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<b>set </b><font color="Maroon">I</font> = <font color="Maroon">F</font>;<br/>
<b>set </b><font color="Maroon">A</font> = <span class="p1">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">F</font></span>)</span> <a href="waybel_9.html#K4">opp+id</a> ;<br/>
<b>let </b><font color="Maroon">x</font> be   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">F</font></span>)</span> <a href="waybel_9.html#K4">opp+id</a> </span>)</span>, <font color="Maroon">y</font> be   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">F</font></span>)</span> <a href="waybel_9.html#K4">opp+id</a> </span>)</span>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_0.html#D1">WAYBEL_0:def 1</a>,<a class="ref" href="waybel_0.html#D6">WAYBEL_0:def 6</a><br/>

<a NAME="E1:24_1_1"/><i><font color="Green">E32</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">F</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">F</font>
 
<b>by </b><i><a class="ref" href="yellow_0.html#D15">YELLOW_0:def 15</a></i>;<br/>
<a NAME="E2:24_1_1"/><i><font color="Green">E33</font></i>: 
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">F</font></span>)</span> <a href="waybel_9.html#K4">opp+id</a> </span>)</span> <a href="hidden.html#R1">=</a> 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">F</font></span>)</span>
 
<b>by </b><i><a class="ref" href="waybel_9.html#D6">WAYBEL_9:def 6</a></i>;<br/>
<b>assume </b><a NAME="E3:24_1_1"/>
( <font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="pre_topc.html#K2">[#]</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">F</font></span>)</span> <a href="waybel_9.html#K4">opp+id</a> </span>)</span> &amp; <font color="Maroon">y</font> <a href="hidden.html#R2">in</a>  <a href="pre_topc.html#K2">[#]</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">F</font></span>)</span> <a href="waybel_9.html#K4">opp+id</a> </span>)</span> )
 ;<br/>

<b>then reconsider </b><font color="Maroon">a</font> = <font color="Maroon">x</font>, <font color="Maroon">b</font> = <font color="Maroon">y</font> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font> <b>by </b><i>, </i>;<br/>
<a NAME="E5:24_1_1"/><i><font color="Green">E35</font></i>: 
 <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">F</font></span>)</span> <a href="waybel_9.html#K4">opp+id</a> </span>)</span>,the <a href="orders_2.html#U1">InternalRel</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">F</font></span>)</span> <a href="waybel_9.html#K4">opp+id</a> </span>)</span> #) <a href="hidden.html#R1">=</a>  <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">F</font></span>)</span> <a href="yellow_7.html#NK1" target="_self">opp</a> </span>)</span>,the <a href="orders_2.html#U1">InternalRel</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">F</font></span>)</span> <a href="yellow_7.html#NK1" target="_self">opp</a> </span>)</span> #)
 
<b>by </b><i><a class="ref" href="waybel_9.html#T11">WAYBEL_9:11</a></i>;<br/>
<b>consider </b><font color="Maroon">c</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font><b> such that </b><br/><a NAME="E7:24_1_1"/><i><font color="Green">E37</font></i>: 
( <font color="Maroon">c</font> <a href="hidden.html#R2">in</a> <font color="Maroon">F</font> &amp; <font color="Maroon">a</font> <a href="orders_2.html#NR2" target="_self">&gt;=</a> <font color="Maroon">c</font> &amp; <font color="Maroon">b</font> <a href="orders_2.html#NR2" target="_self">&gt;=</a> <font color="Maroon">c</font> )
 <b>by </b><i>, , <a class="ref" href="waybel_0.html#D2">WAYBEL_0:def 2</a></i>;<br/>
<b>reconsider </b><font color="Maroon">a1</font> = <font color="Maroon">x</font>, <font color="Maroon">b1</font> = <font color="Maroon">y</font>, <font color="Maroon">c1</font> = <font color="Maroon">c</font> as   <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">F</font></span>)</span> <b>by </b><i>, <a class="ref" href="waybel_9.html#D6">WAYBEL_9:def 6</a>, <a class="ref" href="yellow_0.html#D15">YELLOW_0:def 15</a></i>;<br/>
<b>reconsider </b><font color="Maroon">z</font> = <font color="Maroon">c</font> as   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">F</font></span>)</span> <a href="waybel_9.html#K4">opp+id</a> </span>)</span> <b>by </b><i>, , <a class="ref" href="yellow_0.html#D15">YELLOW_0:def 15</a></i>;<br/>
<b>take </b>
<font color="Maroon">z</font>
;<br/>

<a NAME="E10:24_1_1"/><i><font color="Green">E38</font></i>: 
( <font color="Maroon">a1</font> <a href="lattice3.html#K8">~</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">a1</font> &amp; <font color="Maroon">b1</font> <a href="lattice3.html#K8">~</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">b1</font> &amp; <font color="Maroon">c1</font> <a href="lattice3.html#K8">~</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c1</font> )
 
<b>by </b><i><a class="ref" href="lattice3.html#D6">LATTICE3:def 6</a></i>;<br/>
<a NAME="E11:24_1_1"/>
( <font color="Maroon">a1</font> <a href="orders_2.html#NR2" target="_self">&gt;=</a> <font color="Maroon">c1</font> &amp; <font color="Maroon">b1</font> <a href="orders_2.html#NR2" target="_self">&gt;=</a> <font color="Maroon">c1</font> )
 
<b>by </b><i>, <a class="ref" href="yellow_0.html#T61">YELLOW_0:61</a></i>;<br/>
<a NAME="E12:24_1_1"/><b>then </b>
( <font color="Maroon">a1</font> <a href="lattice3.html#K8">~</a>  <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">c1</font> <a href="lattice3.html#K8">~</a>  &amp; <font color="Maroon">b1</font> <a href="lattice3.html#K8">~</a>  <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">c1</font> <a href="lattice3.html#K8">~</a>  )
 
<b>by </b><i><a class="ref" href="lattice3.html#T9">LATTICE3:9</a></i>;<br/>
<b>hence </b><a NAME="E13:24_1_1"/>
( <font color="Maroon">z</font> <a href="hidden.html#R2">in</a>  <a href="pre_topc.html#K2">[#]</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="yellow_0.html#K5">subrelstr</a> <font color="Maroon">F</font></span>)</span> <a href="waybel_9.html#K4">opp+id</a> </span>)</span> &amp; <font color="Maroon">x</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">z</font> &amp; <font color="Maroon">y</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">z</font> )
 <b>by </b><i>, , <a class="ref" href="yellow_0.html#T1">YELLOW_0:1</a></i>;<br/>


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