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<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:29_1_1_1"/>
<font color="Maroon">N</font> is <a href="waybel_0.html#V9">antitone</a>
 ;<br/><a NAME="E2:29_1_1_1"/><b>then </b><i><font color="Green">E26</font></i>: 
 <a href="waybel_0.html#K1">netmap</a> <font color="Maroon">N</font>,<font color="Maroon">T</font> is <a href="waybel_0.html#V5">antitone</a>
 <b>by </b><i><a class="ref" href="waybel_0.html#D10">WAYBEL_0:def 10</a></i>;<br/><b>let </b><font color="Maroon">i</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">N</font>, <font color="Maroon">j</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">N</font>;<br/><b>assume </b><a NAME="E3:29_1_1_1"/>
<font color="Maroon">i</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">j</font>
 ;<br/><a NAME="E4:29_1_1_1"/><b>then </b>
<span class="p1">(<span class="default"><a href="waybel_0.html#K1">netmap</a> <font color="Maroon">N</font>,<font color="Maroon">T</font></span>)</span> <a href="yellow_6.html#K3">.</a> <font color="Maroon">i</font> <a href="orders_2.html#NR2" target="_self">&gt;=</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K1">netmap</a> <font color="Maroon">N</font>,<font color="Maroon">T</font></span>)</span> <a href="yellow_6.html#K3">.</a> <font color="Maroon">j</font>
 <b>by </b><i>, <a class="ref" href="waybel_0.html#D5">WAYBEL_0:def 5</a></i>;<br/><a NAME="E5:29_1_1_1"/><b>then </b>
<font color="Maroon">N</font> <a href="waybel_0.html#K2">.</a> <font color="Maroon">i</font> <a href="orders_2.html#NR2" target="_self">&gt;=</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K1">netmap</a> <font color="Maroon">N</font>,<font color="Maroon">T</font></span>)</span> <a href="yellow_6.html#K3">.</a> <font color="Maroon">j</font>
 ;<br/><b>hence </b><a NAME="E6:29_1_1_1"/>
<font color="Maroon">N</font> <a href="waybel_0.html#K2">.</a> <font color="Maroon">i</font> <a href="orders_2.html#NR2" target="_self">&gt;=</a> <font color="Maroon">N</font> <a href="waybel_0.html#K2">.</a> <font color="Maroon">j</font>
 ;<br/></div>
<b>end;</b></div>

<b>assume </b><a NAME="E2:29_1_1"/><i><font color="Green">E30</font></i>: 
for <font color="Olive">i</font>, <font color="Olive">j</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">N</font>  st <font color="Olive">i</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Olive">j</font> holds <br/><font color="Maroon">N</font> <a href="waybel_0.html#K2">.</a> <font color="Olive">i</font> <a href="orders_2.html#NR2" target="_self">&gt;=</a> <font color="Maroon">N</font> <a href="waybel_0.html#K2">.</a> <font color="Olive">j</font>
 ;<br/>

<b>let </b><font color="Maroon">i</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">N</font>, <font color="Maroon">j</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">N</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_0.html#D5">WAYBEL_0:def 5</a>,<a class="ref" href="waybel_0.html#D10">WAYBEL_0:def 10</a><br/>

<a NAME="E3:29_1_1"/>
( <font color="Maroon">N</font> <a href="waybel_0.html#K2">.</a> <font color="Maroon">i</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K1">netmap</a> <font color="Maroon">N</font>,<font color="Maroon">T</font></span>)</span> <a href="yellow_6.html#K3">.</a> <font color="Maroon">i</font> &amp; <font color="Maroon">N</font> <a href="waybel_0.html#K2">.</a> <font color="Maroon">j</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K1">netmap</a> <font color="Maroon">N</font>,<font color="Maroon">T</font></span>)</span> <a href="yellow_6.html#K3">.</a> <font color="Maroon">j</font> )
 
;<br/>
<b>hence </b><a NAME="E4:29_1_1"/>
(  not <font color="Maroon">i</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">j</font> or for <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="subset_1.html#M1">Element</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T</font>  holds <br/>(  not <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K1">netmap</a> <font color="Maroon">N</font>,<font color="Maroon">T</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font> or  not <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K1">netmap</a> <font color="Maroon">N</font>,<font color="Maroon">T</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">j</font> or <font color="Olive">b<sub>2</sub></font> <a href="orders_2.html#R1">&lt;=</a> <font color="Olive">b<sub>1</sub></font> ) )
 <b>by </b><i/>;<br/>


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