color="Maroon" title="c3">X</font>,<font color="Maroon" title="c1">L1</font>
 <b>by </b><i><a class="txt" href="yellow_0.html#E2:40"><i><font color="Green" title="E29">A2</font></i></a>, <a class="ref" href="yellow_0.html#D10" target="_self" title="YELLOW_0:def.10">Def10</a></i>;<br/><b>hence </b><a NAME="E5:40_1"/>
<font color="Maroon" title="c5">a</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Maroon" title="c4">c</font>
 <b>by </b><i><a class="txt" href="yellow_0.html#E1:40"><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/></div><b>end;</b></div>
<b>hence </b><a NAME="E8:40"/>
 <a href="yellow_0.html#K2" title="YELLOW_0:func.2">"/\"</a> <font color="Maroon" title="c3">X</font>,<font color="Maroon" title="c1">L1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="yellow_0.html#K2" title="YELLOW_0:func.2">"/\"</a> <font color="Maroon" title="c3">X</font>,<font color="Maroon" title="c2">L2</font>
 <b>by </b><i><a class="txt" href="yellow_0.html#E3:40"><i><font color="Green" title="E30">A3</font></i></a>, <a class="txt" href="yellow_0.html#E6:40"><i><font color="Green" title="E31">A4</font></i></a>, <a class="ref" href="yellow_0.html#D10" target="_self" title="YELLOW_0:def.10">Def10</a></i>;<br/>


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