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<b>let </b><font color="Maroon">T1</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="struct_0.html#L1">1-sorted</a> , <font color="Maroon">T2</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="struct_0.html#L1">1-sorted</a> ;<br/><b>let </b><font color="Maroon">X</font> be    <a href="hidden.html#M1">set</a> ;<br/>



<b>assume </b><a NAME="E1:78"/>
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T1</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T2</font>
 ;<br/>

<b>let </b><font color="Maroon">N1</font> be   <a href="waybel_0.html#NM2">net</a> of <font color="Maroon">T1</font>;<br/><b>let </b><font color="Maroon">N2</font> be   <a href="waybel_0.html#NM2">net</a> of <font color="Maroon">T2</font>;<br/>



<b>assume </b><a NAME="E2:78"/><i><font color="Green">E41</font></i>: 
<font color="Maroon">N1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">N2</font>
 ;<br/>

<b>assume </b><a NAME="E3:78"/>
<font color="Maroon">N1</font> <a href="waybel_0.html#R1">is_eventually_in</a> <font color="Maroon">X</font>
 ;<br/>

<b>then consider </b><font color="Maroon">i</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">N1</font><b> such that </b><br/><a NAME="E5:78"/><i><font color="Green">E53</font></i>: 
for <font color="Olive">j</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">N1</font>  st <font color="Maroon">i</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Olive">j</font> holds <br/><font color="Maroon">N1</font> <a href="waybel_0.html#K2">.</a> <font color="Olive">j</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X</font>
 <b>by </b><i><a class="ref" href="waybel_0.html#D11">WAYBEL_0:def 11</a></i>;<br/>
<b>reconsider </b><font color="Maroon">ii</font> = <font color="Maroon">i</font> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">N2</font> <b>by </b><i/>;<br/>
<b>take </b>
<font color="Maroon">ii</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_0.html#D11">WAYBEL_0:def 11</a><br/>

<b>let </b><font color="Maroon">jj</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">N2</font>;<br/>

<b>reconsider </b><font color="Maroon">j</font> = <font color="Maroon">jj</font> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">N1</font> <b>by </b><i/>;<br/>
<b>assume </b><a NAME="E8:78"/><i><font color="Green">E54</font></i>: 
<font color="Maroon">ii</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">jj</font>
 ;<br/>

<a NAME="E9:78"/>
<font color="Maroon">N2</font> <a href="waybel_0.html#K2">.</a> <font color="Maroon">jj</font> <a href="hidden.html#R1">=</a> <font color="Maroon">N1</font> <a href="waybel_0.html#K2">.</a> <font color="Maroon">j</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E10:78"/>
<font color="Maroon">N2</font> <a href="waybel_0.html#K2">.</a> <font color="Maroon">jj</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X</font>
 <b>by </b><i>, , </i>;<br/>


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