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<b>let </b><font color="Maroon">L1</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="orders_2.html#L1">RelStr</a> , <font color="Maroon">L2</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">g</font> be   <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">L1</font>,<font color="Maroon">L2</font>;<br/>



<b>assume </b><a NAME="E1:69"/><i><font color="Green">E32</font></i>: 
<font color="Maroon">g</font> is <a href="orders_3.html#V5">monotone</a>
 ;<br/>

<b>let </b><font color="Maroon">s1</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L1</font>, <font color="Maroon">s2</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L1</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_1.html#D2" target="_self">WAYBEL_1:def 2</a><br/>

<b>reconsider </b><font color="Maroon">s1'</font> = <font color="Maroon">g</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">s1</font>, <font color="Maroon">s2'</font> = <font color="Maroon">g</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">s2</font> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L2</font> ;<br/>
<a NAME="E3:69"/><i><font color="Green">E35</font></i>: 
( <font color="Maroon">s1'</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="waybel_1.html#K2" target="_self">corestr</a> <font color="Maroon">g</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">s1</font> &amp; <font color="Maroon">s2'</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="waybel_1.html#K2" target="_self">corestr</a> <font color="Maroon">g</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">s2</font> )
 
<b>by </b><i><a class="ref" href="waybel_1.html#D5" target="_self">Def5</a></i>;<br/>
<b>assume </b><a NAME="E4:69"/>
<font color="Maroon">s1</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">s2</font>
 ;<br/>

<a NAME="E5:69"/><b>then </b>
<font color="Maroon">g</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">s1</font> <a href="orders_2.html#R1">&lt;=</a> <font color="Maroon">g</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">s2</font>
 
<b>by </b><i><a class="ref" href="waybel_1.html#D7" target="_self">Def7</a>, </i>;<br/>
<b>hence </b><a NAME="E6:69"/>
<span class="p1">(<span class="default"><a href="waybel_1.html#K2" target="_self">corestr</a> <font color="Maroon">g</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">s1</font> <a href="orders_2.html#R1">&lt;=</a> <span class="p1">(<span class="default"><a href="waybel_1.html#K2" target="_self">corestr</a> <font color="Maroon">g</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">s2</font>
 <b>by </b><i>, <a class="ref" href="yellow_0.html#T61">YELLOW_0:61</a></i>;<br/>


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