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<b>set </b><font color="Maroon">c<sub>2</sub></font> =  <a href="waybel_4.html#K2" target="_self">IntRel</a> <font color="Maroon">c<sub>1</sub></font>;<br/>
<b>let </b><font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_4.html#D6" target="_self">WAYBEL_4:def 6</a><br/>

<b>assume </b><b>that </b><br/><a NAME="E1:13_1_1"/><i><font color="Green">E10</font></i>: 
<span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="domain_1.html#K1">]</a></span> <a href="hidden.html#R2">in</a>  <a href="waybel_4.html#K2" target="_self">IntRel</a> <font color="Maroon">c<sub>1</sub></font>
 <b>and </b><br/><a NAME="E2:13_1_1"/><i><font color="Green">E11</font></i>: 
<span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="domain_1.html#K1">]</a></span> <a href="hidden.html#R2">in</a>  <a href="waybel_4.html#K2" target="_self">IntRel</a> <font color="Maroon">c<sub>1</sub></font>
 ;<br/>

<a NAME="E3:13_1_1"/><i><font color="Green">E12</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">c<sub>5</sub></font>
 
<b>by </b><i><a class="txt" href="waybel_4.html#E1:13_1_1"><i><font color="Green">E10</font></i></a>, <a class="txt" href="waybel_4.html#E4"><i><font color="Green">Lemma2</font></i></a></i>;<br/>
<a NAME="E4:13_1_1"/><i><font color="Green">E13</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">c<sub>5</sub></font>
 
<b>by </b><i><a class="txt" href="waybel_4.html#E2:13_1_1"><i><font color="Green">E11</font></i></a>, <a class="txt" href="waybel_4.html#E4"><i><font color="Green">Lemma2</font></i></a></i>;<br/>
<a NAME="E5:13_1_1"/>
ex <font color="Olive">b<sub>1</sub></font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font> st <br/>( <font color="Maroon">c<sub>3</sub></font> <a href="orders_2.html#R1">&lt;=</a> <font color="Olive">b<sub>1</sub></font> &amp; <font color="Maroon">c<sub>4</sub></font> <a href="orders_2.html#R1">&lt;=</a> <font color="Olive">b<sub>1</sub></font> &amp; ( for <font color="Olive">b<sub>2</sub></font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font> st <font color="Maroon">c<sub>3</sub></font> <a href="orders_2.html#R1">&lt;=</a> <font color="Olive">b<sub>2</sub></font> &amp; <font color="Maroon">c<sub>4</sub></font> <a href="orders_2.html#R1">&lt;=</a> <font color="Olive">b<sub>2</sub></font> holds <br/><font color="Olive">b<sub>1</sub></font> <a href="orders_2.html#R1">&lt;=</a> <font color="Olive">b<sub>2</sub></font> ) )
 
<b>by </b><i><a class="ref" href="lattice3.html#D10">LATTICE3:def 10</a></i>;<br/>
<a NAME="E6:13_1_1"/><b>then </b>
<font color="Maroon">c<sub>3</sub></font> <a href="lattice3.html#K13">"\/"</a> <font color="Maroon">c<sub>4</sub></font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">c<sub>5</sub></font>
 
<b>by </b><i><a class="txt" href="waybel_4.html#E3:13_1_1"><i><font color="Green">E12</font></i></a>, <a class="txt" href="waybel_4.html#E4:13_1_1"><i><font color="Green">E13</font></i></a>, <a class="ref" href="lattice3.html#D13">LATTICE3:def 13</a></i>;<br/>
<b>hence </b><a NAME="E7:13_1_1"/>
<span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="lattice3.html#K10">"\/"</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<font color="Maroon">c<sub>5</sub></font></span><a href="domain_1.html#K1">]</a></span> <a href="hidden.html#R2">in</a>  <a href="waybel_4.html#K2" target="_self">IntRel</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="waybel_4.html#E4"><i><font color="Green">Lemma2</font></i></a></i>;<br/>


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