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<b>let </b><font color="Maroon">S</font> be    <a href="orders_2.html#L1">RelStr</a> , <font color="Maroon">T</font> be    <a href="orders_2.html#L1">RelStr</a> ;<br/><b>let </b><font color="Maroon">K</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="orders_2.html#L1">RelStr</a> , <font color="Maroon">L</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="orders_2.html#L1">RelStr</a> ;<br/><b>let </b><font color="Maroon">f</font> be   <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">S</font>,<font color="Maroon">T</font>;<br/><b>let </b><font color="Maroon">g</font> be   <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">K</font>,<font color="Maroon">L</font>;<br/>







<b>assume </b><b>that </b><br/><a NAME="E1:4"/><i><font color="Green">E33</font></i>: 
 <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">S</font> #) <a href="hidden.html#R1">=</a>  <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">K</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">K</font> #)
 <b>and </b><br/><a NAME="E2:4"/><i><font color="Green">E34</font></i>: 
 <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">T</font> #) <a href="hidden.html#R1">=</a>  <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">L</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">L</font> #)
 <b>and </b><br/><a NAME="E3:4"/><i><font color="Green">E35</font></i>: 
<font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">g</font>
 <b>and </b><br/><a NAME="E4:4"/><i><font color="Green">E36</font></i>: 
<font color="Maroon">f</font> is <a href="waybel_0.html#V5">antitone</a>
 ;<br/>

<b>reconsider </b><font color="Maroon">S1</font> = <font color="Maroon">S</font>, <font color="Maroon">T1</font> = <font color="Maroon">T</font> as  non <a href="struct_0.html#V3">empty</a>  <a href="orders_2.html#L1">RelStr</a>  <b>by </b><i>, , <a class="ref" href="struct_0.html#D1">STRUCT_0:def 1</a></i>;<br/>
<b>reconsider </b><font color="Maroon">f1</font> = <font color="Maroon">f</font> as   <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">S1</font>,<font color="Maroon">T1</font> ;<br/>
<b>let </b><font color="Maroon">x</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">K</font>, <font color="Maroon">y</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">K</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_9.html#D1" target="_self">WAYBEL_9:def 1</a><br/>

<b>assume </b><a NAME="E7:4"/><i><font color="Green">E40</font></i>: 
<font color="Maroon">x</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">y</font>
 ;<br/>

<b>reconsider </b><font color="Maroon">x1</font> = <font color="Maroon">x</font>, <font color="Maroon">y1</font> = <font color="Maroon">y</font> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">S1</font> <b>by </b><i/>;<br/>
<a NAME="E9:4"/>
<font color="Maroon">x1</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">y1</font>
 
<b>by </b><i>, , <a class="ref" href="yellow_0.html#T1">YELLOW_0:1</a></i>;<br/>
<a NAME="E10:4"/><b>then </b>
<font color="Maroon">f1</font> <a href="yellow_6.html#K3">.</a> <font color="Maroon">x1</font> <a href="orders_2.html#NR2" target="_self">&gt;=</a> <font color="Maroon">f1</font> <a href="yellow_6.html#K3">.</a> <font color="Maroon">y1</font>
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E11:4"/>
<font color="Maroon">g</font> <a href="yellow_6.html#K3">.</a> <font color="Maroon">x</font> <a href="orders_2.html#NR2" target="_self">&gt;=</a> <font color="Maroon">g</font> <a href="yellow_6.html#K3">.</a> <font color="Maroon">y</font>
 <b>by </b><i>, , <a class="ref" href="yellow_0.html#T1">YELLOW_0:1</a></i>;<br/>


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